CHEE 3363Spring 2014Handout 18

�Reading: Fox 6.2--6.3

1

1.

�

2. �

3.

2

�

�

ρ

(

∂v

∂t+ u

∂v

∂x+ v

∂v

∂y+ w

∂v

∂z

)

= ρgy −

∂p

∂y

ρ

(

∂w

∂t+ u

∂w

∂x+ v

∂w

∂y+ w

∂w

∂z

)

= ρgz −

∂p

∂z

ρ

(

∂u

∂t+ u

∂u

∂x+ v

∂u

∂y+ w

∂u

∂z

)

= ρgx −

∂p

∂x

3

ρ

(

∂vθ

∂t+ vr

∂vθ

∂r+

vθ

r

∂vθ

∂θ+ vz

∂vθ

∂z+

vrvθ

r

)

= ρgθ −

1

r

∂p

∂θ

ρ

(

∂vr

∂t+ vr

∂vr

∂r+

vθ

r

∂vr

∂θ+ vz

∂vr

∂z+

v2

θ

r

)

= ρgr −

∂p

∂r

ρ

(

∂vz

dt+ vr

∂vz

∂r+

vθ

r

∂vz

∂θ+ vz

∂vz

∂z

)

= ρgz −

∂p

∂z

4

n

sβ

R(

p −

∂p

∂s

ds

2

)

dn dx

(

p +∂p

∂s

ds

2

)

dn dx

(

p +∂p

∂n

dn

2

)

ds dx

(

p −

∂p

∂n

dn

2

)

ds dxx

y

z g

n �s

nd ds dn dx

dnds

5

as =Dv

Dt=

∂v

∂t+ v

∂v

∂s

6

3

7

nd ds dn dx

4

8

1

ds

��

��

9

2

10

11

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1

12

H = h1 =

(h2)

Given

�Find

2

13

H = h1 =

(h2)

Given

�Find

Static or thermodynamic pressure p �

�

�

Stagnation pressure�

�

Dynamic pressure14

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15

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16

1

17

Given2

�Find

2

18

Given2

�Find

1 2 3

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1. �

2. �

3. �

4.

4

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