Analytic solution of the Kramers problem
S. V. Gulakova1, V. N. Popov2
| Annotation | In the framework of kinetic approach the analytic solution (in the form of a series Neumann) of the problem of isothermal slip gas along a hard, flat surface (Kramers's problem) is built. The linearized BGK (Bhatnagar, Gross, Krook) model of Boltzmann's kinetic equation as the main equation and the model of mirror-diffuse reflection as boundary conditions on the surface are used. For different values of the coefficient of diffusely the speed of isothermal slip gas along the surface is calculated and the profiles of mass velocity are built. The comparison with similar results, published in the open press is done. |
|---|---|
| Keywords | Boltzmann kinetic equation, model kinetic equations, exact analytical decisions, models of boundary conditions |
1Post graduate student, Northern Arctic federal university named after M. V. Lomonosov, Arkhangelsk; s.gulakova@narfu.ru.
2Head of Mathematics Chair, Northern Arctic federal university named after M. V. Lomonosov, Arkhangelsk; v.popov@narfu.ru.
Citation: S. V. Gulakova , V. N. Popov , "[Analytic solution of the Kramers problem]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:2 (2014) 36–45 (In Russian)
