Flow with Heat Addition

When we add heat:

  M V p T r a h p0 T0 r0 a0 h0
M<1 ↑  M→ 1 ↑ ↓

↑ for M<g-0.5
↓ for M>g-0.5

   ↑for M<g-0.5
↓for M>g-0.5		 ↑for M<g-0.5
↓for M>g-0.5		 ↓ ↑   ↑ ↑
 

as q↑, s↑, more democracy!
perfect democracy when KE due to V = KE due to T, or when M=1.  This results in less interference between the particles.

Follows the changes in M

Always opposite to the variation in V just like in incompressible flow.  As the flow decelerates: conversion of KE to pressure E (or dynamic E) and vice versa, just like in a spring.

     Follows the variation in T Follows the variation in T (h=cpT) As T0↑ the gas expands. h02=h01+q

h0=cpT0

   Follows the variation in T0 h02=h01+q

h0=cpT0

 
M>1 ↓   M→ 1 ↓ ↑

↑

  

↑

↑

 ↓ ↑   ↑ ↑