The Solution of the Boltzmann Equation for a Shock Wave using a Restricted Variational Principle

Abstract

Using a variational method and the Mott‐Smith velocity distribution function, the thickness of a plane shock wave is calculated for various Mach numbers. The results compare fairly well with those obtained by Mott‐Smith. It is also shown that the Mott‐Smith distribution function becomes a better choice as the Mach number increases.