Shock wave solution for the planar, cylindrically, and spherically symmetric flows of non-ideal relaxing gas

Abstract

In the present article, we investigate one-dimensional non-ideal relaxing gas to study solution of shocks for planar and non-planar flows, more specifically cylindrically symmetric, and spherically symmetric flows. The analytic solution of the problem is determined in the characteristic plane. It signifies that linear solution in this plane reveals non-linear behavior in the physical plane. Also, the condition of shock formation has been determined by analyzing the growth and deterioration of shocks using transport equations. It is observed that nature of the solution completely depends upon relaxing gas parameters and non-idealness. All computations are done using computational package MATHEMATICA. • Shock wave solution to the non-ideal relaxing gasdynamic system is studied. • The condition of shock formation is determined. • The growth and deterioration of shocks is discussed. • Impact of relaxing gas and non-ideal parameters on the evolution of shock is studied.