Geodesic
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
Matematičeskoe modelirovanie, Tome 25 (2013) no. 2, pp. 111-124

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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. 
@article{MM_2013_25_2_a8,
     author = {V. V. Lukashev and V. N. Popov and A. A. Yushkanov},
     title = {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},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {111--124},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_2_a8/}
}
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V. V. Lukashev; V. N. Popov; A. A. Yushkanov. 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. Matematičeskoe modelirovanie, Tome 25 (2013) no. 2, pp. 111-124. http://geodesic.mathdoc.fr/item/MM_2013_25_2_a8/