Problems of interaction of a supersonic gas mixture with a wall solved by the projection method applied to the full Boltzmann equation

TL;DR

This paper presents a numerical method based on the projection technique for solving the full Boltzmann equation to analyze the interaction of a supersonic binary gas mixture with a wall, demonstrating good qualitative agreement with existing results.

Contribution

The paper extends the projection method to binary gas mixtures with cylindrical symmetry for solving the Boltzmann equation in non-steady supersonic flow problems.

Findings

Good qualitative agreement with previous studies for one-component gases

Effective application of the projection method to binary gas mixtures

Numerical results for supersonic inflow interactions

Abstract

Numerical solution of non-steady problems of supersonic inflow of a binary mixture of a rarefied gas on a normally posed wall with mirror and diffuse reflection laws is obtained on the basis of the kinetic Boltzmann equation for the model of hard sphere molecules. For calculation of collision integrals we apply the projection method, developed by Tcheremissine for a one-component gas and generalized by the author for a binary gas mixture in the case of cylindrical symmetry. We demonstrate a good qualitative agreement of our results with other authors for one-component gases.