A discrete kinetic model admitting compression and expansion shock waves
Abstract
A discrete kinetic model is proposed which has some properties typical for retrograde gases. The characteristic feature of the model is that the probabilities of direct and inverse collisions are not symmetric. The Euler and NavierStokes equations corresponding to the proposed model are derived. The plane shock wave is studied by means of these three types of equations. It is found that in some cases the number density must decrease in order for the shock to be stable. The transition line is shown to be the same for the Boltzmann and NavierStokes model equations and, in the case of weak shocks, it coincides with that found from the Euler model equations.
 Publication:

Archiv of Mechanics, Archiwum Mechaniki Stosowanej
 Pub Date:
 1990
 Bibcode:
 1990ArMeS..42...87P
 Keywords:

 Gas Flow;
 Kinetic Theory;
 NavierStokes Equation;
 Shock Wave Interaction;
 Computational Fluid Dynamics;
 Degrees Of Freedom;
 Interactional Aerodynamics;
 Molecular Weight;
 Fluid Mechanics and Heat Transfer