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I would not dignify anything to do with "fluid dynamics" as *physics* which my schooling taught me dealt with topics to which some theoretical explanations can be applied.
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Since my background is, in part, in physics, I have to disagree, Chris. While it may "seem" that fluid dynamics is all empirical, there's good theoretical background as well. Look at Brownian motion, which is the basis for properties like fluid density, temperature and pressure. The calculations are numbing, to say the least, but the basis is there. Thankfully, the practical results can be expressed empirically, to a fair degree of accuracy, with much simpler calculations. Most of those calculations are distillations of some rather tedious partial differential equations.

Rick

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