Shock structure and temperature overshoot in macroscopic multi-temperature model of binary mixtures

Abstract

© Springer International Publishing Switzerland 2015. The present study deals with the shock wave profiles in the macroscopic multi-temperature model of binary gaseous mixtures. For that purpose we adopt the hyperbolic model developed within the framework of extended thermodynamics. It is assumed that the mass difference between the constituents has the most prominent influence on the shock structure. Simplicity of the model enables systematic analysis of the results, using a large set of values for parameters, with special regard to the temperature overshoot (TO) of the heavier constituent. We found that TO varies non-monotonically with mass ratio of the constituents. In the context of the previous research, the influence of the different types of dissipation on the shock structure is considered by extending the original hyperbolic system with diffusion terms. It has been observed that TO continued to exist even in the presence of additional dissipative mechanisms.