Structure of planar shock waves in gaseous mixtures based on ab initio direct simulation

Non-continuum effects on the sound of a heated line source: from a monopole to non-isotropic radiation

“…The choice of a hard-sphere gas model of interaction is made due to its relative simplicity for deriving analytical results, and the effect of using a different (Maxwell) type of molecular interaction is illustrated in § 6. Application of more realistic models of interaction, such as the ab initio potential suggested recently by Sharipov in different contexts (Sharipov 2017; Sharipov & Dias 2018), may be carried out, yet would hinder the analysis and is therefore not followed here. In terms of the governing parameters, free molecular conditions are expected to prevail where or , for which either the length scale or time scale is short compared with the mean free path or mean free time, respectively.…”

Mathematical Aspects in Non-equilibrium Thermodynamics

“…In this context, existence of continuous profiles and appearance of sub-shocks turned out to be more delicate than in the one-component case, as discussed in [48][49][50]. Shock structure in the mixture of noble gases was revisited by DSMC in [51]. Recently, attention was given to the entropy growth and the entropy production analysis in the mixture of Euler fluids [52], and the mixture with viscous and thermal dissipation [53].…”