Determination of vorticity, gradients of flow parameters and curvature of stream-lines behind unsteady curved shock waves

Abstract

In this paper the gradients of flow parameters and the expression for vorticity vector behind three-dimensional unsteady curved shock waves in fluids obeying anarbitrary equation of state have been explicitly determined. A transformation of coordinates defined by Taub [1](1), has been used and various conservation equations have been obtained in the new coordinate system, assuming the dissipative mechanisms such as viscosity and heat-conduction as absent. The flow quantities on the upstream side of the shock are assumed to be uniform and known and those on its downstream side have been determinedin principle in terms of known quantities for the flow obeying anarbitrary equation of state. For the flow of a perfect gas all the unknown quantities have been explicitly calculated in terms of known quantities. The derivatives of entropy and curvature of stream-lines behind the unsteady shock wave have also been explicitly determined.