№4 (27), 2013. MATHEMATICS AND SCIENCE

S.V. Gulakova, V.N. Popov

Analytic solution of Williams equation in the Couette flow problem

An analytic solution to the problem of the Couette flow using the kinetic approach is constructed. As the basic equation it is used linearizeWilliams equation and as a boundary condition on walls of the channel — the model diffuse reflections. Structure of mass speed of gas and mass flux falling to the unit of channel width are calculated. The results are compared with analogous data obtained for unstructured one-nuclear gases.

 

Keywords: Boltzmann kinetic equation, model kinetic equations, Couette flow, exact analytic solution..

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