a) Derive an expression for a relation between pressure and area changes in one- dimensional, steady and isentropic flow dp kM2 dA - M² ) A b) Derive an expression for a relation of pressure change across the normal shock wave (1+ kM}) (1 + kMŽ) P2 %3D P1 c) Prove mathematically that shock wave cannot occur in subsonic flow

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.9P: When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the...
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a) Derive an expression for a relation between pressure and area changes in one-
dimensional, steady and isentropic flow
dp
kM?
dA
1– M² ) A
b) Derive an expression for a relation of pressure change across the normal shock wave
(1 + kM?)
(1+ kMŽ)
P2
P1
c) Prove mathematically that shock wave cannot occur in subsonic flow
Transcribed Image Text:a) Derive an expression for a relation between pressure and area changes in one- dimensional, steady and isentropic flow dp kM? dA 1– M² ) A b) Derive an expression for a relation of pressure change across the normal shock wave (1 + kM?) (1+ kMŽ) P2 P1 c) Prove mathematically that shock wave cannot occur in subsonic flow
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