Problem 13.17
[Difficulty: 3]
Given:
Data on tank conditions; isentropic flow
Find:
Plot cross-section area and pressure distributions
Solution:
The given or available data is:
R
=
53.33
ft·lbf/lbm·
o
R
k
=
1.4
T
0
=
500
o
R
p
0
=
45
psia
p
e
=
14.7
psia
m
rate
=
2.25
lbm/s
Equations and Computations:
From
p
0
,
p
e
and Eq. 13.7a (using built-in function
IsenMfromp
(M,k))
(13.7a)
M
e
=
1.37
Because the exit flow is supersonic, the passage must be a CD nozzle
We need a scale for the area.
From
p
0
,
T
0
,
m
flow
, and Eq. 13.10c
(13.10c)
Then
A
t
=
A
* =
0.0146
ft
2
For each
M
, and
A
*, and Eq. 13.7d
(using built-in function
IsenA
(
M
,
k
)
(13.7d)
we can compute each area
A
.
From each
M
, and
p
0
, and Eq. 13.7a
(using built-in function
Isenp
(
M
,
k
)
we can compute each pressure
p
.

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