Pressure shocks in relativistic viscous heat-conducting fluids

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Conductive Heat Transfer, Elastic Waves, Relativistic Velocity, Shock Wave Propagation, Viscous Fluids, Computational Astrophysics, Transport Properties, Wave Equations, Wave Fronts

Scientific paper

The propagation of pressure shocks in viscous heat-conducting relativistic fluids was studied using Eckart's (1940) model and neglecting gravitational effects. The growth equation for the velocity of the waves was developed for the cases of low and high temperatures with variable transport coefficients. In addition, for the case of constant transport coefficients, an analytical solution was obtained for the velocity of the wave as a function of the distance along the normal trajectory to the wave front. It is shown that the rate of decrease in the shock velocity in the case of constant coefficients is greater than that in the case of variable transport coefficients.

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