Pea - 1)/2]Mf) (b) From the continuity equation show that A1 M2 er/2)(M_M) Az M1 (c) By letting Mi be any Mach number and M2 1.0, write the expression Show that the section of minimum area occurs at M-1 VY

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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76. 5.21. (Optional) Consider the steady, one-dimensional flow of a perfect gas
through a horizontal system with no shaft work. No frictional losses are
involved, but area changes and heat transfer effects provide a flow at constant
temperature.
(a) Start with the pressure-energy equation and develop
P2
er/2)(M_M3
= e(y/2)(M_M)
P1
(1+[(y- 1)/2]M?
1+ [(y – 1)/2]M?,
(b) From the continuity equation show that
A M2 e(v/2)(M}_MỄ)
A2 M1
(c) By letting Mi be any Mach number and M2 1.0, write the expression for AlA.
Show that the section of minimum area occurs at M =1t Vĩ
Transcribed Image Text:76. 5.21. (Optional) Consider the steady, one-dimensional flow of a perfect gas through a horizontal system with no shaft work. No frictional losses are involved, but area changes and heat transfer effects provide a flow at constant temperature. (a) Start with the pressure-energy equation and develop P2 er/2)(M_M3 = e(y/2)(M_M) P1 (1+[(y- 1)/2]M? 1+ [(y – 1)/2]M?, (b) From the continuity equation show that A M2 e(v/2)(M}_MỄ) A2 M1 (c) By letting Mi be any Mach number and M2 1.0, write the expression for AlA. Show that the section of minimum area occurs at M =1t Vĩ
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