Jump relations for magnetohydrodynamic shock waves in non-ideal gas flow

TL;DR

This paper derives generalized jump relations for MHD shock waves in non-ideal gases, considering different shock strengths and magnetic field conditions, enhancing understanding of shock behavior in magnetized non-ideal gas environments.

Contribution

It introduces new generalized jump relations for MHD shocks in non-ideal gases, accounting for shock strength and magnetic field variations, based on Landau and Lifshitz's equation of state.

Findings

Derived jump relations for pressure, density, and velocity in non-ideal gases.

Simplified relations for weak and strong shocks.

Analyzed effects of magnetic field strength on shock behavior.

Abstract

The generalized jump relations across the magnetohydrodynamic (MHD) shock front in non-ideal gas are derived considering the equation of state for non-ideal gas as given by Landau and Lifshitz. The jump relations for pressure, density, and particle velocity have been derived, respectively in terms of a compression ratio. Further, the simplified forms of the MHD shock jump relations have been obtained in terms of non-idealness parameter, simultaneously for the two cases viz., (i) when the shock is weak and, (ii) when it is strong. Finally, the cases of strong and weak shocks are explored under two distinct conditions viz., (i) when the applied magnetic field is strong and, (ii) when the field is weak. The aim of this paper is to contribute to the understanding of how shock waves behave in magnetized environment of non-ideal gases.