Self-similar solution for cylindrical shock waves in a weakly conducting dusty gas

The propagation of diverging cylindrical shock waves in a weakly conducting dusty gas (mixture of a perfect gas and small solid particles) under the influence of a spatially variable axial magnetic induction, is investigated. The initial density of the medium obeys a power law. The total energy of the flow-field behind the shock is not constant, but assumed to be increasing due to time dependent energy input. The effects of variation of initial density, the mass concentration of solid particles (k(p)), the ratio of the density of the solid particles to the density of the perfect gas in the undisturbed mixture (G(0)), and the presence of magnetic induction, on the propagation of the shock and the flow-field behind it are investigated. (C) 2017 Ain Shams University.