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...

Extracted 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