ASYMPTOTIC APPROXIMATION FOR THE DISTRIBUTION OF PAIRS OF MOLECULES IN A SHOCK WAVE

Abstract

The aim of this work is to obtain asymptotically strict expressions for the distribution functions of pairs of molecules inside the front of a shock wave. Methodology. The work makes use of asymptomatic methods of theoretical physics, based on the selection of small parameters. Results. An asymptotically accurate expression is obtained for the distribution of pairs of heavy-component molecules of a binary shock of a compressed mixture of gases at the beginning of its progressive relaxation. Research implications. This result is extremely significant for experimental simulation of a high-speed impact effect in shock tubes.

Keywords

• kinetic equation
• nonequilibrium
• gas mixture
• shock wave