Energy governing equation in terms of PRESSURE

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SUMMARY

The discussion focuses on deriving the energy governing equation for compressible flow in terms of pressure (p) from the total energy density (e) using the perfect gas assumption and constant viscosity. The user, Jo, seeks validation of their derivation and requests references for further study. The key takeaway is the importance of understanding the relationship between energy density and pressure in fluid dynamics, particularly in compressible flow scenarios.

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jollage
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Hi all,

I derived the energy equation for compressible flow in terms of pressure p from the governing equation in terms of the total energy density e (using the perfect gas assumption and assuming constant viscosity), but I am not sure if I did it correctly. I post it here, please tell me if it's right, or suggest me some useful references I could consult. Thanks a lot!

Jo
 

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Anyone could help me?
Thanks!

Jo
 

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