Pressure Changes Along Flow Experiencing Heat Transfer

[ccrook]

For an airflow experiencing a large heat transfer, say a delta of ~600 degrees celsius, I assume compressible effects cannot be ignored. I am struggling however with some conceptual elements, such as how the pressure gradient changes along the flow when compared with compressible and inviscid flow. Is there a technique for calculating both the change in flow rate and temperature at the exit given the rate of heat transfer and entry conditions of the flow?

 

[jack action]

Yes, it is called the Rayleigh flow.