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Calculation of the Stream of Heat in the Problem on Couette’s Current with the Use of the Mirror-Diffusion Model of the Boundary Condition on the Channel Walls. Pp. 80–85.

Версия для печати

Section: Physics. Mathematics. Informatics

UDC

533.72

Authors

Lukashev Vyacheslav Valeryevich, Postgraduate Student of the Northern (Arctic) Federal University named after M.V. Lomonosov, Institute of Mathematics and Computer Sciences 

Popov Vasily Nikolaevich, Northern (Arctic) Federal University named after M.V. Lomonosov, Institute of Mathematics and Computer Sciences 

Yushkanov Alexander Alexeevich, Moscow State Regional University, Theoretical Physics Department

Abstract

Within the frame of the kinetic approach, the stream of heat in the problem on Couette’s current is calculated. As the basic equation we use BGK (Bhatnagar, Gross, Krook) model of Boltzmann kinetic equation, and as a boundary condition on the channel walls, the model of mirror-diffuse reflections. For arbitrary values of the channel thickness and accommodation coefficient of a tangential impulse of gas molecules by the channel walls, the stream of heat per unit of channel width is calculated. Comparison with the similar results received by other authors is maid.

Keywords

Boltzmann kinetic equation, modelling kinetic equations, exact analytical decisions, boundary conditions models.

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