Solved problems 1(control volume)

12
08/12/2010 08/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 1 1 SOLVED PROBLEMS CONTROL VOLUME APPROACH CHAPTER (5)

Transcript of Solved problems 1(control volume)

Page 1: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 11

SOLVED PROBLEMS

CONTROL VOLUME APPROACH

CHAPTER (5)

Page 2: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 22

CONTROL VOLUME APPROACH

3. Continuity equation outincv mm

dtdM

&& −=

Volume Flow Rate Mass Flow Rate

1. Velocity is constant:

2. Velocity is variable:

AVQ =& AVQm ρρ == &&

∫=A

VdAQ& QVdAVdAmAA

&& ρρρ === ∫∫

5. The extensive property is defined as )(B

6. The intensive property ⎟⎠⎞

⎜⎝⎛ =

massBb

21 )()( AVAV ρρ =21 mm && =4. Continuity equation in a pipe

Page 3: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 33

CONTROL VOLUME APPROACH

0=∂∂

+∂∂

+∂∂

zw

yv

xu10. Differential form of continuity equation

21

0

21 V

pp V

ρσ

−=9. Cavitation index

7. Reynolds transport theorem( in general) ∫∫ •+=cscv

sys dAVbdQbdtd

dtdB

ρρ

8. Reynolds transport theorem( for mass) ∫∫ •+=CSCV

sys dAVdVdtd

dtdM

ρρ

Page 4: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 44

CONTROL VOLUME APPROACH

Page 5: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 55

CONTROL VOLUME APPROACH

Page 6: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 66

Page 7: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 77

Page 8: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 88

Page 9: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 99

Problem 5.55(p. 176)

Mixture

Page 10: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 1010

Problem 5.75(p. 181)

Table (5)Throat

Page 11: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 1111

Page 12: Solved problems  1(control volume)

08/12/201008/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 1212

CONTROL VOLUME APPROACH

THE END