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I saw at one time that if the kinetic energy/potential energy of the gas was approaching 1 then the gas is becoming a liquid. I can't find the reference where I found that though (it was on stack overflow).

I guess in general I'm interested if you can track from solving the NSE numerically when you are transitioning from a gas phase to liquid?

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You must mean this question; Potential vs Kinetic Energy of Particles in Gas

This is very interesting approach. The ratio of Kinetic energy (inertia) and Potential energy (field) is commonly named as a Froude-number. And indeed you can solve NSE numerically to get this transition. I have actually made this derivation. Basically it shows you that the limit is $Fr=\sqrt3$. This Q&A is related; How should energy loss in a hydraulic jump be calculated?

And the full derivation can be found here;
https://www.researchgate.net/publication/325677372_Navier-Stokes_existency_and_smoothness_problem_-The_Answer_word-txt

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  • $\begingroup$ Thank you for the response- very interesting indeed I will look deeper. $\endgroup$ – Vogtster Apr 19 at 21:07

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