Abstract

Abstract- Strength of overtaking waves on the freely propagating strong sphericalconverging shock waves in the dusty gaseous non-uniform medium has beeninvestigated. The non-uniformity of the medium arises due to solid bodyrotation of the mixture and the flow behind the shock. It is assumed that themedium in which shock propagates, is a suspension of inert dust particles andnon-ideal gas. The particles are of small spherical uniform size and uniformlydistributed in the medium. It is also assumed that the condition of equilibriumflow is maintained. Neglecting the Coriolis forces, the analytical expressionsfor the shock velocity and shock strength for freely propagation as well asunder the influence of flow behind the shock front have been derived using CCWmethod. The non-dimensional expressions for pressure and particle velocity arealso obtained. The variations of all flow variables with propagationdistance(r), angular velocity (Ω), and mass concentration of dust particles inthe medium (k_p) are shown through figures. The results reported hereare compared with those for dusty perfect gas[26]. It is observed that thepresence of non-idealness in the gaseous medium has significant effects on flowvariables of shock propagation.

Keywords- Dusty shock, strong, non-ideal gas, effect of overtaking disturbances.