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

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