10

2nd YEAR FLUIDS / COMPRESSIBLE FLOW

3

 

- FOR A PERFECT GAS :            h  =  CP T

- HENCE :                      CP TO = CP T + U2 / 2                                     (3.15)

 

TO IS CALLED THE STAGNATION TEMPERATURE. FROM 3.14, TO > T, INDICATING THAT STAGNATION LEADS TO WARMING OF A COMPRESSIBLE FLUID.

 

BY DIVIDING EQUATION (3.15) BY CPT :

                  

- SINCE           a2 = gRT      AND      CP = gR / ( g-1) :

               

- GIVEN THAT M = U / a

    (3.16)   

- FROM EQUATION (3.12) :

    (3.17)   


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