Strong shock wave propagation in a mixture of a gas and dusty particles with counter pressure

The occurrence of a strong shock as a result of a sudden release of energy in a mixture of a gas and solid particles is considered. Self-similarity solutions exist, if the surrounding medium has a constant initial density and is at rest with negligible counter pressure. As the strong shock propagates, its strength will decay, and gradually the counter pressure will cease to be negligible. If the counter pressure is not negligible, the flowfield due to this shock wave will not correspond to the results of the self-similarity solution. In the present investigation the first order solutions due to counter pressure are discussed on the basis of an analysis utilizing perturbation theory, taking into account the introduction of a perturbation parameter. Attention is given to fundamental equations and numerical solutions.