Wednesday, 9 October 2019

fluid dynamics - What determines the dominant pressure-flow relationship for a gas across a flow restriction?


If one measures the pressure drop across any gas flow restriction you can generally fit the relationship to ΔP=K2Q2+K1Q

where ΔP is the pressure drop and Q is the volumetric flow


and what I've observed is that if the restriction is orifice-like, K2>>K1 and if the restriction is somewhat more of a complex, tortuous path, K1>>K2 and K2 tends towards zero.


I get that the Bernoulli equation will dominate when velocities are large and so the square relationship component. But what's determining the K1 component behavior? Is this due to viscosity effrects becoming dominant? Does the Pouiselle relationship become dominant?





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