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Gas Molecular Speed Calculation: Understanding Knudsen Numbers in Fluid Dynamics

Learn how to calculate Knudsen numbers in global and local contexts for fluid dynamics applications. Discover the relationship between gas molecule speed and Knudsen numbers using formulas from kinetic theory. References provide in-depth insights.

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Gas Molecular Speed Calculation: Understanding Knudsen Numbers in Fluid Dynamics

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  1. Global Knudsen number calculation • Since c=sqrt(8/Pi*gamma)*a, average gas molecule speed • From kinetic theory, molecular mean free path is related to myu: • Myu = 0.499*rho*c*L • Cons: L/d = 1.49 M / Re=Kn (global) • Ref: Journal of the Aeronautical Sciences, April 1951, pp259-270

  2. Local Kn number calculation • Density based local Kn number: • Kn = abs(grad(rho))*L/rho • Where rho – local density • Ref: Phys. Fluids & (1), Jan 1995

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