Asymptotically exact value of the distribution function of molecular pairs in a shock-compressed highly dispersed gas mixture

Abstract

The aim of this work is to obtain asymptotically strong expressions for the distribution functions of pairs of molecules inside the shock wave front. An asymptotically exact expression is obtained for the distribution function of the pairs of molecules of the heavy component of a binary shock-compressed gas mixture at the beginning of its translational relaxation. This result is extremely important for experimental modeling of the effect of high-speed overshoot in shock tubes.