Student Handout 18 2014
19
6>1;+1, H7?; CHEE 3363 Spring 2014 Handout 18 Reading: Fox 6.2--6.3 1
Transcript of Student Handout 18 2014
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
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��
9
2
10
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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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�
�
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16
1
17
Given2
�Find
2
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Given2
�Find
1 2 3
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1. �
2. �
3. �
4.
4
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