Dunno if I’m about to answer my own question here, but is it because the derivation of the Navier strokes equation assumes a “static” infinitely small particle for analysis? Which I assume wouldn’t be static if it is compressed hence wouldn’t be applicable? Or is there another reason?
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The generalized equation**s** are applicable to compressible fluids.
What you likely saw was a simplified form for incompressible fluids. Incompressible fluids will greatly simplify the equations.
The equations include terms like density which can be considered constant with pressure for incompressible fluids, but not for compressible fluids.
Compressible fluid flow gets complicated fast and tends to act in counterintuitive ways.
Many textbooks dealing with fluid flow or transport phenomena will cover incompressible fluids, but not necessarily compressible fluids. If my BSL wasn’t in a box, I would double check, but it has stayed in some box since I moved. I’m not sure I want to relive my transport phenomena course either…
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