Shivaji University, Kolhapur S.E. Mechanical Engineering … · · 2014-07-03D D y e2 2 1 1x Q 3...

Shivaji University, Kolhapur

S.E. Mechanical Engineering

Scheme of Teaching & Examination

SEMESTER III

Sr. No. Course Title

Teaching Scheme Examination Scheme

L T P Total

Hrs.

TP TW OE POE Total

Marks

1 Engineering

Mathematics - III

3 1 - 4 100 25 - - 125

2 *Electrical

Technology

3 - 2 4 100 25 - - 125

3 Applied

Thermodynamics

3 - 2 5 100 25 - 25 150

4 Metallurgy 3 - 2 5 100 25 25 - 150

5 Fluid Mechanics 3 - 2 5 100 25 - 25 150

6 Machine Drawing - - 2 2 - 25 - - 25

7 Computer Graphics - - 2 2 - 25 - - 25

8 *Computer

Programming using

C++

- - 2 1 - 25 - - 25

9 Workshop Practice -

III

- - 2 2 - 25 - - 25

Total 15 01 14 30 500 225 25 50 800

Course Plan

Course Engineering Mathematics III Course Code

Examination

Scheme

Theory Term Work POE Total

Max. Marks 100 25 -- 125

Contact

Hours/ week

3 1 -- 4

Prepared by Mr.Tele S.S. Date

Prerequisites Basic knowledge of derivative & integration

Basic concepts: periodic function ,even & odd function

Basic Knowledge of trigonometric & hyperbolic function

Basic knowledge of vectors

Course Outcomes

At the end of the course the students should be able to:

CO1 Understand basic concepts of Linear Differential Equations

CO2 Solve Linear Differential Equations with constant coefficients for solving

problems in Mechanical engineering fields

CO3 Understand Divergence of vector point function and Solenoidal vector fields and

Curl of a vector point function and Irrotational

CO4 Apply Laplace Transform for solving problems in different engineering fields

CO5 Apply fourier series to solve problems related to Mechanical Engineering

CO6 Solve Partial Differential Equations related to Mechanical Engineering

application

Mapping of COs with POs

POs

COs

a b c d E f G h i j k l

CO1 √ √ √ √ √ √

CO2 √ √ √ √ √

CO3 √ √ √ √ √ √

CO4 √ √ √ √ √

CO5 √ √ √ √

CO6 √ √ √ √ √

Degree of compliance: L : Low, M: Medium H: High

Course Contents

Unit

No.

Title No. of

Hours

Section I

1. Linear Differential Equations (LDE)

Linear Differential Equations with constant coefficients Definition,

Complementary function and Particular integral (without method of variation

of Parameters)

Homogeneous Linear differential equations

7

2. Applications of Linear Differential Equations with Constant Coefficients

The Whirling of Shafts.

Mass – spring Mechanical system

Free oscillations

Damped Oscillations

Forced oscillations without damping

7

3. Vector Differential Calculus

Differentiation of vectors

Gradient of scalar point function and Directional derivative

Divergence of vector point function and Solenoidal vector fields.

Curl of a vector point function and Irrotational

6

Section II

4. Laplace Transform

Definition, Transforms of elementary functions, Properties of Laplace

transform.

Transforms of derivatives and Integral.

Inverse Laplace transforms formulae.

Inverse Laplace transforms by using partial fractions and Convolution

theorem.

Solution of Linear differential equation with constants coefficients by

Laplace transforms method.

7

5. Fourier Series

Definition, Euler’s Formulae, Dirchilt’s Condition.

Functions having points of discontinuity

Change of interval

Expansion of odd and even periodic functions

Half range series

6

6. Application of Partial Differential Equations

The Wave Equation.

The method of separation of variables.

Fourier Series solution of wave equation.

One dimensional heat flow equation

The method of separation of variables.

Fourier Series solution of heat equation.

The Laplace equation in two dimensional heat flow (Steady State).

Solutions of Laplace equations by the Gauss – Siedel iterative method

7

Reference Books:

Sr.

No.

Title of Book Author Publisher/Edition Topics

1 Higher Engineering Mathematics Dr. B. S. Grewal Khanna

Publishers, Delhi.

2 A text book of Applied

Mathematics, Vol.-I,II,III

P. N. Wartikar & J.

N. Wartikar

Pune Vidyarthi

Griha Prakashan,

Pune.

3 Advanced Engineering

Mathematics

Erwin Kreyszig Wiley India Pvt.

Ltd.

4 Advanced Engineering

Mathematics

H. K. Das S. Chand

Publication

5 Mathematical methods of Science

and Engineering

Kanti B. Datta Cengage Learning

6 Engineering Mathematics V. Sundaram Vikas Publication

7 Advance Engineering Mathematics Merle C. Potter Oxford University

Press

Scheme of Marks

Section Unit No. Title Marks

I 1 Linear Differential Equations (LDE)

2 Applications of Linear Differential Equations with

Constant Coefficients

3 Vector Differential Calculus

II 1 Laplace Transform

2 Fourier Series

3 Application of Partial Differential Equations

Course Unitization

Section

Unit Course

Outcomes

No. of Questions in

No. Title CAT-I CAT-II

I 1 Linear Differential Equations CO1 Q.1

(15 Marks)

2 Applications of Linear Differential

Equations with Constant Coefficients CO2 Q.2

(15 Marks)

3 Vector Differential Calculus CO3 Q.1

(15 Marks)

II 1 Laplace Transform CO4 Q.2

(15 Marks)

2 Fourier Series CO5

3 Application of Partial Differential

Equations CO6

Unit wise Lesson Plan

Section I

Unit

No

1 Unit Title Linear Differential Equations (LDE)

Planned

Hrs.

7

Unit Outcomes

At the end of this unit the students should be able to:

UO1 To obtain Complementary Function & Particular Integral CO1

UO2 Reduce Homogeneous LDE to LDE with constant coefficient & solve further

Lesson schedule

Class

No.

Details to be covered

1 Introduction and Definition

2 To find C.F. for Real & Complex Roots

3 To find P.I. when X= ,sin ,cosaxe ax ax

4 To find P.I. when X=mx

5 To find P.I. when X= ,axe V xV

6 Transformation of Homogeneous LDE to LDE with constant coefficient & to solve

7 Examples

Review Questions

Q1 Solve 4 3 24 8 8 4 0D D D D y

UO1

Q2 Solve 2 2 1 1xD D y e

Q 3 Solve

22

5( 4 4)

xeD D y

x

Q4 Solve

23 2

23 sin(log )

d y d yx x xy x

dx dx

UO2

Q5 Solve 4 23 4 48sin cosD D y x x

Q6 Solve

22 2

23 5 sin(log )

d y dyx x y x x

dx dx

Q7 Solve

3 22 2

3 23 log

d y d y dyx x x x

dx dx dx

Q8 Solve 2 3 3 2 22 1x D x D x D x y

Unit

No

2 Unit Title Applications of Linear Differential Equations

with Constant Coefficients

Planned

Hrs.

07

Unit Outcomes


UO1 To Solve Linear Differential Equations with Constant Coefficients for solving

in Mechanical Engineering fields

CO2

Lesson schedule

Class

No.


1 The Whirling of Shafts

2 Examples on the Whirling of Shafts

3 Mass – spring Mechanical system

Free oscillations

4 Examples on free oscillations

5 Damped Oscillations

6 Examples on Damped Oscillations

7 Forced oscillations without damping & examples

Review Questions

Q1 The Whirling speed of shaft of length l is given by

44

40

d ya y

dx where

24 W

agEI

and y is displacement at a distance x from one end. If the ends of

the shaft are constrained in long bearings so that the slope at each end is zero.

Show that shaft will whirl when cos cosh 1al al

UO1

Q2 The differential equation of simple pendulum is

22

0 02sin

d xW x F nt

dt.If

initially x=0 , 0dx

dt.Determine the motion .What happens if 0W n

Q3 A body executes damped forced vibrations given by 2

2 2 2

22 cos

d x dxW x k a pt if k W

dt dt Prove that as t tends to ∞

22 2 2 2

cos

4

a pt bx

w p k p

where 2 2

2tan

kpb

W p

Q4 A spring fixed at the upper end supports a weight of 981 gm. at its lower end

.the sprig stretches 0.5cm. under a load 10gm. And the resistance (in gm. Wt.)

to the motion of the weight is numerically equal to1/10 of the speed of the

weight in cm./sec. The weight is pulled down 0.25cm. bellow its equilibrium

position and then released .Find the expression for the distance of weight from

its equilibrium position at time t during its first upward motion. Also find the

time it takes the damping factor to drop to 1/10 of its initial value

Unit

No

3 Unit Title Vector Differential Calculus Planned

Hrs.

6

Unit Outcomes


UO1 To find Gradient of scalar point function, Divergence & Curl of vector point

function

CO3

UO2 To identify given vector field is irrotationl or solenoidal

Lesson schedule

Class

No.



2 Vector Differential Operator Del

3 To find Gradient of scalar point function & Directional Derivative

4 Divergence of Vector point function

5 Curl of Vector point function

6 Irrotaional & Solenoidal

Review Questions

Q1 Find the directional derivative of 2 2 2x y y z z x at (2,2,2) in the normal

to the surface 2 24 2 2x y z at (2,-1,3)

UO1

.

Q2 Prove that

3

1 r

r r where r = xi+yj+zk

Q3 Find the directional derivative of 2 24x yz xz xyz at (1, 2, 3) in the

direction of 2i+j+k

Q4 Calculate divergence and curl of the vector 2 2 2F x yz i y zx j z xy k

Q5 Show that ( ) ( ) ( )f y z i z x j x y k is solenoidal

Q6 Show that 2 2 2F x yz i y zx j z xy k is irrotational and find its

scalar potational.

Q7 If 2sin sin sin 2 cosF y z x i x z yz j xy z y k then prove that it is

irrotational & hence find its scalar potential

UO2

Section II

Unit

No

4 Unit Title Laplace Transform Planned

Hrs.

7

Unit Outcomes


UO1 Obtain Laplace Transform & Inverse Laplace Transform of given function CO4

UO2 Apply Laplace Transform to solve Linear Differential Equation

Lesson schedule

Class

No.



2 Laplace Transform of some elementary functions

3 Properties of Laplace Transform

4 Inverse Laplace Transform

5 Inverse Laplace Transform by using Partial Fraction & Convolution Theorem

6 Solution of LDE with constant coefficient by Laplace Transform

7 Examples

Review Questions

Q1 Find the Laplace transform of

2 sin3te t

t

UO1

Q2 Find the Laplace transform of periodic function

( ) , 0 , ( ) ( )kt

f t t T f t T f tT

Q3

Evaluate 3

0

coste t t dt

Q4 Find

1

2

3 7

2 3

sL

s s

Q5 Using Laplace transform find the solution of initial value problem

21

29 18 ; (0) 0, (0) 0

d yy t y y

dt

UO2

Unit

No

5 Unit Title Fourier Series Planned

Hrs.

6

Unit Outcomes


UO1 To obtain Fourier Expansion of f(x) in (0, ) & (-π,π) CO5

UO2 To obtain Fourier Expansion of f(x) in (0,2l) & (-l,l)

UO3 Half range sine & cosine series of f(x)

Lesson schedule

Class

No.


1 Introduction and Definition Fourier Series

2 To find Fourier Series Expansion of f(x) in (0, )

3 To find Fourier Series Expansion of f(x) in (-π,π)

4 To obtain Fourier Series Expansion of f(x) in (0,2l) & (-l,l)

5 To obtain Fourier Expansion of Even & Odd function

6 Half range Sine & Cosine series

Review Questions

Q1

Obtain Fourier series for ;0

( ); 2

a xf x

a x

UO1 Q2 Find the Fourier series for the function in (-π,π) and hence

deduce that =

Q3 Find the Fourier series for the function in (0,2π) and

hence deduce that ,

Q4 Find the Fourier series for the function in (-π,π) and hence

deduce that =

Q5 If

2

;0 1( )

;1 2

x

x

xf x

x with period 2. Show that

21

4 1( ) cos 2 1

2 2 1n

f x n xn

UO2

Q6 Find the Fourier series for the function in (-a,a)

Q7 Obtain half range sine series for f(x) in (0,2) where,

f(x)= x 0 ≤ x ≤ 1

=2-x 1 ≤ x ≤ 2

UO3

Unit

No

6 Unit Title Application of Partial Differential Equations Planned

Hrs.

07

Unit Outcomes


UO1 Solve Partial Differential Equations related to Mechanical Engineering

application

CO6

Lesson schedule

Class

No.


1 The Wave Equation, The method of separation of variables

2 Fourier Series solution of wave equation

3 One dimensional heat flow equation, The method of separation of variables

4 Fourier Series solution of heat equation

5 The Laplace equation in two dimensional heat flow (Steady State)

6 Solutions of Laplace equations by the Gauss – Siedel iterative method

7 Examples

Review Questions

Q1 A string is stretched and fastened to two points l apart. Motion is started by

displacing the string in the form sinx

y al ,from which it is released

at time t=0.Show that the displacement of any point at distance x from one end

at time t is given by

, sin cosx ct

y x t al l

UO1

Q2 Solve

2

2

u uk

t x for the conduction of heat along a rod without radiation

sub. To following conditions

1. u is not ∞ as t →∞

2. 0 0,

ufor x x l

t

3. u=lx-x2 for t=0 between x=0, x=l

Q3 Solve the wave equation

2 22

2 2

u uc

t x under the condition u(0,t)=0,u(l,t)=0

for all t ,u(x,0)=f(x) and 0

( ),t

ug x o x l

t

Q4 Solve

2

2

u u

t x for the conduction u(x,0)=3sinnπx, u(0,t)=0 and u(1,t)=0

Where 0 < x < 1, t>0

Model Question Paper

Course Title : Engg. Mathematics-III Max.

Marks

Duration 3 hours 100

Instructions:

All questions are compulsory

Figures to the right indicates full marks

Use of non-programmable calculator is allowed

Section-I

Marks

1 Attempt any FOUR 20m

a Solve

22

5( 4 4)

xeD D y

x

5m

b Solve

23 2

23 sin(log )

d y dyx x xy x

dx dx

5m

c Solve 2 3 21 3 1D D y x x

5m

d Solve

23 2 22 5 6 3xD D D y e

5m

e Solve

2 2 3( 4 3) cos

2D D y x

5m

2 Attempt any TWO 15m

a The Whirling speed of shaft of length l is given by

44

40

d ya y

dx where

24 W

agEI

and y is displacement at a distance x from one end.If the

ends of the shaft are constrained in long bearings so that the slope at

each end is zero.Show that shaft will whirl when cos cosh 1al al

8m

b The differential equation of simple pendulum is

22

0 02sin

d xW x F nt

dt

.If initially x=0 , 0dx

dt.Determine the motion .What happens if

0W n

7m

c A body executes damped forced vibrations given by 2

2 2 2

22 cos



22 2 2 2

cos

4

a pt bx

w p k p

where 2 2

2tan

kpb

W p

7m

3 Attempt any THREE 15m

a Find the directional derivative of xy yz xz at (1, 2, 3) in the

direction of 2i+j+k

5m

b Calculate divergence and curl of the vector 2 22F x yz i xyj y xy k

5m

c Show that 2 2 23 3 3 3 3 3F x yz i y zx j z xy k is irrotational

and find its scalar potational

5m

d Prove that

3

1 r

r r where r = xi+yj+zk

5m

Section-II

4 Attempt any FOUR 20m

a Find the Laplace transform of

cos cosat bt

t

5m

b Find

21 2 4

1 2 3

sL

s s s

5m

c

Find 1

22

1

3L

s s by Convolution Theorem

5m

d Using Laplace transform find the solution of initial value problem

3 21

3 22 2 0; (0) 0, (0) 0, (0) 6lld y d y dy

y y y ydt dt dt

5m

e Find 4 2L t H t 5m

5 Attempt any THREE 15m

a Obtain Fourier series for

sin ;0( )

0 ; 2

x xf x

x

5m

b

Obtain Fourier series for

2

21

1 ; 0

( )

;0

x

x

x

f x

x

5m

c Find the Fourier series for the function in (-a,a) 5m

d Obtain Half range cosine series for 2( )f x x x in 0 1x 5m

6 Attempt any ONE 15m

a A string is stretched and fastened to two points l apart. Motion is started

by displacing the string in the form sinx

y al ,from which it is

released at time t=0.Show that the displacement of any point at distance

x from one end at time t is given by

, sin cosx ct

y x t al l

b Solve

2

2

u uk

t x for the conduction of heat along a rod without

radiation sub. To following conditions

1. u is not ∞ as t →∞

2.

0 0,u

for x x lt

3. u=lx-x

2 for t=0 between x=0, x=l

Assignments

List of assignments to meet the requirements of the syllabus

Assignment No. 1

Assignment

Title

Linear Differential Equations (LDE)

CO1

Batch I 1.

4

4cos cosh

d yy x x

dx

2. 2( 2 1) logxD D y e x

3. 4

44 sinh

d yy x x

dx

4. 3 2

2 2

3 23 log

d y d y dyx x x x

dx dx dx

5. 2 2 2( 2) 8( sin 2 )xD y e x x

6. 5( ) 5 xD D y e

7. 2 2 3

( 4 3) cos2

D D y x

Batch II 1. 5( ) 5 xD D y e

2. 2 2 3

( 4 3) cos2

D D y x

3. 2

2

22 log

d y dyx x y x x

dx dx

4. 3

2

34 2cosh 2

d y dyx

dx dx

5. 2

2 3 2( 1) 1 0D D D y

6. 2

3 2

24 4 cos 2xd y dy

y x e xdx dx

Batch III 1.

2 1 1( 3 2) cos

e x xD D y

e e

2. 2 2( ) tanD a y ax

3. 3 2

2 2

3 23 log

d y d y dyx x x x

dx dx dx

4. 2 2 3

( 4 3) cos2

D D y x

5. 2

3 2

24 4 cos 2xd y dy

y x e xdx dx

6. 2

2

2 2

13

(1 )

d y dyx x y

dx dx x

7 . 3 2

2

3 22

d y d yx x

dx dx

Assignment No. 2

Assignment

Title

Applications of Linear Differential Equations with Constant

Coefficients

CO2

Batch I 1. The differential equation of simple pendulum is

22

0 02sin

d xW x F nt

dt.If

initially x=0 , 0dx

dt.Determine the motion .What happens if 0W n

2. The Whirling speed of shaft of length l is given by 4

4

40

d ya y

dx where

24 W

agEI

and y is displacement at a distance x from one end.If the ends

of the shaft are constrained in long bearings so that the slope at each end is

zero. Show that shaft will whirl when cos cosh 1al al

Batch II 1. A body executes damped forced vibrations given by 2

2 2 2

22 cos



2

2 2 2 2

cos

4

a pt bx

w p k p

where 2 2

2tan

kpb

W p

2. A spring fixed at the upper end supports a weight of 981 gm. at its lower end

.the sprig stretches 0.5cm. under a load 10gm. And the resistance (in gm. Wt.)

to the motion of the weight is numerically equal to1/10 of the speed of the

weight in cm./sec. The weight is pulled down 0.25cm. bellow its equilibrium

position and then released .Find the expression for the distance of weight

from its equilibrium position at time t during its first upward motion. Also

find the time it takes the damping factor to drop to 1/10 of its initial value

Batch III 1. The differential equation of the displacement y of whirling shaft when

the weight of the shaft is taken in to account is 4 2

4

d y WEI y W

dx g

taking the shaft of length 2l with the origin at the center and the short

bearing at both end.Show that the maximum deflection of the shaft is

2sec sec 2

2

ghal al

2. A sprig which scratches by an amount e under a force 2m e is

suspended from support O and has mass m at the lower end. Initially

the mass is at rest in its equilibrium position at a point A bellow O .A

vertical oscillation is now given to the support O such that at any time

(t>0) its displacement bellow its initial position is sina nt .Show that

the displacement x of the mass bellow a is given by 2

2 2

2sin

d xx a nt

dt

Assignment No. 3

Assignment

Title

Vector Differential Calculus CO3

Batch I 1) A vector field is given by 2 2 2 2( ) ( )A x xy i y x y j . Show that the field

is irrotational and find the scalar potential.

2) Show that the gradient field describing a motion is irrotational.

3) Find the unit vector normal to the surface 3 2 4xy z at (-1, -1, 2)

4) Find ( )div at (1, 1, 1) where 2 3xy z and 2 2 2xy zy z x

5) If r xi yj zk and a and b are constant vectors Prove that,

5 3

. . .1. . 3

a r b r a ra b

r r r

Batch II 1) Prove that, for every field V , div curl V = 0

2) Find the angle between two surfaces 2 3x y z and 2log 4 0x z y at

1,2,1 .

3) Prove that 2

2

1(log )r

r

4) If a is a constant vector and r xi yj zk Prove that curl ( a r ) =2 a .

5) Find the directional derivative of2

V , where 2 2 2V xy i zy j xz k at the

point (2, 0, 3) in the direction of the outward normal surface to the sphere

2 2 2 14x y z at the point (3, 2, 1).

Batch III 1) If a is a constant vector and r xi yj zk Prove that curl ( a r ) =2 a .

2) Find the directional derivative of2

V , where 2 2 2V xy i zy j xz k at the

point (2, 0, 3) in the direction of the outward normal surface to the sphere

2 2 2 14x y z at the point (3, 2, 1).

3) A vector r is defined by r xi yj zk . If r r then show that vector

nr r is irrotational.

4) A vector field is given by 2 2 2 2( ) ( )A x xy i y x y j . Show that the field

is irrotational and find the scalar potential.

5) Show that the gradient field describing a motion is irrotational.

6) Find the unit vector normal to the surface 3 2 4xy z at (-1, -1, 2)

Assignment No. 4

Assignment

Title

Laplace Transform CO4

Batch I 1. Find 3 (2sin5 3cos7 )tL e t t

2. Find 3 (2cos5 3sin5 )tL e t t 2 sin 4tL t e t

3. Evaluate 3

0

coste t t dt

4. Find 2

1 2 4

2 3

sL

s s

5. Find the Laplace transform of cos3 cos 2t t

t

6. Using Laplace transform find the solution of initial value problem

7. 2

1

2

1sin ; (0) 1, (0)

2

d yy t y y

dt

Batch II 1. Find 2 (2sin3 3cosh 4 )tL e t t

2. Find 2 cos3tL t e t

3. Evaluate 2 3

0

t te e

t

4. Find 2

1

2

10 13

1 5 6

s sL

s s s

5. Find 1

22

1

3L

s s by Convolution Theorem

6.

Using Laplace transform find the solution of initial value problem

3 2

1

3 22 2 0; (0) 0, (0) 0, (0) 6lld y d y dy

y y y ydt dt dt

Batch III

1. Find 2 (10cos4 20sin5 )tL e t t

2. Find sin 2d

L t tdt

3. Find the Laplace transform of cos cosat bt

t

4. Find 1

2

4 5

1 2

sL

s s

5. Find

21

22 2

sL

s a by Convolution Theorem

6. Using Laplace Transform find the solution of initial value problem 2

2 1

22 12 ; (0) 2, (0) 6td y dy

y e y ydt dt

Assignment No. 5

Assignment

Title

Fourier Series CO5

Batch I 1. Obtain Fourier Series of

2

( )2

xf x in the interval (0,2π)

2. Obtain Fourier Series of in the interval (0,2π)

, 0( )

2 , 2

x xf x

x x

3. Obtain Fourier Series of ex in –π<x<π

4. Obtain Fourier Series of f(x)=x+x2 when –π<x<π

5. Obtain Fourier Series of f(x)=2-(x2/2) in 0<x<2

6. Find Half range sine series of

, 02

( )

,2

x x

f x

x x

Batch II

1.

1. Obtain Fourier Series of in the interval (0,2π)

sin , 0( )

0, 2

x xf x

x

2. Obtain Fourier Series of e-ax

in –π<x<π

3. Find the Fourier series for the function in (-a,a)

4. Find Half range cosine series of

, 02

( )

,2

x x

f x

x x

5. Find the Fourier series for the function x2 in the interval (-π,π)

6. Find the Fourier series for the function

, 02

( )

, 02

x x

f x

x x

Batch III 1. Find the Fourier series for the function in (-π,π) and

hence deduce that =

2. Obtain Fourier Series of

2

( )2

xf x in the interval (0,2π)

3. Find the Fourier series for the function f(x)=4-x2 in the interval (0,2)

4. Find the Fourier series for the function 0, 5 0

( )3, 0 5

xf x

x

5. Find Half range cosine series of 1, 0 1

( ), 1 2

xf x

x x

6. Find Half range sine series of , 0 1

( )2 , 1 2

x xf x

x x

Assignment No. 6

Assignment

Title

Application of Partial Differential Equations CO6

Batch I

1. Solve the wave equation

2 22

2 2

u uc

t x

under the condition

u(0,t)=0,u(l,t)=0 for all t ,u(x,0)=f(x) and 0

( ),t

ug x o x l

t

2. Solve 2

2

u u

t x for the conduction u(x,0)=3sinnπx, u(0,t)=0 and u(1,t)=0

Where 0 < x < 1, t>0

Batch II 1. A string is stretched and fastened to two points l apart. Motion is started

by displacing the string in the form sinx

y al ,from which it is

released at time t=0.Show that the displacement of any point at distance

x from one end at time t is given by

, sin cosx ct

y x t al l

2. Solve 2

2

u uk

t x for the conduction of heat along a rod without radiation sub. To following

conditions

u is not ∞ as t →∞

0 0,u

for x x lt

u=lx-x2 for t=0 between x=0, x=l

Batch III

1. Solve the Laplace equation

2 2

2 20

u u

x y subject to the conditions

(0, ) ( , ) ( ,0) 0 & ( , ) sinn x

u y u l y u x u x al

2. The ends A & B of a rod 20cm long have the temp at 300

C & 800C until

steady state. The temp. of the ends are changed to 400C & 60

0C

respectively. Find the temp. distribution in the rod at time t

Course Plan

Course Electrical Technology

Course Code

Examination

Scheme


Max. Marks 100 25 125

Contact

Hours/ week

3 2-alternate week -- 5/3

Prepared by Prof. I.D.Pharne Date 14/05/2014

Prerequisites The student should know about the basic concepts of electrical engineering.

Course Outcomes


CO1 Describe the basics of DC motor.

CO2 Describe the basic concepts related to the three phase induction motor.

CO3 Describe the concept of starter used, speed control methods of three phase

induction motor.

CO4 Describe the working of special purpose motor.

CO5 Describe the basic of drives & types, criterion for selecting the electric drive.

CO6 Describe the processes used for heating.


POs COs


CO1 √

CO2 √ √ √

CO3 √ √

CO4 √

CO5 √ √

CO6 √ √

Course Contents

Unit No. Title No. of

Hours

Section I

1. DC motors: Construction, Working, Types, Back emf, Speed equation, Torque

equation, Speed torque characteristics, Applications, Power losses in

d.c. Motors. Need of starter, 3 point starter, 4 point starter, face plate

controller. Speed control of D.C. Shunt and series motor (numerical

treatment), Thyristorbased speed control for D.C. Motor. Reversal of

rotation, Electric braking of shunt and series motor.

8

2. Three Phase Induction Motor: Advantages of induction motor, Construction, Types, Working, Speed

equation, Torque equation, Starting torque, Concept of full load torque,

Torque speed characteristics, Power stages in motor (Numerical

treatment)

6

3. Three Phase Induction Motor Control: Need of starter, Star delta starter, DOL starter, Autotransformer starter,

Rotor resistance starter. Speed control methods- Pole changing, Voltage

control, VFD (V/f) control, Block schematic of electronic VFD control,

Rotor resistance speed control. Reversal of rotation.

7

4. Special Purpose Motors: Features, construction, Working, characteristics, Applications of ac

servo motor, dc servo motor, Stepper motor (VR type and PM type).

Introduction to BLDC motor and linear induction motor.

7

5 Electrical Drives: Advantages of electrical drives, Types – Individual, group, Multi-motor

drive. Types of mechanical loads (active, passive), nature of mechanical

loads (With respect to speed–torque variation, with respect to duty

period), 2 quadrant and 4 quadrant operation of electric machines.

Criteria for selection of motors for applications like lathe, Traction,

pumps, Conveyors, Lift, etc. Determination of power rating of electric

motors for continuous duty – Constant load.

6

6 Electric Heating: Working and construction of - Indirect resistance furnace, Salt bath

furnace, Direct arc furnace, Indirect arc furnace, Core type induction

furnace, Coreless induction furnace. High frequency eddy current

heating. (Numerical treatment on energy conversion)

6

Reference Books:

Sr. No. Title of Book Author Publisher/Edition Units

1. Text book of Electrical

Technology – Vol-II

B. L. Theraja. S.

Chand publication

All

2. Electrical Power S. L. Uppal,

DBS Publ.

3. Utilization of Electric Power R. K. Rajput,

Laxmi

publication.

4. Electrical Technology U. A. Bakshi

Scheme of Marks


1 DC motors 18

2 Three Phase Induction Motor: 18

3 Three Phase Induction Motor Control: 18

4 Special Purpose Motors 18

5 Electrical Drives 18

6 Electric Heating 18

Course Unitization

Section

Unit Course

Outcomes

No. of Questions in


I

1 DC motors CO1 1

2 Three Phase Induction

Motor:

CO2 1

3 Three Phase Induction

Motor Control:

CO3 1

II 4 Special Purpose Motors CO4 1

5 Electrical Drives CO5 1

6 Electric Heating CO6 1


Section I

Unit No 1. Unit Title DC motors Planned

Hrs.

8

Unit Outcomes


UO1 Describe the basics of DC motor. CO1

Lesson schedule

Class

No.


1 Construction, Working, Types, Back emf, Speed equation, Torque equation, Speed

torque characteristics, Applications, Power losses in d.c. Motors.

2 Need of starter, 3 point starter, 4 point starter,

3 Face plate controller. Speed control of D.C. Shunt motor

4 Speed control of DC series motor (numerical treatment)

5 Thyristorbased speed control for D.C. Motor.

6 Reversal of rotation,

7 Electric braking of shunt motor.

8 Electric braking of series motor.

Review Questions

Q1 Explain the construction & working principal of DC motor. CO1

Q2 Explain the speed control methods of DC shunt motor CO1

Q3 Explain the speed control methods of DC series motor. CO1

Unit No 2 Unit Title Three Phase Induction Motor: Planned

Hrs.

6

Unit Outcomes


UO2 Describe the basic concepts related to the three phase induction motor. CO2

Lesson schedule

Class

No.


1 Advantages of induction motor,

2 Construction, Types, Working,

3 Speed equation, Torque equation

4 Starting torque, Concept of full load torque,

5 Torque speed characteristics, Power stages in motor

6 Numerical treatment.

Review Questions

Q1 Explain the speed torque characteristics of three phase induction motor. CO2

Unit No 3 Unit Title Three Phase Induction Motor Control: Planned

Hrs.

7

Unit Outcomes

UO3 Describe the concept of starter used, speed control methods of three phase

induction motor.

CO3

Lesson schedule

Class

No.


1 Need of starter, Star delta starter,

2 DOL starter, Autotransformer starter,

3 Rotor resistance starter. Speed control methods- Pole changing,

4 Voltage control, VFD (V/f) control,

5 Block schematic of electronic VFD control,

6 Rotor resistance speed control.

7 Reversal of rotation

Review Questions

Q1 Explain the need of starter & types of starters. CO3

Q1 Explain the speed control methods of three phase induction motor. CO3

Unit No 4 Unit Title Special Purpose Motors:

Planned

Hrs.

7

Unit Outcomes

UO4 Describe the working of special purpose motor. CO4

Lesson schedule

Class

No.


1,2 Features, construction, Working, characteristics, Applications of ac servo motor, dc

servo motor,

3,4 Stepper motor (VR type and PM type).

5,6 Introduction to BLDC motor

7 Linear induction motor.

Review Questions

Q1 Explain the AC servo motor. CO4

Q2 Explain the DC servo motor. CO4

Q3 Explain stepper motor. CO4

Unit No 5 Unit Title Electric Drives Planned

Hrs.

6

Unit Outcomes

UO5 Describe the basic of drives & types, criterion for selecting the electric CO5

drive.

Lesson schedule

Class

No.


1 Advantages of electrical drives, Types – Individual, group,

2 Multi-motor drive. Types of mechanical loads (active, passive),

3 nature of mechanical loads (With respect to speed–torque variation, with respect to

duty period),

4 2 quadrant and 4 quadrant operation of electric machines.

5 Criteria for selection of motors for applications like lathe, Traction, pumps,

Conveyors, Lift, etc.

6 Determination of power rating of electric motors for continuous duty – Constant load.

Review Questions

Q1 Differentiate the group drive & individual drive. CO5

Q2 Explain the types of mechanical loads. CO5

Q3 Explain the criterion for selection of drives. CO5

Unit No 6 Unit Title Electric heating Planned

Hrs.

6

Unit Outcomes

UO6 Describe the processes used for heating. CO6

Lesson schedule

Class

No.


1 Working and construction of - Indirect resistance furnace,

2 Salt bath furnace, Direct arc furnace, Indirect arc furnace,

3 Core type induction furnace, Coreless induction furnace.

4 High frequency eddy current heating.

5,6 (Numerical treatment on energy conversion)

Review Questions

Q1 Explain the working & construction of indirect resistance furnace. CO6

Q2 Explain the working & construction of Salt bath furnace, Direct arc

furnace.

CO6

Q3 Explain the High frequency eddy current heating. CO6


Course Title : Electrical Technology

Duration: 3

Hrs

Max.

Marks:

100

Instructions:

1] Attempt any three questions from each section.

2] Figure to right indicates full marks.

3] Assume necessary data if required.

Section-I

Marks

1 a Explain the construction & working principal of DC motor. 8

b Explain the speed control methods of DC shunt motor 8

2 a Explain the speed control methods of DC series motor. 8

b Explain the speed torque characteristics of three phase induction

motor. 8

3 a Explain the AC servo motor. 8

b Explain the working & construction of indirect resistance furnace. 8

4 a Explain the working & construction of Salt bath furnace, Direct arc

furnace. 9

b Explain the High frequency eddy current heating. 9

Section-II

Marks

1 a Explain the need of starter & types of starters. 9

b Explain the speed control methods of three phase induction motor. 9

2 a Differentiate the group drive & individual drive. 8

b Explain the types of mechanical loads. 8

3 a Explain the criterion for selection of drives. 8

b Explain the DC servo motor. 8

4 a Explain stepper motor. 8

b Explain speed reversal of DC motor. 8

Assignments

List of experiments/assignments to meet the requirements of the syllabus

Assignment No. 1

Assignment Title CO1

Batch I 1. Explain the construction & working principal of DC motor.

2. Explain the speed control methods of DC shunt motor.

3. Explain the speed control methods of DC series motor.

4. Explain the speed torque characteristics of three phase induction

motor.

Batch II 1. Explain the AC servo motor.

2. Explain the working & construction of indirect resistance furnace.

3. Explain the working & construction of Salt bath furnace, Direct arc

furnace.

4. Explain the High frequency eddy current heating.

Batch III 1. Explain the need of starter & types of starters.

2. Explain the speed control methods of three phase induction motor.

3. Differentiate the group drive & individual drive.

4. Explain the types of mechanical loads.

Batch IV 1. Explain the criterion for selection of drives.

2. Explain the DC servo motor.

3. Explain stepper motor.

4. Explain speed reversal of DC motor.

Course Plan

Course Applied Thermodynamics Course Code

Examination

Scheme


Max. Marks 100 25 25 150

Contact

Hours/ week

3 2 -- 5

Prepared by Tanaji B. Shinde Date 11/05/2014

Prerequisites Student must have the knowledge of basic physics and chemistry also basic

mathematical skills in terms of derivative and integration to develop equations

for given conditions

Course Outcomes


CO1 Understand basic concepts of physics and chemistry behind thermodynamics

CO2 Solve introductory problems on Rankine cycle.

CO3 Understand functioning of steam generators and condensers.

CO4 Design the steam nozzle.

CO5 Understand basic concepts of Impulse turbine.

CO6 Understand basic concepts of Reaction turbine, Governing and trouble shooting

of turbine.


POs COs


CO1 √ √

CO2 √ √

CO3 √ √

CO4 √ √

CO5 √

CO6 √

Course Contents


Hours

Section I

1. Review of Laws of Thermodynamics:

Zeroth law, first law and Second law of thermodynamics, Statement of

third law of thermodynamics. Equivalence andCorrolories of Second

Law, Numerical treatment on first and second law, Clausius theorem,

Entropy, Clausius inequality, Entropy as a property of system, Entropy

of pure substance. T-s and h-s planes, Entropy change in a reversible

and irreversible processes, Increase of entropy principle, Calculation of

entropy changes of gases and vapours,(numerical treatment should be

based on processes) Availability: Available and unavailable energy:

availability of a closed and open system, Availability of work and heat

reservoirs, Anergy, energy and exergy,( No numerical on Availability)

8

2. Properties of Pure Substances and Vapour Power Cycles:

Properties of steam, Use of steam table and Mollier chart, Deviation of

real gases from Ideal gases, Equations of state- Vander Waal, Beattie-

Bridgemen, VirialandDiterici‟ sequations, P-V-T surfaces and triple

point of water.(Descriptive treatment) Carnot cycle using steam,

Limitations of Carnot cycle Rankine cycle, Representation on T-s and h-

s planes, Thermal efficiency, Specific steam consumption. Work ratio,

Effect of steam supply pressure and temperature, Condenser pressure on

the performance. (Numerical Treatment), Reheat and regenerative steam

power cycles.

6

3. Steam Generators and Steam Condensers:

Study and classification of Boilers, Thermal efficiency of Boiler

(Theoretical and Actual), Functions, Elements of condensing plant,

Types of steam condensers, surface and jet condensers, Comparison,

Vacuum efficiency, Condenser efficiency, Loss of vacuum, Sources of

air leakages, Methods of leak detection, Air extraction methods,

Estimation of cooling water required, Capacity of air extraction pump,

Air ejectors.

6

4. Steam Nozzles:

Functions, Shapes, Critical pressure ratio, Maximum discharge

condition, Effect of faction, Design of throat and exit areas, Nozzle

efficiency, Velocity coefficient, Coefficient of discharge, Supersaturated

flow, Degree of under-cooling and degree of super saturation, Effects of

super saturation.

5

5. Impulse Turbines:

Principles of operation, Classification, Impulse and reaction steam

turbine, compounding of steam turbines. Flow through impulse turbine

blades, Velocity diagrams, Work done, Efficiencies, End thrust, Blade

friction, Influence of ratio of blade speed to steam speed on efficiency

of single and multistage turbines and its condition curve and reheat

8

factors.

6. Reaction Turbines:

Flow through impulse reaction blades, Velocity diagram, and degree of

reaction, Parson's reaction turbine, Back pressure and pass out turbine.

Governing of steam turbines. Losses in steam turbines, Performance of

steam turbines. Function of diaphragm, Glands, Turbine troubles like

Erosion, Corrosion, Vibration, Fouling etc.

7

Reference Books:


1 Thermal Engineering R. K. Rajput Laxmi

Publications 1-6

2 Thermal Engineering R.S. Khurmi &

J.K.Gupta S. Chand 1-6

3 Thermodynamics: an engineering

approach Cengel & Boles TMH 1-2

4 Engineering Thermodynamics P.K. Nag TMH 1-2

5 Steam & Gas Turbines R. Yadav CPH Allahabad 4-6

6 Thermal Engineering M.M Rathod TMH 1-6

Scheme of Marks


I

1 Review of Laws of Thermodynamics

50 2 Properties of Pure Substances and Vapour Power Cycles

3 Steam Generators and Steam Condensers:

II

4 Steam Nozzles

50 5 Impulse Turbines

6 Reaction Turbines

Course Unitization

Section

Unit Course

Outcomes

No. of Questions in


I

1 Review of Laws of

Thermodynamics

CO1 1 -

2 Properties of Pure Substances

and Vapour Power Cycles

CO2 1 -

3 Steam Generators and Steam

Condensers:

CO3 1 -

II

4 Steam Nozzles CO4 - 1

5 Impulse Turbines CO5 - 1

6 Reaction Turbines CO6 - 1


Section I

Unit No 1 Unit Title Review of Laws of Thermodynamics Planned

Hrs.

8

Unit Outcomes


UO1 Explain zeroth, first and second laws of thermodynamics and how they

can be applied to thermodynamic systems

CO1

UO2 Identify, formulate and solve problems based on three laws of

thermodynamics

CO1

UO3 Apply the first and second law of thermodynamics to processes CO1

UO4 Define new property called entropy to quantify second law effects CO1

UO5 Establish the increase of entropy principle CO1

UO6 Calculate the entropy changes that takes place during processes for pure

substance

CO1

UO7 Define exergy, which is the maximum useful work that could be obtained

from the system at a given state in a specified environment

CO1

UO8 Define reversible work, which is the maximum useful work that can be

obtained as a system undergoes a process between two specified states

CO1

UO9 Explain the concept of Available and unavailable energy CO1

UO10 Calculate decrease in available energy when heat is transferred through a

finite temperature difference

CO1

Lesson schedule

Class No. Details to be covered

1 Zeroth law, first law & Second law and third law of thermodynamics

2 Equivalence & Corrolories of Second Law

3 Numerical treatment on first and second law

4 Clausius inequality, entropy as a property of system, entropy of pure substance

5 T-s and h-s planes, entropy change in a reversible and irreversible processes,

increase of entropy principle

6 calculation of entropy changes of gases and vapours, Statement of

third law of thermodynamics

7 Available and unavailable energy: availability of a closed and open system

8 availability of work and heat reservoirs, Anergy, energy and exergy

Review Questions

Q1 State the three laws of thermodynamics CO1

Q2

A reversible engine is supplied with heat from two constant temperature

sources at 900 K and 600 K and rejects heat to a constant temperature

sink at 300 K. The engine develops work equivalent to 90kj/s and rejects

heat at rate of 56kj/s Estimate:

1)Heat supplied by each source

2)Thermal efficiency of engine

CO1

Q3 What do you mean by the term ‘Entropy’ ? CO1

Q4 Prove that entropy is a property of a system. CO1

Q5 Derive an expression for the change in entropy of the universe CO1

Q6 Derive expressions for entropy changes for a closed system in the

following cases :

(i) General case for change of entropy of a gas

(ii) Heating a gas at constant volume

(iii) Heating a gas at constant pressure

(iv) Polytropic process

CO1

Q7 1 kg of air is compressed according to the law pv1.25 = constant from

1.03 bar and 15°C to 16.45 bar. Calculate the change in entropy.

[Ans. 0.255 kJ/kg K]

CO1

Q8 A quantity of gas (mean molecular weight 36.2) is compressed according

to the law pvn = constant, the initial pressure and volume being 1.03 bar

and 0.98 m3 respectively. The temperature at the start of compression is

17°C and at the end it is 115°C. The amount of heat rejected during

compression is 3.78 kJ, cp = 0.92. Calculate :

(i)Value of n, (ii) Final pressure, (iii) Change in entropy.

[Ans. (i) 1.33 ; (ii) 1.107 bar ; (iii) 0.228 kJ/kg K]

CO1

Q9 Explain the concept of available and unavailable energy. When does the

system become dead ?

CO1

Q10 Derive an expression for availability in non-flow systems. CO1

Q11 Derive an expression for decrease in available energy when heat is

transferred through a finite temperature difference.

CO1

Unit No 2 Unit Title Properties of Pure Substances and vapour

power cycle

Planned

Hrs.

6

Unit Outcomes


UO1 Introduce the concept of a pure substance CO2

UO2 Illustrate the P-v, T-v, and P-T property diagrams and P-v-T surfaces of

pure substances.

CO2

UO3 Demonstrate the procedures for determining thermodynamic properties of

pure substances from tables of property data

CO2

UO4 Explain process involved in Carnot and Rankine vapour power cycle CO2

UO5 Differentiate Carnot and Rankine vapour power cycle CO2

UO6 Calculate performance of Carnot and vapour power cycle in terms of

thermal efficiency, specific steam consumption. Work ratio

CO2

Lesson schedule


1 Properties of steam, use of steam table and Mollier chart, Deviation of real gases

from ideal gases,

2 Equations of state- Vander Waal, Beattie-Bridgemen, Virial & Diterici’s equations

3 Carnot cycle using steam, limitations of Carnot cycle

4 Representation on T-s and h-s planes, P-V-T surfaces & triple point of water

5 effect of steam supply pressure and temperature, condenser pressure on the

performance, Reheat regenerative steam power cycles

6 Numerical to find out thermal efficiency, specific steam consumption. Work ratio

Review Questions

Q1 Draw and explain a p-v, p-T (pressure-temperature),h-s and T-s diagram

for a pure substance

CO2

Q2 Explain the following terms relating to steam formation :

(i) Sensible heat of water, (ii) Latent heat of steam,

(iii) Dryness fraction of steam, (iv) Enthalpy of wet steam, and

(v) Superheated steam.

CO2

Q3 Write a short note on

pure substance

p-V-T surface

Mollier chart

CO2

Q4 Explain the various operation of a Carnot cycle. Also represent it on a T-s

and p-V diagrams

CO2

Q5 Describe the different operations of Rankine cycle. Derive also the

expression for its efficiency

CO2

Q6 State the methods of increasing the thermal efficiency of a Rankine cycle. CO2

Q7 A simple Rankine cycle works between pressure of 30 bar and 0.04 bar,

the initial condition of steam being dry saturated, calculate the cycle

efficiency, work ratio and specific steam consumption.

[Ans. 35%, 0.997, 3.84 kg/kWh]

CO2

Q8 A steam power plant works between 40 bar and 0.05 bar. If the steam

supplied is dry saturated and the cycle of operation is Rankine, find :

CO2

(i) Cycle efficiency (ii) Specific steam consumption.

[Ans. (i) 35.5%, (ii) 3.8 kg/kWh]

Q9 In a Rankine cycle, the steam at inlet to turbine is saturated at a pressure of

30 bar and the exhaust pressure is 0.25 bar. Determine :

(i) The pump work (ii) Turbine work

(iii) Rankine efficiency (iv) Condenser heat flow

(v) Dryness at the end of expansion.

Assume flow rate of 10 kg/s. [Ans. (i) 30 kW, (ii) 7410 kW, (iii) 29.2%,

(iv) 17900 kW, (v) 0.763]

CO2

Unit No 3 Unit Title Steam Generators and Steam Condensers Planned

Hrs.

6

Unit Outcomes


UO1 Explains construction, working and functions of steam generators and

condenser

CO3

UO2 Classify steam condensers and steam boilers CO3

UO3 Evaluate the performance of steam condenser and estimation of cooling

water required

CO3

Lesson schedule


1 Study and classification of Boilers

2 Thermal efficiency of Boiler ( Theoretical and Actual)

3 Functions, elements of condensing plant, types of steam

condensers

4 surface and jet condensers, comparison

5 vacuum efficiency, condenser efficiency, loss of vacuum, sources of air leakages,

methods of leak detection, air extraction methods

6 Estimation of cooling water required, capacity of air extraction pump, air ejectors.

Review Questions

Q1 Explain construction & working of steam condensing plant CO3

Q2 Explain construction & working of simple vertical steam boiler CO3

Q3 Classify steam boiler CO3

Q4

Classify steam condenser. CO3

Q4 Compare jet and surface condenser CO3

Q6 A surface condenser is designed to handle 10000kg of steam per hour.

The steam enters at 0.08 bar and 0.9 dryness and the condensate leaves at

the corresponding saturation temperature. The pressure is constant

through the condenser. Estimate cooling water temperature rise is limited

to 10 degree C. 514980 kg/hr

CO3

Q7 Explain the following

Condenser efficiency

Vacuum efficiency

sources of air leakages

methods of leak detection

Edwards air pump

Air ejector

CO3

Unit No 4 Unit Title Steam Nozzles Planned

Hrs.

5

Unit Outcomes


UO1 Explain function, working and types of nozzles CO4

UO2 Explain nozzle efficiency, effect of friction on nozzle efficiency and

supersaturated flow in nozzle

CO4

UO3 Design the inlet and throat areas CO4

Lesson schedule


1 Functions, shapes, critical pressure ratio, maximum discharge condition

2 design of throat and exit areas, nozzle efficiency, velocity coefficient,

coefficient of discharge

3 supersaturated flow

4 Degree of under-cooling and degree of super saturation, effects of super saturation.

5 effect of friction on nozzle efficiency

Review Questions

Q1 Derive expression for maximum discharge through nozzle CO4

Q2

Write a short note on following

Effect of friction on nozzle efficiency

Supersaturated flow in nozzle

Effects of supersaturation

Different types of nozzles

CO4

Q3 Dry saturated steam at 10 bar is expanded isentropically in a nozzle to 0.1

bar. Using steam table only, find the dryness fraction of steam at exit.

Also find velocity of steam leaving the nozzle when 1.Initial velocity is

negligible 2.Initial velocity of steam is 135 m/s.

Ans:-[x2=0.791, V2=1176 m/s and if V1=135m/s then V2=1184 m/s]

Unit No 5 Unit Title Impulse Turbine Planned

Hrs.

8

Unit Outcomes


UO1 Explain function, working of impulse Steam turbines CO5

UO2 Evaluate the work done, power and efficiency of impulse with the help of

velocity diagram

CO5

UO3 Explain compounding, Governing of steam turbine and its need CO5

Lesson schedule


1 Principles of operation,

2 classification steam turbine

3 compounding of steam turbines

4 Flow through impulse turbine blades

5 velocity diagrams for impulse steam turbine

6 work done, efficiencies, end thrust, blade friction ,

7 influence of ratio of blade speed to steam speed on efficiency of single and

multistage turbines and its condition curve

8 reheat factors

Review Questions

Q1 Compare impulse and reaction turbine with the help of principle of

operation and velocity triangles

CO5

Q2

Write a short note on following

Classification of steam turbine

compounding of steam turbines

Governing of steam turbines

Losses in steam turbines

Function of diaphragm, glands

CO5

Q3 Derive expression for blade efficiency of impulse turbine CO5

Q4 What do you mean by compounding of steam turbine? Explain with help

of pressure-velocity diagram velocity compounding of steam turbine

CO5

Q5 Explain with neat sketch

Nozzle governing

Bypass governing

Throttle governing

CO5

Q6 In a De-level turbine, the steam enters the wheel through a nozzle with a

velocity of 500 m/s and at a angle of 200 to the direction of motion of

blade. The blade speed is 200 m/s and the exit angle of moving blade is

250 .find the inlet angle of the moving blade, exit velocity of steam and

its direction and work done per kg of steam

CO5

Q7 Steam issuing from a nozzle at 600 m/s enters the first set of blades of a CO5

two row wheel impulse turbine. The tips of both the set of moving blades

are inclined at 300 to the plane of motion. Find the speed of the blades, so

that the steam is finally discharged axially, Neglect friction. Also find

power developed by the turbine, if the mass of steam supplied to the

turbine is 3 kg/s.

Unit No 6 Unit Title Reaction Turbine Planned

Hrs.

7

Unit Outcomes


UO1 Explain function, working of impulse reaction Steam turbines CO6

UO2 Evaluate the work done, power and efficiency of impulse with the help of

velocity diagram

CO6

UO3 Explain Governing of reaction steam turbine and its need CO6

Lesson schedule


1 Flow through impulse reaction blades

2 velocity diagram, and degree of reaction

3 parson's reaction turbine, and backpressure and pass out turbine

4 Governing of steam turbines, Losses in steam turbine

5 performance of steam turbines

6 Function of diaphragm, glands

7 turbine troubles like erosion, corrosion, vibration, fouling etc.

Review Questions

Q1 Explain with neat sketch

Nozzle governing

Bypass governing

Throttle governing

CO6

Q2 In a one stage of reaction steam turbine, both the fixed and moving blades

have inlet and outlet blade tip angles of 350 and 20

0 respectively. The

mean blade speed is 80 m/s and steam consumption is 22500 kg/hr.

Determine the power developed in the pair, If the isentropic heat drop for

the pair is 23.5 kJ/kg

CO6

Q3 Write a short note on following

Velocity diagram Parson's reaction turbine

back pressure and pass out steam turbines




Turbine troubles like Erosion, Corrosion, Vibration, Fouling etc.

CO6


Course Title : Applied Thermodynamics

Duration

3 Hours

Max.

Marks

100

Instructions:

Solve any three from section I and II

Figures to the right indicates full marks

Use of calculators,steam tables and Mollier diagram is allowed

Section-I

Marks

1 a State the three laws of thermodynamics 8

b A reversible engine is supplied with heat from two constant

temperature sources at 900 K and 600 K and rejects heat to a constant

temperature sink at 300 K. The engine develops work equivalent to

90kj/s and rejects heat at rate of 56kj/s Estimate:

1)Heat supplied by each source

2)Thermal efficiency of engine

8

2 a Derive expressions for entropy changes for a closed system in the

following cases :

(i) General case for change of entropy of a gas

(ii) Heating a gas at constant volume

(iii) Heating a gas at constant pressure

(iv) Polytropic process

8

b A system receives 10000 kJ of heat at 500 K from a source at 1000 K.

The temperature of the surroundings is 300 K. Assuming that the

temperature of the system and source remains constant during heat

transfer,

find :(i) The entropy production due to above mentioned heat transfer

;

(ii) Decrease in available energy.

8

3 a Explain the various operation of a Carnot and Rankine cycle. Also

represent it on a T-s,h-s and p-V diagrams 8

b In a Rankine cycle, the steam at inlet to turbine is saturated at a

pressure of 30 bar and the exhaust pressure is 0.25 bar. Determine :

(i) The pump work (ii) Turbine work

(iii) Rankine efficiency (iv) Condenser heat flow

(v) Dryness at the end of expansion.

Assume flow rate of 10 kg/s.

[Ans. (i) 30 kW, (ii) 7410 kW, (iii) 29.2%, (iv) 17900 kW, (v) 0.763]

10

4 a Classify steam condenser and Compare jet and surface condenser 8

b A surface condenser is designed to handle 10000kg of steam per hour.

The steam enters at 0.08 bar and 0.9 dryness and the condensate

leaves at the corresponding saturation temperature. The pressure is

constant through the condenser. Estimate cooling water temperature

rise is limited to 10 degree C. [ans:- 514980 kg/hr]

8

Section-II

Marks

5 a Derive expression for maximum discharge through nozzle 8

b Dry saturated steam at 10 bar is expanded isentropically in a nozzle to

0.1 bar. Using steam table only, find the dryness fraction of steam at

exit. Also find velocity of steam leaving the nozzle when 1.Initial

velocity is negligible 2.Initial velocity of steam is 135 m/s.

Ans:-[x2=0.791, V2=1176 m/s and if V1=135m/s then V2=1184 m/s]

8

6 a Compare impulse and reaction turbine with the help of principle of

operation and velocity triangles

8

b In a De-level turbine, the steam enters the wheel through a nozzle with

a velocity of 500 m/s and at a angle of 200 to the direction of motion

of blade. The blade speed is 200 m/s and the exit angle of moving

blade is 250 .find the inlet angle of the moving blade, exit velocity of

steam and its direction and work done per kg of steam

8

7 a What do you mean by compounding of steam turbine? Explain with

help of pressure-velocity diagram velocity compounding of steam

turbine

8

b Steam issuing from a nozzle at 600 m/s enters the first set of blades of

a two row wheel impulse turbine. The tips of both the set of moving

blades are inclined at 300 to the plane of motion. Find the speed of the

blades, so that the steam is finally discharged axially, Neglect friction.

Also find power developed by the turbine, if the mass of steam

supplied to the turbine is 3 kg/s.

8

8 Write a short note on any 3 of the following

Classification of steam turbine




Supersaturated flow in nozzle

18

Assignments


Assignment No. 1

Assignment Title Numerical on first law, second law of thermodynamics and

entropy

CO1

Batch I Solve any 5 numerical on different types of

processes(p=c,v=c,pv=c,adiabatic and polytropic) to find out displacement

work

Batch II Solve any 5 numerical depending on first law of thermodynamics

Batch III Solve any 5 numerical depending on second law of thermodynamics

Batch IV Solve any 5 numerical to find out entropy changes for various

processes(p=c,v=c,pv=c,adiabatic and polytropic)

Assignment No. 2

Assignment Title Numerical on vapour power cycle CO2

Batch I Solve any 5 numerical on Carnot cycle to find out its perfomance

Batch II Solve any 5 numerical on Rankine cycle to find out its perfomance

Batch III Solve any 5 numerical on reheat cycle to find out its perfomance

Batch IV Solve any 5 numerical based on use of Mollier diagram, steam table and

linear interpolation

Assignment No. 3

Assignment Title Numerical on Steam Generators and Steam Condensers CO3

Batch I Solve any 5 numerical on steam condenser to find out condenser as well as

vaccum efficiency

Batch II Solve any 5 numerical on steam condenser to find out Estimation of

cooling water required

Batch III Solve any 5 numerical to find out theoretical Thermal efficiency of Boiler

Batch IV Solve any 5 numerical to find out actual Thermal efficiency of Boiler

Assignment No. 4

Assignment Title Numerical on Steam nozzle CO4

Batch I Solve any 5 numerical on steam nozzle to find out its inlet and area and

diameters

Batch II Solve any 5 numerical on steam nozzle to find out its efficiency

Batch III Solve any 5 numerical on steam nozzle to find out maximum discharge

through nozzle

Batch IV Solve any 5 numerical on steam nozzle to find out its inlet and outlet

velocity of steam flow

Assignment No. 5

Assignment Title Numerical on impulse turbine CO5 &

CO6

Batch I Solve any 5 numerical on single stage impulse turbine to find out work

done and efficiency of impulse turbine

Batch II Solve any 5 numerical on multi-stage impulse turbine to find out work

done and efficiency of impulse turbine

Batch III Solve any 5 numerical on single stage reaction turbine to find out work

done and efficiency of reaction turbine

Batch IV Solve any 5 numerical on multi-stage impulse turbine to find out work

done and efficiency of reaction turbine

Course Plan

Course Metallurgy Course Code 43594

Examination

Scheme


Max. Marks 100 25 25 150

Contact

Hours/ week

3 2 -- 5

Prepared by Sanket S. Vathare Date 13/05/2014

Prerequisites This course requires the student to know about the basic concepts of thermodynamics, fundamentals of material engineering and crystallography.

Course Outcomes


CO1 Explain the basics properties of metals, their alloys, their crystal structures and imperfections.

CO2 Explain the phase diagrams with respect to typical composition, properties and applications.

CO3 Describe and perform the destructive & non destructive metallurgical testing methods.

CO4 Comprehend the principles of different transformations of austenite, significance and effects of alloying elements on TTT diagrams.

CO5 Explain different heat treatment processes, types of furnaces used for respective treatment and effect of temperature and time on properties of steel.

CO6 Describes the principles of powder metallurgy, stages of manufacturing and applications.


POs COs


CO1 √ √ √ √

CO2 √ √

CO3 √ √ √ √ √ √

CO4 √

CO3 √ √ √ √ √

CO6 √ √ √ √

Course Contents


Hours

Section I

1. Metals and alloy systems: Introduction to Metallic and Non-metallic materials and its classification

(metals/alloys, polymers and composites)

a) Metals, Metallic bonds, Crystal structure (SC, BCC, FCC, HCP),

Imperfections in crystals

b) Alloy formation by crystallization, Nucleation and growth, Cooling curves,

Dendritic structure and coring.

c) Solid solutions and intermediate phases

d) Phases and Gibbs phase rule

e) Construction of equilibrium diagrams from cooling curves, Isomorphous system( Solid Solution), Eutectic, Partial solubility Peritectic and Intermetallic Compounds Lever arm principles, Long and short-range freezing.

07

2. Study of phase diagrams :

(With respect to typical compositions, Properties and Applications for the

following alloys.)

a)Fe- Fe3C equilibrium diagram - Ferrous alloys (Plain carbon steels, cast

iron)

b) Alloy steels- Free cutting steels, HSLA high carbon low alloy steels,

maraging steels. creep resisting steels, Stainless steels- different types. Tool

steels- types,

c) Selection of materials and Specifications based on -IS, BS, SAE, AISI,

d) Copper based alloys brasses Cu- Zn, Bronzes Cu- Sn, , Cu- Be, Cu-Ni.

e) Aluminum based alloys Al- Cu(Duralumin) - Al-Si (Modification),

f) Pb- Sn(Solders and fusible alloys)

g)Sn-Sb alloys ( Babbits)

h) Ti (Ti-6Al-4V)

i) Miscellaneous alloys such as super alloys, Heating element alloys. Study of low expansion and controlled expansion alloys.

11

3 Principles of Metallurgical Testing: a) Destructive Testing methods; Tensile, Compressive, Impact, Fatigue, Creep, Hardness etc. b) Non- Destructive Testing: - Dye penetrant, magnetic, ultrasonic, Radiography, Eddy Current testing.

04

Section II

4. Principles of Heat Treatment : a) Transformation of Pearlite into austenite upon heating, b) Transformation of austenite into Pearlite, Bainite and Martensite on cooling. c) TTT –Diagram and CCT - Diagrams - significance, Effect of alloying dements on TTT diagram and its significance.

d) Heat treatment furnaces and equipment‟s, controlled atmosphere.

05

5. Heat Treatment Processes: 09

a) Heat Treatment of Steels

I. Annealing – Types-Full, Partial and Sub critical annealing (Various types)

and purposes

II. Normalising- Purposes

III. Hardening (Hardening types), Purposes, Austempering and Martempering,

Mechanism of quenching and Quenching media, Hardenability- Concept and

methods of determination of hardenability- Grossmans critical diameter

method and Jominy end quench test.

IV. Tempering Types, Structural transformations during tempering, purposes

sub zero treatment

V. Surface hardening - Flame and Induction

VI. Chemical heat treatments for case hardening - Carburising, Nitriding,

Cyniding, Carbonitriding

b) Heat treatment of Non ferrous Alloys

I. Annealing- Stress relief, Recrystallization and Process annealing

II. Precipitation hardening - Basic requirements, Stages, Common alloys,

Variables,theories

c) Heat treatment defects and remedies.

6. Powder Metallurgy: a) Advantages, Limitations and Applications of Powder Metallurgy

b) Powder manufacturing types- Mechanical, Physical, Chemical and Electro-

Chemical

c) Mixing/ Blending- (Double cone and Y- Cone mixers)

d) Compaction- types- Conventional, Isostatic, HERF, Powder rolling and

extrussion

e) Sintering- Types liquid stage and solid stage sintering

f) Finishing operations: Sizing, Machining, Infiltration and Impregnation

g) Flowcharts for – Self-lubricating bearings, Electrical Contacts, Carbide Tipped Tools, Sintered aluminum products, Filters.

04

Reference Books:


1 Introduction to physical metallurgy S.H.Avner Mcgraw Hill 1 to 6

2 Material science and metallurgy V.D. Kodgire Everest Publishers Pune

1 to 6

3 Material Science And Engineering William Callister Wiley India Edition

1,2

4 Mechanical Metallurgy G.E. Dieter Tata McGraw-Hill, New Delhi

1 to 6

5 Engineering Metallurgy Clerk Verney 1 to 6

6 Engineering Metallurgy I and II Higgins R. A., Hodder English language Book Society

1 to 6

7 Physical Metallurgy Vijendra Singh Standard Publishers, Delhi

1,2,3

8 Heat Treatments Principles and Practices

T.V. Rajan / C.P. Sharma

Prentice Hall of India Pvt Ltd,, New Delhi

4,5

9 Physical Metallurgy V Raghwan - 1 to 6

10 Heat treatment of Steels Prabhudev HMT Handbook 4,5

Scheme of Marks


I 1,2,3 Metals and alloy systems, Study of phase diagrams, Principles of Mechanical Testing

50

II 4,5,6 Principles of Heat Treatment, Heat Treatment Processes, Powder Metallurgy

50

Course Unitization

Section

Unit Course

Outcomes

No. of Questions in


I 1 Metals and alloy systems CO1 Q.1, Q.2, Q.3 Solve any two questions

-

2 Study of phase diagrams CO2

3 Principles of Mechanical Testing

CO3

II 4 Principles of Heat Treatment CO4 - Q.1, Q.2, Q.3 Solve any two

questions.

5 Heat Treatment Processes CO5

6 Powder Metallurgy CO6


Section I

Unit No 1 Unit Title Metals and alloy systems Planned

Hrs.

07

Unit Outcomes


UO1 Represent the crystal structures, crystal imperfections of metals and their alloys. CO1

UO2 Explain alloy formation by crystallization, nucleation, solidification and growth. CO1

UO3 Describe the solid solutions and intermediate phases. CO1

UO4 Explain phases and phase rule. CO1

UO5 Discuss the construction of equilibrium diagrams from cooling curves, components of different solubility in liquid and solid state.

CO1

UO6 Describe Lever arm principle, dendritic structure and coring. CO1

UO7 Differentiate between Eutectic, Eutectoid and peritectic transformation. CO1

Lesson schedule

Class

No.


1 Metals, metallic bonds, crystal structures, imperfections in crystals,

2 Alloy formation by crystallization, nucleation, solidification and growth.

3 Solid solutions and intermediate phases.

4 Phases and phase rule,

5 Construction of equilibrium diagrams from cooling curves, Lever arm principle

6 Eutectic, Eutectoid and peritectic transformation,

7 dendritic structure and coring

Review Questions

Q1 Sketch and explain BCC, FCC and HCP structures with example. (May 2013) CO1

Q2 Write a short note on crystal imperfections. (May-2004,Nov-2011) CO1

Q3 Differentiate between crystal, dendrite and grain. CO1

Q4 What is solid solution? What are the types of solid solution? Enumerate the conditions for their formation [with diagrams]. (May 2004, Nov-2005, Nov-2009, Nov-2011, May2011, May 2012)

CO1

Q5 Explain with diagram- Gibbs phase rule and Lever arm principle.(May 2004, Nov-2009, Nov-2011, May-2011, Nov-2012)

CO1

Q6 Explain how the equilibrium diagram can be constructed from cooling curve? CO1

Q7 Write a short note on Partial Eutectic system.(May-2012) CO1

Q8 Explain the alloy formation by crystallization, nucleation, solidification and growth.

CO1

Q9 Explain dendritic structure and coring.(Nov-2009, May-2011, Nov-2012,May-2013)

CO1

Q10 Differentiate between Eutectic, eutectoid and perictic reaction.(Nov-2005, May-2005, Nov-2012, May-2012, May-2013)

CO1

Unit No 2 Unit Title Study of phase diagrams Planned

Hrs.

11

Unit Outcomes


UO1 Classify Ferrous alloys with respect to composition, properties and applications. CO2

UO2 Explain the Iron-Iron Carbon diagram with respect to temperature and composition.

CO2

UO3 Define the structures and Explain carbon solubility in iron along with slow cooling of steel

CO2

UO4 Explain effect of alloying elements on iron carbon diagram CO2

UO5 Describe selection of materials and specifications based on IS, BS, SAE and AISI CO2

UO6 Classify Non-Ferrous alloys with respect to composition, properties and applications

CO2

UO7 Explain various copper alloys like Cu-Sn, Cu-Zn, Cu-Be with respect to phase diagram.

CO2

UO8 Explain various Aluminum alloys like Al-Cu, Al-Zn, Al-Si with respect to phase diagram.

CO2

UO9 Explain various Tin alloys like Pb-Sn, Sn-Sb with respect to phase diagram. CO2

UO10 Explain various Magnesium alloys like Pb-Sn, Sn-Sb with respect to phase diagram.

CO2

UO11 Explain miscellaneous alloys as super alloys with respect to phase diagram. CO2

Lesson schedule

Class

No.


1 Cooling curve for pure iron, manufacturing of wrought iron, its properties and application.

2 Iron-Iron Carbon diagram in accordance with cooling curve.

3 Definition of structures, carbon solubility in iron, slow cooling of steel.

4 Effect of alloying elements on iron carbon diagram

5 Classification of steels, types of alloy steels, Effect of alloying elements, properties and applications of tool steels.

6 Types of cast iron, its properties and applications.

7 Copper and its alloys- phase diagrams, its properties and applications.

8 Aluminum and its alloys- phase diagrams, its properties and applications.

9 Magnesium and its alloys- phase diagrams, its properties and applications.

10 Nikel and its alloys- phase diagrams, its properties and applications.

11 Tin, zinc and its alloys- phase diagrams, its properties and applications.

Review Questions

Q1 Sketch and explain cooling curve for pure iron. CO2

Q2 Sketch and explain Iron-Iron Carbon diagram.(Nov-2005, May-2005, Nov-2009, Nov-2011, May-2011, Nov-2012, May-2012, May-2013)

CO2

Q3 Explain Carbon solubility in iron. CO2

Q4 Explain the significance of critical temperature lines. CO2

Q5 Classify Steels in accordance with chemical composition. Properties and application. (Nov-2005, Nov-2012)

CO2

Q6 What is slow cooling of steel? CO2

Q7 Write a short note on stainless steel. (Nov-2009, Nov-2011, May-2011, Nov- CO2

2012, May-2012)

Q8 Explain the effect of alloying elements on properties of steel. CO2

Q9 Explain the types of tool steel, their properties and applications. CO2

Q10 Classify cast iron in accordance with chemical composition. Properties and application. (Nov-2005, Nov-2011, May-2011 )

CO2

Q11 What are the limitations on the use of Iron-Iron carbon diagram? CO2

Q12 Explain types of brasses, their properties and applications.(Nov-2011, May-2011, May-2012)

CO2

Q13 Define and explain following structures- Austenite, Ferrite, Pearlite, Cementite, Lediburite.

CO2

Q14 Explain types of bronzes, their properties and applications. (May-2005, May-2011, Nov-2012, May-2012)

CO2

Q15 Write a short note on babbits. (Nov-2005) CO2

Q16 Explain aluminum alloys with their properties and application. (May-2005, Nov-2011, May-2011, Nov-2012, May-2012)

CO2

Q17 Explain Tin alloys with their properties and applications. CO2

Q18 What are superalloys? CO2

Unit No 3 Unit Title Principles of Mechanical Testing Planned

Hrs.

04

Unit Outcomes


UO1 Explain the significance of metallurgical testing. CO3

UO2 Describe and perform Tensile and compression test on UTM. CO3

UO3 Describe and perform fatigue, impact and hardness testing. CO3

UO4 Explain the significance of Non Destructive testing. CO3

UO5 Describe and perform dye penetrant and magnetic particle inspection test. CO3

UO6 Describe and perform Ultrasonic crack detection test and radiography. CO3

Lesson schedule

Class

No.


1 Introduction to metallurgical testing, tensile testing, compression testing.

2 Hardness, Impact, Fatigue and creep testing.

3 Dye penetrant and magnetic particle inspection testing.

4 Ultrasonic crack detection, eddy current and radiography testing

Review Questions

Q1 Explain the significance of metallurgical testing. CO3

Q2 Differentiate between resilience and toughness. CO3

Q3 Explain the terms- proportional limit, elastic limit, yield point, yield strength, ultimate strength, modulus of elasticity. (Nov-2005)

CO3

Q4 What is the difference between engineering stress-strain curve and true stress-strain curve.

CO3

Q5 Sketch and explain Impact test with test specimen. (May- 2005, May- 2005, Nov-2011, May-2013)

CO3

Q6 Sketch and explain magnetic particle inspection. (May 2004, May- 2005, May- 2009, Nov-2011, Nov-2012, May-2013)

CO3

Q7 What are the limitations of Magnetic particle inspection and ultrasonic inspection?

CO3

Q8 Explain radiography of metals. (Nov-2005, May- 2005, Nov-2011) CO3

Q9 Sketch and explain ultrasonic inspection test. (May- 2005, May- 2005, May-2011, Nov-2012)

CO3

Q10 What are the recent developments in non destructive testing? CO3

Q11 Write a short note on tensile testing method. (May 2004, Nov-2005) CO3

Q12 Sketch and explain brinell hardness test. (Nov-2005, May- 2005, May- 2005) CO3

Q13 Explain fatigue testing method with neat diagram. (May- 2005, May-2013) CO3

Q14 Explain Rockwell hardness testing method with neat diagram. (May 2004, Nov-2005, May- 2005, May-2012, May-2013)

CO3

Q15 Sketch and explain stress-strain diagram for mild steel. (May-2004, Nov-2005, May-2012)

CO3

Q16 Write a short note on creep test. (May-2005, Nov-2011, May-2011, Nov-2012, May-2012)

CO3

Q17 Write a short note on fluorescent penetrant test.(May 2004, May- 2005, May- 2005, May-2011)

CO3

Q18 Write a short on Eddy current inspection. CO3


Course Title : Metallurgy

Duration Max.

Marks

1 ½ Hrs Instructions: 1. Attempt any three questions. 50

2. Figures to right indicates full marks

3.Draw neat sketch wherever necessary

Section-I

Marks

1 a What are imperfections in metallic crystals? Explain different point defects. 08

b Explain why pure metals show under cooling during solidification using phase rule

08

2 a Sketch and explain Iron-Iron Carbide diagram. List the important temperatures, reactions, and important compositions on the diagram.

12

b Explain fatigue testing method with neat sketch. 06

Section-II

Marks

3 a Draw neat sketch of Cu-Zn equilibrium diagram and explain different phase changes taking place on the diagram.

08

b Describe impact testing method with neat sketch. 08

4 Write short notes on any four of the following.

a) Types of α brasses

b) Partial eutectic system

c) Solid solutions

d) Tin bronzes

e) Aluminum alloys

f) Stainless steels

16

Section II

Unit No 4 Unit Title Principles of Heat treatment Planned

Hrs.

05

Unit Outcomes


UO1 Explain the effect of temperature and time on transformation. CO4

UO2 Explain Transformation of pearlite into austenite upon heating. CO4

UO3 Explain Transformation of austenite into pearlite, bainite and martensite on cooling.

CO4

UO4 Sketch and explain TTT and CCT diagram and its significance. CO4

UO5 Describe the effect of alloying elements on TTT diagram. CO4

Lesson schedule

Class

No.


1 Transformation of pearlite into austenite upon heating,

2 Transformation of austenite into pearlite, bainite and martensite on cooling,

3 TTT diagram and its significance, effect of alloying elements on TTT diagram,

4 CCT diagram and its significance,

5 CCT diagram for alloy steels.

Review Questions

Q1 Describe completely the changes that take place during the slow cooling of a 0.5% carbon steel from austenitic range.

CO4

Q2 What is the effect of increasing cooling rate on – a) temperature of austenite transformation, b) fineness of pearlite, c) amount of proeutectoid constituent?

CO4

Q3 Define critical cooling rate. CO4

Q4 What factors influence the critical cooling rate ? Explain. CO4

Q5 Describe how a TTT diagram is determined experimentally. CO4

Q6 What are the limitations on the use of TTT diagram? CO4

Q7 Sketch and explain TTT diagram for 0.8% carbon steel and indicate the cooling rates you would suggest for annealing, normalizing and hardening. (Nov-2005, Nov-2009, Nov-2011, Nov-2012, May-2012, May-2013)

CO4

Q8 Compare between pearlitic and bainitic transformation. (Nov-2009, May-2011, Nov-2012, May-2013)

CO4

Q9 Write a short note on CCT diagrams. (Nov-2005, 2009, Nov-2011, Nov-2012, May-2012, May-2013)

CO4

Q10 Explain the mechanism of transformation of austenite into bainite. How does the transformation of upper and lower bainite differ from each other? (Nov-2011,

CO4

May-2011,May-2012, May-2013)

Q11 What is the effect and significance of alloying elements on TTT diagrams? CO4

Q12 Differentiate between CCT diagram and TTT diagram. (Nov-2005, Nov-2011, May-2011, Nov-2012)

CO4

Q13 Explain pearlite to austenite transformation. CO4

Q14 What are solid state transformations in metals and alloys? Explain any one transformation in detail.

CO4

Q15 Sketch and explain TTT diagram for 0.2% carbon steel. (May-2011, Nov-2012, May-2012)

CO4

Unit No 5 Unit Title Heat treatment Processes Planned

Hrs.

09

Unit Outcomes


UO1 Explain the softening processes- full annealing, spherodising and subcriticle annealing.

CO5

UO2 Describe the microstructural changes during heating and cooling in annealing. CO5

UO3 Explain the toughning treatments- Normalizing, hardening and tempering. CO5

UO4 Differentiate between Austempering and martempering. CO5

UO5 Explain the surface hardening methods- flame and induction hardening. CO5

UO6 Explain the case hardening methods- carburizing, nitriding, cyninding, carbonitriding.

CO5

UO7 Describe the precipitation hardening- requirements, stages and common alloys. CO5

Lesson schedule

Class

No.


1 Softening processes- Annealing, spherodising.

2 Softening processes- sub criticle annealing, stress relief annealing,

3 Toughning treatments- Normalizing, temperatures applied and its effects on properties

4 Hardening- mechanism of quenching, quenching medium, temperatures and microstructures

5 Tempering- tempering temperatures, its effect on microstructures and properties.

6 Austempering, martempering- structural transformations and applications.

7 Hardenability, aging and sub-zero treatment.

8 Hardening- Surface hardening- Flame and Induction.

9 Case Hardening- Carburizing, Nitriding, cyniding and carbonitriding

10 Precipitaion Hardening- requirements, stages and common alloys.

Review Questions

Q1 Why do annealed steel show a decrease in tensile strength above 0.8% carbon? CO5

Q2 Is it possible to determine the approximate carbon content of a normalized steel from microscopic study? Explain.

CO5

Q3 Why do normalized steel show an increase in tensile strength upto 1.2 % and then a decrease?

CO5

Q4 Explain why the surface hardness of quenched high carbon steel may be less than the hardness under the surface.

CO5

Q5 What are the advantages of specifying steel on the basis of hardenability? CO5

Q6 Give two different methods of obtaining a spherodised cementite structure. CO5

Q7 What are the principle advantages of austempering compared with conventional quech and temper?

CO5

Q8 What are the limitations on the use of using high carburising temperatures? CO5

Q9 What are the advantages of gas carburizing over pack carburizing? CO5

Q10 Explain why mild steel requires carburizing before hardening. (May-2012, May-2013)

CO5

Q11 Explain the mechanism of precipitation hardening. (Nov-2005, May-2005, Nov-2009, Nov-2011, May-2011, Nov-2012, May-2012, May-2013)

CO5

Q12 Explain the process of liquid carburizing. How is it more advantageous than solid carburizing?

CO5

Q13 What are the various purposes of annealing ? Enlist the different types of annealing.

CO5

Q14 Differentiate between Annealing and Normalizing. (Nov-2012, May-2012, May-2013)

CO5

Q15 Sketch and explain setup for flame hardening. (Nov-2005, Nov-2009, May-2011, May-2013)

CO5

Q16 Draw self explanatory diagram of- Annealing, normalizing and hardening bands on Iron Carbon diagram. (Nov-2005, Nov-2012, May-2012, May-2013)

CO5

Q17 Write a short note on austempering and martempering. (May-2011, Nov-2012, May-2013)

CO5

Q18 Differentiate between conventional hardening and induction hardening. (May-2005, Nov-2011, May-2011, May-2012, May-2013)

CO5

Unit No 6 Unit Title Powder Metallurgy Planned

Hrs.

04

Unit Outcomes


UO1 Define and describe the significance of powder metallurgy. CO6

UO2 Explain the powder manufacturing processes and its types. CO6

UO3 Explain the sintering process CO6

UO4 Describe the flow charts for manufacturing for tool materials, bearing, bushes, etc.

CO6

Lesson schedule

Class

No.


1 Powder metallurgy processes- preparation of metal powders, characteristics of metal powders,

2 Mixing, compacting, sintering, hot pressing,

3 Applications of powder metallurgy,

4 flow charts of powder metallurgy products,

Review Questions

Q1 Why is particle size distribution important in the packing of powders? CO6

Q2 Discuss the importance of particle shape on the properties of sintered compacts. CO6

Q3 List the three common methods of powder production and discuss their influences on the properties of the final product.(May-2005, Nov-2009, Nov-2011, Nov-2012, May-2012, May-2013)

CO6

Q4 Contrast mechanical and hydraulic compacting presses with regard to advantages, disadvantages and applications. (May-2005, Nov-2011, May-2011, May-2012, May-2013)

CO6

Q5 Write a short note on sintering and explain why is sintering carried out in controlled atmosphere furnace ?(Nov-2005, Nov-2009, Nov-2011, May-2011, Nov-2012, May-2012, May-2013)

CO6

Q6 Why do elevated temperatures tend to favor the sintering process although sintering forces tend to decrease with increasing temperatures?

CO6

Q7 What are the advantages and disadvantages of hot pressing as compared with cold pressing and sintering? (Nov-2009, Nov-2011, May-2012, May-2013)

CO6

Q8 Draw a flow chart for manufacturing of electrical contacts. (May-2005, Nov-2009, May-2011,May-2012, May-2013)

CO6

Q9 Draw a flow chart for manufacturing of sintered bushes. (May-2011, Nov-2012, May-2012, May-2013)

CO6

Q10 Give three specific applications of powder metallurgy parts. Describe how these

parts may be manufactured by other methods, and give the advantages of the

powder metallurgy method. (Nov-2005, May-2005, Nov-2009, Nov-2011, May-

2011, Nov-2012, May-2012, May-2013)

CO6


Course Title : Metallurgy

Duration Max.

Marks

1 ½ Hrs Instructions: 1. Attempt any three questions. 50

2. Figures to right indicates full marks

3.Draw neat sketch wherever necessary

Section-I

Marks

1 a What is a TTT diagram? What is its significance and use? Explain the experiment and procedure of drawing TTT diagram for an eutectoid steel.

09

b What is the significance of CCR in TTT diagram? 03

c Explain the mechanism of transformation of austenite into pearlite 06

2 a What are the various purposes of annealing? Enlist the different types of annealing.

08

b What are the factors influencing selection of bath used for quenching? 04

c Explain the steps and structural transformations that take place during precipitation hardening.

04

Section-II

Marks

1 a What is the importance of controlled atmospheres? Explain chemistry and applications of endothermic type controlled atmosphere,

05

b Enlist the various advantages of powder metallurgy. 06

c Draw a neat sketch and explain the working of salt bath furnace. 05

2 Write short notes on any four of the following.

a) Normalizing

b) Nitriding

c) Sintering

d) CCT diagrams

e) Spherodizing

f) Martensite transformation

16

Assignments


Assignment No. 1

Assignment Title Metals and Alloy Systems CO1

Batch I 1. Sketch and explain BCC, FCC and HCP structures with example. 2. Explain with diagram- Gibbs phase rule and Lever arm principle. 3. Explain Non equilibrium cooling.

Batch II 1. Write a short note on crystal imperfections. 2. Explain how the equilibrium diagram can be constructed from cooling curve? 3. Explain why pure metals show under cooling during solidification using phase rule

Batch III 1. Differentiate between crystal, dendrite and grain. 2. Write a short note on Partial Eutectic system. 3. Differentiate between Eutectic, eutectoid and perictic reaction.

Batch IV 1. What is solid solution? What are the types of solid solution? Enumerate the conditions for their formation [with diagrams] 2. Explain the alloy formation by crystallization, nucleation, solidification and growth. 3. Explain dendritic structure and coring.

Assignment No. 2

Assignment Title Study of Phase Diagrams: CO2

Batch I 1. Sketch and explain cooling curve for pure iron. 2. Sketch and explain Iron-Iron Carbon diagram. 3. Explain Carbon solubility in iron. 4. Explain aluminum alloys with their properties and application.

Batch II 1. Explain the significance of critical temperature lines. 2. Classify Steels in accordance with chemical composition. Properties and application. 3. What is slow cooling of steel? 4. Write a short note on babbits.

Batch III 1. Write a short note on stainless steel. 2. Explain the effect of alloying elements on properties of steel. 3. Explain the types of tool steel, their properties and applications. 4. Explain types of bronzes, their properties and applications.

Batch IV 1. Classify cast iron in accordance with chemical composition. Properties and application. 2. What are the limitations on the use of Iron-Iron carbon diagram? 3. Explain types of brasses, their properties and applications. 4. Define and explain following structures- Austenite, Ferrite, Pearlite, Cementite, Lediburite.

Assignment No. 3

Assignment Title Principles of Mechanical Testing CO3

Batch I 1. Explain the significance of metallurgical testing. 2. Explain the terms- proportional limit, elastic limit, yield point, yield strength, ultimate strength, modulus of elasticity. 3. Sketch and explain Impact test with test specimen. 4. Sketch and explain brinell hardness test.

Batch II 1. Differentiate between resilience and toughness.

2. Sketch and explain magnetic particle inspection. 3. What are the recent developments in non destructive testing? 4. Explain fatigue testing method with neat diagram.

Batch III 1. What is the difference between engineering stress-strain curve and true stress-strain curve. 2. Sketch and explain ultrasonic inspection test. 3. Explain Rockwell hardness testing method with neat diagram. 4. Write a short note on creep test.

Batch IV 1. What are the limitations of Magnetic particle inspection and ultrasonic inspection? 2. Explain radiography of metals. 3. Write a short note on tensile testing method. 4. Write a short note on fluorescent penetrant test.

Assignment No. 4

Assignment Title Principles of Heat Treatment CO4

Batch I 1. Describe completely the changes that take place during the slow cooling of a 0.5% carbon steel from austenitic range. 2. Describe how a TTT diagram is determined experimentally. 3. Write a short note on CCT diagrams. 4. Explain pearlite to austenite transformation.

Batch II 1. What is the effect of increasing cooling rate on – a) temperature of austenite transformation, b) fineness of pearlite, c) amount of proeutectoid constituent?

2. What are the limitations on the use of TTT diagram?

3. Explain the mechanism of transformation of austenite into bainite. How does the transformation of upper and lower bainite differ from each other?

4. What are solid state transformations in metals and alloys? Explain any one transformation in detail.

Batch III 1. Define critical cooling rate.

2. Sketch and explain TTT diagram for 0.8% carbon steel and indicate the cooling rates you would suggest for annealing, normalizing and hardening.

3. What is the effect and significance of alloying elements on TTT diagrams?

4. Sketch and explain TTT diagram for 0.2% carbon steel.

Batch IV 1. What factors influence the critical cooling rate ? 2. Compare between pearlitic and bainitic transformation. 3. Differentiate between CCT diagram and TTT diagram. 4. Write a short on quenching mechanism.

Assignment No. 5

Assignment Title Heat Treatment Processes CO5

Batch I 1. Why do annealed steel show a decrease in tensile strength above 0.8% carbon? 2. What are the principle advantages of austempering compared with conventional quech and temper? 3. Explain the mechanism of precipitation hardening. 4. Sketch and explain setup for flame hardening.

Batch II 1. Why do normalized steel show an increase in tensile strength upto 1.2 % and then a decrease? 2. What are the limitations on the use of using high carburising temperatures? 3. Explain the process of liquid carburizing. How is it more advantageous than solid carburizing? 4. Draw self explanatory diagram of- Annealing, normalizing and hardening bands on Iron Carbon diagram.

Batch III 1. Explain why the surface hardness of quenched high carbon steel may be less than the hardness under the surface. 2. What are the advantages of gas carburizing over pack carburizing? 3. What are the various purposes of annealing ? Enlist the different types of annealing. 4. Write a short note on austempering and martempering.

Batch IV 1. Give two different methods of obtaining a spherodised cementite structure. 2. Explain why mild steel requires carburizing before hardening. 3. Differentiate between Annealing and Normalizing. 4. Differentiate between conventional hardening and induction hardening.

Assignment No. 6

Assignment Title Powder Metallurgy CO6

Batch I 1. Why is particle size distribution important in the packing of powders? 2. Write a short note on sintering and explain why is sintering carried out in controlled atmosphere furnace ? 3. Draw a flow chart for manufacturing of sintered bushes.

Batch II 1. Discuss the importance of particle shape on the properties of sintered compacts. 2. Why do elevated temperatures tend to favor the sintering process although sintering forces tend to decrease with increasing temperatures? 3. Draw a flow chart for manufacturing of carbide tools.

Batch III 1. List the three common methods of powder production and discuss their influences on the properties of the final product.

2. What are the advantages and disadvantages of hot pressing as compared with cold pressing and sintering? 3. Draw a flow chart for manufacturing of electrical contacts.

Batch IV 1. Contrast mechanical and hydraulic compacting presses with regard to advantages, disadvantages and applications. 2. Draw a flow chart for manufacturing of electrical contacts. 3. Enlist the various advantages of powder metallurgy.

Course Plan

Course Fluid Mechanics Course Code

Examination

Scheme


Max. Marks 100 25 25 150

Contact

Hours/ week

3 2 -- 5

Prepared by Sabnis. N.V. Date 05/05/2014.

Prerequisites

Course Outcomes


CO1 Understanding of fluid mechanics fundamentals, including concepts of mass,

energy and momentum conservation.

CO2 An ability to apply equations of mass, energy and momentum to solve

problems in kinematics of fluid mechanics.

CO3 An ability to use dynamics of fluid flow theory to solve problems in fluid

mechanics.

CO4 Knowledge of dimensional analysis and model testing.

CO5 A knowledge of viscous flow and apply the equations of viscous flow to pipe

flow and flow between parallel plates, computation of head loss in pipe flow.

CO6 Knowledge of laminar and turbulent boundary layer fundamentals.

CO7 Knowledge of lift and drag, and compressible flow.

CO8 An ability to apply the concepts developed for fluid flow analysis to issues in

mechanical engineering design.

CO9 An exposure to recent developments in fluid mechanics.

Mapping of Cos with Pos

Pos Cos


CO1 ✔ ✔ ✔

CO2 ✔ ✔ ✔ ✔

CO3 ✔ ✔

CO4 ✔ ✔ ✔

CO5 ✔ ✔ ✔ ✔

CO6 ✔ ✔ ✔

CO7 ✔ ✔ ✔

CO8 ✔ ✔

CO9 ✔ ✔

Course Contents


Hours

Section I

1. Fluid Properties and Fluid Statics: A) Fluid Properties: Definition of fluid, Fluid as a continuum,

Properties of fluid, Viscosity, Types of fluid, Compressibility, Surface

tension, Capillarity and vapor pressure.

B) Fluid Statics: Pascal‟s law, Hydrostatic law of pressure, Total

Pressure, Centre of Pressure, Buoyancy, Meta centre, Condition of

Equilibrium of floating and submerged bodies (No Numerical

Treatment on fluid Statics)

07

2. Fluid Kinematics:

Eulerian and Langragian approach of fluid flow, Flow visualization,

Total or material derivative for velocity field, Types of flow,

06

Streamline, Path line, streak line, Stream tube, Continuity equation in

Cartesian coordinates in three dimensional form. Velocity and

Acceleration of fluid particles, Stream function and velocity potential

function.

3. Fluid Dynamics:

Equation of motion.Integration of Euler's equation as energy

equation.Energy correction factor, concept of HGL and THL or TEL,

Steady flow through orifice.Orificemeter, Time required to empty the

tank through an orifice at its bottom, Venturimeter, Flow over triangular

and rectangular notches, Pitot tube. Derivation of momentum equation,

momentum correction factor.Applications of momentum equation

08

4. Laminar Flow and Pipe Flow:

A) Laminar Flow: Laminar flow through circular pipes. Laminar flow

through parallel plates, Introduction to NavierStoke‟s equation and its

applications

B) Pipe Flow: Energy losses in transition, expansion and contraction

(Darcy‟s and Chezy‟s equation), Parallel pipe, Siphon pipes, Branching

pipes and equivalent pipes, Moody‟s Diagram.

.

07

5. Boundary Layer Theory and Dimensional Analysis, Similitude

A) Boundary Layer Theory: Boundary layer thickness, its

characteristics, laminar and turbulent boundary layers, separation,

boundary layer control

B) Dimensional Analysis, Similitude:Dimensionallyhomogeneous

equations, Buckingham's Pi-theorem, Calculation of dimensionless

parameters. Similitude, complete similarity, Model Scales

06

6. Forces On Immersed Bodies and Compressible Flow

A) Forces on Immersed Bodies: Lift and Drag, Drag on a flat plate and

on aerofoil. Types of drags, Development of lift. (Magnus effect)

stalling condition of aerofoil.

B) Compressible Flow: Propagation of elastic waves, Mach Cone and

Mach number. Energy equation

06

Reference Books:

Sr.

No.

Title of Book Author Publisher/Edition Units

1. Fluid Mechanics, K. L. Kumar S. Chand Publication.

New Delhi. 1,2,3,4,5,6

2. Fluid Mechanics , R. K. Bansal, Laxmi publications.

New Delhi.

1,2,3,4,5,6

3. Fluid Mechanics V. L. Streeter

and E. B. Wylie,

Tata McGraw Hill Pvt

Ltd. 1,2,3,4,5,6

4. Fluid mechanics and

Hydraulic Machines. Modi and Seth, 1,2,3,4,5,6

5 Introduction to Fluid

Mechanics

Edward J.

Shaughnessy, Jr, Oxford University press

1,2,3,4,5,6

Scheme of Marks


I-II

1 Fluid Properties and Fluid Statics

2 Fluid Kinematics

3 Fluid Dynamics

4 Laminar Flow and Pipe Flow

5 Boundary Layer Theory and Dimensional Analysis,

Similitude

6 Forces On Immersed Bodies and Compressible Flow

Course Unitization

Section

Unit Course

Outcomes

No. of Questions in


I

1 Fluid Properties and Fluid

Statics CO1 Q. No. 1,3

2 Fluid Kinematics CO2 Q. No. 2,3

3 Fluid Dynamics CO3 Q. No. 1,3

5 Laminar Flow and Pipe

Flow CO4 Q. No. 2,3


Section I

Unit No 1 Unit Title Fluid Properties and Fluid Statics: Planne

d Hrs.

07

Unit Outcomes


UO1 To understand the concept of fluid , its properties & Viscosity and fluid

statics

CO1

UO2 To study various types of fluids , and the parameters related to it CO2

Lesson schedule

Class

No.


1 Definition of fluid, Fluid as a continuum, Properties of fluid,

2 Viscosity, Types of fluid, Compressibility, Surface tension

3 Capillarity and vapor pressure. Pascal‟s law, Hydrostatic law of pressure

4 Total Pressure, Centre of Pressure, Buoyancy

5 Meta centre, Condition of Equilibrium of floating and submerged bodies

6 Problems on the topic

7 Problems on the topic

Review Questions

Q1 Define Fluid and list the various properties of Fluid CO1

Q2 Define Capillarity, surface tension and explain types of fluid, CO1

Q3 Define the Total pressure, centre of pressure and Buoyancy CO1

Unit No 2 Unit Title Fluid Kinematics Planne

d Hrs.

06

Unit Outcomes


UO1 To understand the concept of Flow Visualization , Types of Flow CO2

UO2 To find Velocity and Acceleration of fluid particles . CO2

UO3 To study the continuity equation CO2

Lesson schedule

Class

No.


1 Eulerian and Langragian approach of fluid flow, Flow visualization,

2 Total or material derivative for velocity field, Types of flow,

3 Streamline, Path line, streak line, Stream tube,

4 Continuity equation in Cartesian coordinates in three dimensional form..

5 Velocity and Acceleration of fluid particles, Stream function and velocity potential

function

6 Problems

Review Questions

Q1 Explain the concept of types of fluid flow CO2

Q2 Expalin stream line, path line , streak line , stream tube CO2

Unit No 3 Unit Title Fluid Dynamics

Planne

d Hrs.

08

Unit Outcomes


UO1 To study Euler’s Equation and Bernoulli’s Equation. CO3

UO2 To understand Venturimeter & Orificemeter. CO3

UO3 To understand flow over notches CO3

UO4 To get idea about momentum equation CO3

Lesson schedule

Class

No.


1 Equation of motion. Integration of Euler's equation as energy equation.

2 Energy correction factor, concept of HGL and THL or TEL

3 Steady flow through orifice. Orificemeter

4 Time required to empty the tank through an orifice at its bottom, Venturimeter,

5 Flow over triangular and rectangular notches, Pitot tube.

6 Derivation of momentum equation, momentum correction factor. Applications of

momentum equation.

7 Problems

8 Problems

Review Questions

Q1 Derive Euler’s Equation and from that derive Bernoulli’s Euation CO3

Q2 Derive the equation for flow through Orifice and Venturimeter CO3

Q3 Derive the equation for Time required to empty the tank through an orifice

at its bottom

CO3

Q4 Derivation of momentum equation CO4

Unit No 4 Unit Title Laminar Flow and Pipe Flow

Planne

d Hrs.

07

Unit Outcomes


UO1 To understand the concept of laminar flow through various pipes

To study Navier Stoke’s Equation

CO4

UO2 To study the energy losses in transition CO5

UO3 To determine Darcy’s & Chezy’s Equation CO4

UO4 To understand the concept of a siphon pipe CO4

Lesson schedule

Class

No.


1 Laminar flow through circular pipes.

2 Laminar flow through parallel plates, Introduction to NavierStoke‟s equation and its

applications

3 Energy losses in transition, expansion and contraction (Darcy‟s and Chezy‟s equation),

4 Parallel pipe, Siphon pipes

5 Branching pipes and equivalent pipes

6 Moody‟s Diagram.

7 Problems

Review Questions

Q1 Derive the equation for stress distribution and velocity distribution in flow CO5

through circular pipes.

Q2 Derive the equation for stress distribution and velocity distribution i flow

through parallel plates.

CO5

Q3 Explain Energy losses in transition, expansion and contraction ,Darcy‟s

and Chezy‟s equation

CO5

Unit No 5 Unit Title Boundary Layer Theory and Dimensional

Analysis, Similitude Planne

d Hrs.

06

Unit Outcomes


UO1 To understand the concept of Boundary Layer CO6

UO2 To understand its various characteristics CO7

UO3 To understand Dimensional Homogeneous equations, Buckingham’s π

theorem and the concept of Similitude

CO7

Lesson schedule

Class

No.


1 Boundary layer thickness, its characteristics

2 Laminar and turbulent boundary layers, separation, boundary layer control

3 Dimensionally homogeneous equations, Buckingham's Pi-theorem

4 Calculation of dimensionless parameters.

5 Similitude, complete similarity, Model Scales.

6 Problems

Review Questions

Q1 Write a short note on Boundary layer thickness, its characteristics CO6

Q2 Explain Dimensionally homogeneous equations, Buckingham's Pi-theorem CO7

Unit No 6 Unit Title Forces On Immersed Bodies and

Compressible Flow

Planne

d Hrs.

06

Unit Outcomes


UO1 To study the types of drags on flat and the drag on an aerofoil CO8

UO2 To understand concept of development of lift CO8

UO3 To determine energy equation of compressible flows

Lesson schedule

Class

No.


1 Lift and Drag, Drag on a flat plate and on aerofoil.

2 Types of drags, Development of lift. (Magnus effect) stalling condition of aerofoil.

3 Propagation of elastic waves, Mach Cone and Mach number.

4 Energy equation of compressible flows.

5 Stagnation pressure, Temperature and density.

6 Problems

Review Questions

Q1 Explain the concept of Lift and Drag, and the drag on a flat plate and on

aerofoil.

CO6

Q2 Explain the energy equation in the compressible flow CO6


1 Study and demonstration of Pressure Measuring Devices CO1

2 Flow visualization by plotting of streamline (Heleshaw‟s apparatus). CO2

3 Reynolds experiment. CO3

4 Verification of Bernoulli's equation. CO3

5 Calibration of venturimeter/Orifice-meter

6 Calibration of notches.

7 Orifice under steady and unsteady flow condition

8 Determination of velocity profile through circular pipes for laminar flow.

9 Determination of minor losses in pips-fittings

10 Determination of coefficient of friction in pipes of different materials.

11 Determination of loss of friction in series/parallel pipes.

12 Demonstration or trial on wind tunnel for measurement of lift and drag on any

model.

Laboratory Plan

Course Machine Drawing Course Code

Examination

Scheme


Max. Marks - 25 -- 25

Contact

Hours/ week

- 2 -- 2

Prepared by Mrs.Prajakta Patil. Date 02/05/2014

Prerequisites The student should have adequate knowledge of engineering graphics. He should

be well known of graphics and its application.

Course Outcomes


CO1 Use BIS convections in machine drawings.

CO2 Find line/curve of intersection between two solids.

CO3 Sketch the various machine components.

CO4 Read and interrupt the given production drawings

CO5 Understand significance of assembly and detail drawings.

Reference Books:


1 IS: SP46 – Engineering drawing

practice for schools and

colleges,B.I.S. Publications.

Text Books:

Sr.

No.

Title of Book Author Publisher/Edition Units

1 Machine Drawing P.S.Gill S.K.Kataria and

Sons,Delhi.

2 Machine Drawing N.D.bhatt Charotor

Publications

House,Bombay.

3 Machine Drawing R.K.Dhawan S.Chand and

company

4 Production Drawing Narayana,Kannaiah,Venkatreddv New age

international

5 Machine Drawing N.D.Junnarkar 1st print pearson

education.

Assignments


Assignment No. 1

Assignment Title Sheet based on BIS convections. CO1

Batch I BIS representation of engineering material.

Batch II BIS representation of Common features.

Batch III Symbolic representation of welds.

Batch IV BIS convection for sectioning, threads profile, types of threads.

Assignment No. 2

Assignment Title Sheet based sketching of various machine components. CO2

Batch I Sheet based on sketching of types of nuts.

Batch II Sheet based on sketching of types of bolts.

Batch III Sheet based on sketching of types of coupling.

Batch IV Sheet based on sketching of types of joints.

Assignment No. 3

Assignment Title Sheet based on limits, fits and tolerances. CO3

Batch I Definition, types, selection of surface finish symbols as per BIS.

Batch II Definition and types of tolerances.

Batch III Limit, fit and their selection and applications.

Batch IV Tolerancing an individual dimentions of detailed drawings.

Assignment No. 4

Assignment Title To draw details of given assembly drawings from given

assembly.

Batch I Machine tool parts – Tool post, tailstock etc

Batch II Engine parts – Stuffing box and piston and connecting rod etc.

Batch III Valve assembly, screw jack etc

Batch IV Jig and fixture, pipe vice etc.

Assignment No. 5

Assignment Title To draw a detail and assembly drawing by taking actual

measurement and entering Limits, fits, tolerances, surface

finish symbols, geometrical requirements etc.

CO5

Batch I Selection and entering of all limits, fit, tolerances with reference to

assembly drawings. Exersize-1

Batch II Selection and entering of all limits, fit, tolerances with reference to


Batch III Selection and entering of all limits, fit, tolerances with reference to


Batch IV Selection and entering of all limits, fit, tolerances with reference to


Assignment No. 6

Assignment Title Sheet based on auxiliary projections.

Batch I Exersize-1

Batch II Exersize-2

Batch III Exersize-3

Batch IV Exersize-4

Assignment No. 7

Assignment Title Sheet based on interpenetration of solids.

Batch I Exersize-1

Batch II Exersize-2

Batch III Exersize-3

Batch IV Exersize-4

Laboratory Plan

Course Computer Graphics Course Code

Examination

Scheme


Max. Marks - 25 -- 25

Contact

Hours/ week

- 2 -- 2

Prepared by Mr. V.G.Vasagade Date

Prerequisites 1. Brief Knowledge of Graphics

2. Machine Drawing

3. Basics of Computer Commands

Course Outcomes


CO1 Understand basic concepts of computer graphics

CO2 Understand graphic devices

CO3 Understand importance of Curves and Surfaces.

CO4 Do three dimensional transformations.

Reference Books:


01 Principles of Interactive Computer

Graphics

Newmanand

Sproull

Text Books:

Sr. No. Title of Book Author

1 C Graphics and Projects B M Havaldar

2 Computer Graphics Hearn and Baker

3 Computer Graphics for Scientists and Engineers By Asthana and Sinha

Assignments


Assignment No. 1

Assignment Title To study Basics of Computer Graphics & Graphic Devices CO1

Batch I To study Basics of Computer Graphics & Graphic Devices

Batch II To study Basics of Computer Graphics & Graphic Devices

Batch III To study Basics of Computer Graphics & Graphic Devices

Batch IV To study Basics of Computer Graphics & Graphic Devices

Assignment No. 2

Assignment Title To study C Graphics Basics & Simple Line Drawing Methods CO2

Batch I To study C Graphics Basics & Simple Line Drawing Methods

Batch II To study C Graphics Basics & Simple Line Drawing Methods

Batch III To study C Graphics Basics & Simple Line Drawing Methods

Batch IV To study C Graphics Basics & Simple Line Drawing Methods

Assignment No. 3

Assignment Title To study two Dimensional Transformations and Clipping and

Windowing

CO3

Batch I To study two Dimensional Transformations and Clipping and Windowing

Batch II To study two Dimensional Transformations and Clipping and Windowing

Batch III To study two Dimensional Transformations and Clipping and Windowing

Batch IV To study two Dimensional Transformations and Clipping and Windowing

Assignment No. 4

Assignment Title To study Event Handling And Input Functions CO4

Batch I To study Event Handling And Input Functions

Batch II To study Event Handling And Input Functions

Batch III To study Event Handling And Input Functions

Batch IV To study Event Handling And Input Functions

Assignment No. 5

Assignment Title To study Solid Area Scan Conversion, Curves and Surfaces &

Three Dimensional Transformations

CO5

Batch I To study Solid Area Scan Conversion

Batch II To study Solid Area Scan Conversion

Batch III To study Solid Area Scan Conversion

Batch IV To study Solid Area Scan Conversion

Assignment No. 6

Assignment Title To study Hidden Surface Removal. CO6`

Batch I To study Hidden Surface Removal.

Batch II To study Hidden Surface Removal.

Batch III To study Hidden Surface Removal.

Batch IV To study Hidden Surface Removal.

Experiment.1

Experiment Title To Develop at least 10 programs using C++. CO7

Batch I To Develop at least 10 programs using C++.

Batch II To Develop at least 10 programs using C++.

Batch III To Develop at least 10 programs using C++.

Batch IV To Develop at least 10 programs using C++.

Laboratory Plan

Course Computer Programming Using C++ Course Code

Examination

Scheme


Max. Marks - 25 -- 25

Contact

Hours/ week

- 2 -- 2

Prepared by Mr. Abhijit A. Patil Date

Prerequisites The student should have adequate knowledge of computer basics. He should be

well known of language C and its application.

Course Outcomes


CO1 Develop algorithms for solving problems using object oriented language.

CO2 Apply their knowledge and programming skills to solve various computing

problems in the field of Mechanical Engineering.

Reference Books:


1 Professional C++ Solterwiely

India

Text Books:


1 Object Oriented Programming E. Balguruswami. Tata McGraw

Hill Publication

2 Let us C++ YashwantKanitkar BPB Publication

3 C++ Programming 7th Edition Alstevanswiely

India.

4 Object oriented Programming

with C++

SouravSahay Oxford

University Press)

5 Object-Oriented Programming in

C++

Rajesh K Shukla Wiley India

Assignments


Assignment No. 1

Assignment Title Assignment based on Object-Oriented programming:

Introduction, Basic concepts, Benefits, Object-oriented

languages, Applications.

CO1

Batch I Application 1

Batch II Application 2

Batch III Application 3

Batch IV Application 4

Assignment No. 2

Assignment Title Minimum 1 program on Input / Output and arithmetic

expressions, Hierarchy of operators, branching and loop

control statements.

CO2

Batch I Program based on Input / Output arithmetic expressions 1

Batch II Program based on Input / Output arithmetic expressions 2

Batch III Program based on Input / Output arithmetic expressions 3

Batch IV Program based on Input / Output arithmetic expressions 4

Assignment No. 3

Assignment Title Classes and Objects: Introduction, structures and classes,

Declaration of class, Member functions; Defining the object

of a class; accessing a member of a class; Array of class

objects. Minimum three programs on Structure, Class and

Objects.

CO3

Batch I programs on Structure, Class and Objects 1

Batch II programs on Structure, Class and Object 2

Batch III programs on Structure, Class and Object 3

Batch IV programs on Structure, Class and Object 4

Assignment No. 4

Assignment Title Use of Pointers with Array and Function, Friend function.

Minimum 1 program on pointers with Arrays and Function.

CO4

Batch I Program on pointers with Arrays and Function 1

Batch II Program on pointers with Arrays and Function 2

Batch III Program on pointers with Arrays and Function 3

Batch IV Program on pointers with Arrays and Function 4

Assignment No. 5

Assignment Title Inheritance: Single Inheritance, Multilevel Inheritance,

Multiple Inheritance, Hybrid Inheritance, Hierarchical

Inheritance; Types of base classes: Direct, Indirect; Types

of derivation: Public, Private, Protected, Virtual base

classes. Minimum two programs on Inheritance.

CO5

Batch I Write a short note on Inheritance. Program on Inheritance

Batch II Explain Single Inheritance, Multilevel Inheritance, Multiple Inheritance,

Hybrid Inheritance, Hierarchical Inheritance. Program on Inheritance

Batch III Write a short note on Types of base classes. Program on Inheritance

Batch IV Write a short note on Types of derivation. Program on Inheritance

Assignment No. 6

Assignment Title Overloading: Function overloading with various data types,

Arguments; Operator overloading: Assignment operator;

Arithmetic and comparison operators. Minimum two

programs on Overloading.

CO6

Batch I Program on Overloading

Batch II Program on Overloading

Batch III Program on Overloading

Batch IV Program on Overloading

Assignment No. 7

Assignment Title Polymorphism: Virtual functions; Abstract Base Classes,

Constructor under Inheritance, Destructor under

CO7

Inheritance. Minimum two programs on Polymorphism.

Batch I Programs on Polymorphism.

Batch II Programs on Polymorphism.

Batch III Programs on Polymorphism.

Batch IV Programs on Polymorphism.

Course Plan

Course Workshop Practice-III Course Code

Examination

Scheme


Max. Marks -- 50 -- 50

Contact

Hours/ week

-- 2 -- 2

Prepared by S.S. Patil / P.M.Jadhav Date 13/5/2014

Prerequisites Basic knowledge of metal joining processes and metal removing processes

Course Outcomes


CO1 Understand types of patterns and Core boxes, Materials used, Pattern

Allowances.

CO2 Understand Permeability Test, Green Compressive strength, Preparation of

green sand mold.


POs

COs


CO1 √ √

CO2 √ √ √

Course Contents


Hours

1. Study of Patterns – Types, Materials used, Pattern Allowances,

Construction and color code

2

2. Study of Core boxes: Types, Allowances 2

3. Preparation of Pattern for solid casting 2

4. Sand testing for given sand and core sand

a. Size analysis. Grain fineness Number

b. Moisture percentage

c. Preparation of standard Specimen

d. Permeability Test

e. Green Compressive strength

6

f. Clay content

g. Preparation of green sand mold

h. Mold Hardness

5 Foundry visit to study pattern shop, sand making and molding. --

Reference Books:


1 Material science and

metallurgy

V D Kodgire Everest Publishers,

Puns

1-4

2 Elements of metallurgy Swroop and

Saxena

Rastogi Publications,

Meerut.

1-4

3 Principles of foundry

technology

P L Jain Tata McGraw-Hill,

New Delhi.

1-4

4 Foundry technology O. P. Khanna Khanna

Publishers,

New Delhi.

1-4

5 Production technology P. C. Sharma S. Chand and

Company Ltd

1-4

6 Fundamentals Of Modern

Manufacturing

M.P.Groover Wiley India Pvt.

Ltd.

1-4

Assignments


Assignment No. 1

Assignment Title Study of Patterns CO1

Batch I Assignment on Types, Materials, Pattern Allowances, Construction and

color code for different patterns

Batch II Assignment on Types, Materials, Pattern Allowances, Construction and


Batch III Assignment on Types, Materials, Pattern Allowances, Construction and


Batch IV Assignment on Types, Materials, Pattern Allowances, Construction and


Assignment No. 2

Assignment Title Study of Core boxes CO1

Batch I Assignment on Types of core boxes and different allowances

Batch II Assignment on Types of core boxes and different allowances

Batch III Assignment on Types of core boxes and different allowances

Batch IV Assignment on Types of core boxes and different allowances

Assignment No. 3

Assignment Title Preparation of Pattern for solid casting CO1

Batch I Assignment on Preparation of Pattern for solid casting

Batch II Assignment on Preparation of Pattern for solid casting

Batch III Assignment on Preparation of Pattern for solid casting

Batch IV Assignment on Preparation of Pattern for solid casting

Assignment No. 4

Assignment Title Sand testing for given sand and core sand CO2

Batch I Assignment on Sand testing for given sand and core sand for different

parameters

Batch II Assignment on Sand testing for given sand and core sand for different

parameters

Batch III Assignment on Sand testing for given sand and core sand for different

parameters

Batch IV Assignment on Sand testing for given sand and core sand for different

parameters

Assignment No. 5

Assignment Title Foundry visit to study pattern shop, sand making and

molding

CO1,

CO2

Batch I Visit Report on Foundry visit to study pattern shop, sand making and

molding

Batch II Visit Report on Foundry visit to study pattern shop, sand making and

molding

Batch III Visit Report on Foundry visit to study pattern shop, sand making and

molding

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Shivaji University, Kolhapur S.E. Mechanical Engineering … · · 2014-07-03D D y e2 2 1 1x Q 3...

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Transcript of Shivaji University, Kolhapur S.E. Mechanical Engineering … · · 2014-07-03D D y e2 2 1 1x Q 3...