Maxwell problem about thermal sliding of rarefied gas along plate plane

TL;DR

This paper investigates the classical thermal sliding problem of a rarefied gas along a flat surface using the BGK model and Maxwell boundary conditions, applying a generalized source method and comparing results with previous studies.

Contribution

It introduces a generalized source method to solve the thermal sliding problem with Maxwell boundary conditions in the kinetic theory context.

Findings

Results align with earlier findings on thermal sliding velocities.

The method provides a new approach to boundary problems in kinetic theory.

Comparison shows consistency with established models.

Abstract

One of classical boundary problems of the kinetic theory (a problem about thermal sliding) of the rarefied gas along a flat firm surface is considered. Kinetic Boltzmann equation with model integral of collisions BGK (Bhatnagar, Gross, Krook) is used. As boundary conditions the boundary Maxwell conditions (mirror-diffuse) are used. The generalized method of a source is applied to the problem decision. Comparison with earlier received results is spent.