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09/12/201009/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 11
CHAPTER (12)
COMPRESSIBLE FLOW
SOLVED PROBLEMS
09/12/201009/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 22
SUMMARY1. Speed of Sound:
S
pc
kRTc
⎟⎟⎠
⎞⎜⎜⎝
⎛∂∂
=
=
ρ2
(Adiabatic Process)
4. Total Pressure:
⎟⎠⎞
⎜⎝⎛ −+= 2
211 MkTTt
2. Mach Number:
Isentropic Process (Adiabatic reversible)
3. Total Temperature:
5. Total Density:
09/12/201009/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 33
5. Kinetic Pressure:
6. Static Pressure Ratio across A Normal Shock Waves:
8. Mach Numbers Upstream & Downstream of a Normal Shock Waves:
7. Static Temperature Ratio across A Normal Shock Waves:
8. Mach Numbers Downstream of a Normal Shock Waves:
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9. Area Ratio in a Laval Nozzle:
10. Mass Flow Rate Through a Laval Nozzle:
11.
12. Critical Pressure Ratio :
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14. Variation of Mach No. with Pressure along a Pipe with Friction:
13. Mach No. Distribution along a Pipe with Friction
15. Mach No. Distribution along a Pipe with Friction for Isothermal:
16. Variation of Mach No. with Pressure for Isothermal Process :
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Problem (12.4)
Table (A-2),
Appendix (II)
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Problem (12.5)
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Problem (12.7)
CTGiven o30: 1 =
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Problem (12.7)
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Problem (12.12)
⎟⎠⎞
⎜⎝⎛ −+= 2
211 MkTTt
smVkPaPCTGiven
S
S
25020020:
=== o
09/12/201009/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 1111
Problem (12.16)
FlowIsentropicsmVcmdkPaPCTGiven tt
250250020
====
,,: o
2
21Vhht += TCh P=
09/12/201009/12/2010 Dr. Munzer Ebaid Dr. Munzer Ebaid 1212
Problem (12.16)
12
211
−
⎟⎠⎞
⎜⎝⎛ −+=
KK
t MkPP
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Problem (12.23)
31 =M kPaPCTUpstreamGiven
S
S
10020:
== o
Methane
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Problem (12.23)
CT o201 =
kPaP 1001 =
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Problem (12.28)
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Problem (12.36)
skgmCT
kPaPGiven
t
t
b
5550
30
==
==
&
o
:
Nitrogen
MPaP 1
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THE END