Rarefied gas flow rate in Poiseuille flow through a circular capillary. (English. Russian original) Zbl 1333.76067

Fluid Dyn. 50, No. 5, 711-720 (2015); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2015, No. 5, 130-140 (2015).
Summary: The gas flow rate in slow isothermal Poiseuille flow through an infinitely long capillary with circular cross-section is determined as a function of the rarefaction parameter (inverse Knudsen number). An asymptotic expansion of the flow rate in a small inverse Knudsen number is obtained on the basis of a linearized model kinetic BGK equation.


76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
Full Text: DOI


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