Formulas describing fluid viscosity/compress-ability

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Motorsports-X
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Sorry if this is to basic of a question. I'm trying to find a formula that will describe a viscous, but compressible fluid. This would just be a generic formula as a starting point. I'm trying to describe the variability of densities through this fluid. The closest thing I can find is a non Newtonian fluid, that decribes how stress in an area dissipates through the fluid. But this doesn't really fit what I'm trying to do since i need a "pressure" factor.
 
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You could start with the Wikipedia pages on the subject and the links there:
https://en.wikipedia.org/wiki/Viscosity
https://en.wikipedia.org/wiki/Volume_contraction

If they do not contain what you're looking for, then you get at least a couple of terms you can use for a Google search.

Here's what I've found as THE formula (see Summary):
https://link.springer.com/article/10.1007/BF02503005

or an entire book about it (Author's page, Richard Fitzpatrick, Austin TX):
http://farside.ph.utexas.edu/teaching/336L/Fluid.pdf
 
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