On one boundary model in problems of gas flow around solids

S. V. Polyakov ; V. O. Podryga

Matematičeskoe modelirovanie, Tome 36 (2024) no. 3, pp. 147-161

Résumé

This work is devoted to the development of a multiscale approach to calculating gas flows near solid surfaces taking into account microscopic effects. Within the framework of this line of research, the problem of setting boundary conditions on the surface of a solid body is considered, taking into account these effects, previously calculated at the atomic-molecular level. The main goal of the work is to formulate macroscopic boundary equations that take into account processes on the surface of a solid body flown around by gas. The macroscopic model is based on a system of quasi-gasdynamic (QGD) equations in the volume and the thermal conductivity equation in the surface layer of the body in a streamlined body. The system is supplemented with real gas state equations and dependences of the kinetic coefficients of the QGD equations on temperature and pressure, obtained on the basis of molecular dynamics calculations. To test the proposed boundary equations, the problem of gas flow around a blunt body is considered. Dry air was selected as the gas. Nickel was chosen as the body coating. Calculations were carried out for two values of inlet velocity. They confirmed the qualitative correctness of the developed boundary model and the entire modeling technology.

Détail

Keywords: gas flows near solids, multiscale approach, boundary model, numerical algorithms, parallel computing.
Mots-clés : quasi-gasdynamics