The purpose of this paper is to extend the shock dynamic method that applies to quiescent gas ahead of shock wave to the case of moving gas. The 2-dimensional equations of shock dynamics are obtained for uniform flow ahead of shock wave which are represented by shock Mach number and angle of shock front. The 2-dimensional equations of shock dynamics for non-uniform flow are derived, which include (i) the geometrical relations, derived by using the method of transient transformation of coordinates in differential elements and (ii) the area relation, which is established by using the concept of ray tube in moving frame of reference. The application of these equations to the interaction of moving shock with bow shock is described.
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