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Air flow between tanks

Master Ott
in Homework Help

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I'm looking for an equation to find pressure as a function of time in a 10 cubic inch tank being filled from a 120 psi source through a valve with flow coeficient Cv=0.28, and a 2.5mm orifice size.

I think that ultimately the answer comes from Navier Stokes equation, but I'm hoping someone can help me find a simplification that will work for my problem.

Suggestions appreciated!

 

P.S. I need to account for compressibility, and viscous flow

Edited by Master Ott

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