16

2nd YEAR FLUIDS / COMPRESSIBLE FLOW

3

 

NOW FOR COMPRESSIBLE FLOW, CONSIDER A RESERVOIR, CONTAINING COMPRESSED GAS AT STAGNATION CONDITIONS O, PO AND TO, WHICH EXPANDS INTO AN INFINITE ATMOSPHERE OF PRESSURE PA, THROUGH A VARIABLE-AREA DUCT.

FROM EQUATIONS (3.17) AND (3.18) :



 

 

 

 

 


- THE REDUCTION IN IS CRUCIAL BECAUSE IT LEADS TO A MUCH GREATER ACCELERATION THAN WOULD OCCUR FOR A CONSTANT DENSITY FLOW.


- FROM CONTINUITY (3.25) :

 

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