Similarity solution for variable energy shock waves in a dusty gas under isothermal flow-field condition

Abstract

The problem of strong shock-wave propagation through a dusty gas is studied as a limiting case of very intensive heat transfer. According to potential law, the variable energy is continuously deposited at the shock front. A self-similar solution is found under isothermal condition of the ow ÿeld. The spherical case is worked out in detail to investigate as to how the blast wave is in uenced by the energy input as well as by the mass concentration of the solid particles in the medium and the ratio of density of the solid particles to the initial density of the medium. The cases of instantaneous energy input and dust-free gas are both included in the numerical results as limiting cases.

Self-Similar Solution of Spherically Symmetrical Discontinuities with Increasing Energy in Generalized Roche Model

“…Shinde [14] has discussed the propagation of cylindrical shock wave in a nonuniform rotating stellar atmosphere under the action of monochromatic radiat ion and gravitation. Gtretler and Regenfelder [15] have obtained similarity solution for variable energy shock wave in a dusty gas under isotherma l flow field condition Vishwakarma, Yadav [16] have s tudies self similar analytical solution for blast wave in inhomogeneous atmosphere with frogen in magnetic field. Magnetohydrodynamic cylindrical shock wave in self gravitation gas have been studies by Singh and Singh [17].…”