№1 (24), 2013. MATHEMATICS AND SCIENCE

Popov V N, Yushkanov A A, Rudny D A

Mathematical modelling of process of carry of heat in the flat channel at small gradients of pressure

Within the limits of the kinetic approach the analytical decision of a problem on calculation of a stream of heat in the flat channel is constructed at small gradients of pressure. As the basic equation the ellipsoidal-statistical model of kinetic equation Boltzmann, and as a boundary condition - model diffuse reflections is used. As the appendix the stream of heat in the channel, falling unit of its width is calculated. Comparison with the similar results received by methods of direct numerical modelling is lead.

 

Keywords: Boltzmann kinetic equation, model kinetic equations.

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