Problem 13.16
[Difficulty: 2]
Given:
Data on flow in a passage
Find:
Flow rate; area and pressure at downstream location; sketch passage shape
Solution:
The given or available data is:
R
=
286.9
J/kg.K
k
=
1.4
A
1
=
0.25
m
2
T
1
=
283
K
p
1
=
15
kPa
V
1
=
590
m/s
T
2
=
410
M
2
=
0.75
Equations and Computations:
From
T
1
and Eq. 12.18
(12.18)
c
1
=
337
m/s
Then
M
1
=
1.75
Because the flow decreases isentropically from supersonic to subsonic
the passage shape must be convergent-divergent
From
p
1
and
T
1
and the ideal gas equation
1
=
0.185
kg/m
3
The mass flow rate is
m
rate
=
1
A
1
V
1
m
rate

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