Quasi-similar solution of the strong shock wave problem in non-ideal gas dynamics

Abstract

The quasisimilar theory is used to investigate the solution of the blast wave problem with generalized geometries in a non-ideal gas satisfying the equation of state of the Van der Waals type. Here it is assumed that the distribution of normalized velocity, pressure and density are nearly similar in the narrow range of the shock strength. A comparison between approximate analytical solution and numerical solution of the problem is presented for the cylindrical geometry. The numerical solutions are presented for the generalized geometry in a non-ideal gas. It is also assessed as to how the non-idealness of the gas affects the behavior of the flow parameters.

An Exact Analytical Solution of the Strong Shock Wave Problem in Nonideal Magnetogasdynamics

“…The basic equations for unsteady flow of a one dimensional gasdynamic motion may be written as [8,[12][13][14]…”

“…Murata [11] obtained the exact solution for the one dimensional blast wave problem with generalized geometry. Singh et al [12] have used quasisimilar theory to construct an analytical solution for the strong shock wave problem with generalized geometries in a nonideal gas satisfying the equation of state of the Van der Waals type.…”