Analytic solution of a problem of Couette Flow
V.V. lukashev1, V.N. Popov2, A.A. Yushkanov3
| Annotation | On the example of a problem about Couette flow the method of calculation of macroparameters 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 the linearize BGK (Bhatnagar, Gross, Krook) model of Boltzmann kinetic equation, and as a boundary condition on walls of the channel - the model of mirror- diffusion reflections. For various values of thickness of the channel and factor of accommodation of a tangential impulse of molecules of gas by the walls of the channel values of streams of weight of gas and heat falling unit of width of the channel are calculated. Comparison with the similar results published in an open press is lead. |
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| Keywords | Boltzmann kinetic equation, the modelling kinetic equations, exact analytical decisions, models of boundary conditions |
1Post graduate student, Northern Arctic federal university, Arkhangelsk; v.lukashev@narfu.ru.
2Head of Mathematics Chair, Northern Arctic federal university, Arkhangelsk; popov.vasily@pomorsu.ru.
3Professor of Theoretical Rhysics Chair, Moscow state regional university, Moscow; yushkanov@inbox.ru.
Citation: V.V. lukashev , V.N. Popov , A.A. Yushkanov , "[Analytic solution of a problem of Couette Flow]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:1 (2012) 72–82 (In Russian)
