Shock dynamics of strong imploding cylindrical and spherical shock waves with non-ideal gas effects

TL;DR

This paper derives an analytical solution for the behavior of strong imploding shock waves in non-ideal gases, examining how non-idealness and adiabatic index influence shock dynamics and flow properties.

Contribution

It introduces a generalized analytical approach considering non-ideal gas effects and shock jump relations for imploding shock waves.

Findings

Shock velocity and pressure increase with non-idealness parameter.

Flow properties are significantly affected by the adiabatic index.

The study clarifies the influence of non-ideal effects on shock wave behavior.

Abstract

In this paper, the generalized analytical solution for one dimensional adiabatic flow behind the strong imploding shock waves propagating in a non-ideal gas is obtained by using the geometrical shock dynamics theory. The equation of state for non-ideal gas as given by Landau and Lifshitz and the generalized shock jump relations derived by Anand are taken into consideration to explore the effects due to an increase in (i) the propagation distance from the centre of convergence, (ii) the non-idealness parameter and, (iii) the adiabatic index, on the shock velocity, pressure, density, particle velocity, sound speed, adiabatic compressibility and the change in entropy across the shock front. The findings provided a clear picture of whether and how the non-idealness parameter and the adiabatic index affect the flow field behind the strong imploding shock front.