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ISSN 2072-3172

№3 (22), 2012. MATHEMATICS AND SCIENCE

Lukashev V V, Popov V N, Yushkanov A A

Mathematical modelling of transport processes in flat channels in case of incomplete accommodation of a tangentialimpulse of molecules of gas by walls of the channel

On the example of a problem Poiseuille Flow the generalization of Case method on a case of problems with the limited geometry is offered. As the basic equation the BGK-model of Boltzmann kinetic equation, and as a boundary condition on walls of the channel - model mirror-diffuse reflections is used. The stream of weight ofthe gas, falling unit of width of the channel is calculated. Comparison with the similar results received by numerical methods is lead.

Keywords: Boltzmann kinetic equation, model kinetic equations.

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