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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2013 Volume 25, Number 2, Pages 111–124 (Mi mm3335)

This article is cited in 1 paper

Modelling of transport processes in problem of Couette flow at incomplete accommodation of a tangential impulse of gas molecules by the walls of the channel

V. V. Lukasheva, V. N. Popova, A. A. Yushkanovb

a North (Arctic) Federal University, Arkhangelsk, Russia
b Moscow State Regional University, Moscow, Russia

Abstract: On the example of a problem about Couette current the analytical method of calculation by the applying simple numerical procedure of macro parameters of gas in channels which thickness is commensurable with average length of free run of molecules of gas is offered. As the basic equation it is used linearize BGK (Bhatnagar, Gross, Krook) model of the Boltzmann kinetic equation, and as a boundary condition on walls of the channel — the model mirror-diffuse reflections. For various values of thickness of the channel and factor of accommodation of a tangential impulse of molecules of gas walls of the channel structures of mass speed of gas in the channel are constructed and values distinct from zero components of the tenzor of viscous pressure and a stream of weight of the gas falling unit of width of the channel are calculated. Comparison with the similar results published in an open press is lead.

Keywords: Boltzmann kinetic equation, the model kinetic equations, exact analytical decisions, models of boundary conditions.

UDC: 533.72

Received: 25.10.2011


 English version:
Mathematical Models and Computer Simulations, 2013, 5:5, 439–447

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