Shock wave structure in a binary mixture of Broadwell discrete velocity gases (Q1102818)

We consider the shock wave profiles in a mixture of two Broadwell gases with different molecular masses \(m_ 1\) and \(m_ 2\). We solve the problem by use of a numerical solution scheme. Our choice of limit conditions correspond to the infinite Mach number shock wave. In this sense the model considered here is a generalization of the Broadwell's model of propagation of the shock wave in a one-component discrete velocity gas. Our method of solution results in a set of three ODE with two singular points which correspond to the downstream and upstream equilibrium states. Numerical solution of this set gives the density and temperature profiles of the components. An important feature of the method applied in this note is that it allows to find the shock profiles without the approximations present in other methods of obtaining the shock profiles in binary gas mixtures In this note our main objective is not to match experimental results; we are rather concerned with the question, how the profiles of the infinite Mach number shock wave look like and how do they depend on the physical parameters of the problem.