09 February 2009

Compressible Navier-Stokes formulation for a perfect gas

It took me longer than I care to admit to track down and work through all the details/assumptions underneath the derivation of the conservative, compressible Navier-Stokes model for a perfect gas. This is on page two of every thesis I read, but is apparently such common knowledge that no one bothers to stick it in an appendix or give a good reference.

Compressible Navier-Stokes formulation for a perfect gas

Particularly interesting was tracking down data to confirm that air viscosity goes like temperature to a goofy power like 0.666, at least over a reasonable temperature range (e.g. 200K - 5000K).

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