Problem 13.4
[Difficulty: 2]
Given:
Data on flow in a passage
Find:
Pressure and Mach number at downstream location
Solution:
The given or available data is:
R
=
296.8
J/kg-K
k
=
1.4
p
1
=
450
kPa
M
1
=
0.7
A
1
=
0.15
m
2
A
2
=
0.45
m
2
Equations and Computations:
From
M
1
and
p
1
, and Eq. 13.7a
(using built-in function
Isenp
(
M
,
k
))
p
01
=
624
kPa
From
M
1
, and Eq. 13.7d
(using built-in function
IsenA
(
M
,
k
))
A
*
1
=
0.1371
m
2
For isentropic flow (
p
01
=
p
02,
A
*
2
=
A
*
1
)
p
02
=
624
kPa
A
*
2
=
0.1371
m
2
A
2
/A
*
2
=
3.2831
From
A
2
/
A
*
2
, and Eq. 13.7d
(using built-in function
IsenMsubfromA
(
M
,
k
))
Since there is no throat, the flow stays subsonic
M
2
=
0.1797
From
M
2
and
p
02
, and Eq. 13.7a
(using built-in function
Isenp
(
M
,
k
))
p
2
=
610
kPa

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