Influence of approximation form of momentum exchange coefficients on a surface on rarefied gas flow instability character in a channel

Abstract

Numerical and analytical results are compared concerning the limit properties of the trajectories, attractors and bifurcations of rarefied gas flows in channels. The results are obtained not only by different parameter values, but also by different local interaction approximation models for gas-surface interaction. The results as well for the models suggested originally by R. N. Miroshin, as for considered for the first time or for studied in our subsequent papers approximations are compared. Gas-surface interaction on channel walls is described by the ray model generalizing specular reflection. The advantages and the drawbacks of considered approximations are detected and the features of obtained solutions are indicated and the recommendations are given for applying the results in practical applications and in numerical calculations of rarefied gas flows.

Keywords:

unstable rarefied gas flow, gas-surface interaction, gas atoms scattering from the walls of a channel