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Interaction between a slow magnetohydrodynamic shock wave and a tangential discontinuity. (English. Russian original) Zbl 1161.76318
Fluid Dyn. 37, No. 6, 960-969 (2002); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2002, No. 6, 123-133 (2002).
Summary: The self-similar problem of the oblique interaction between a slow MHD shock wave and a tangential discontinuity is solved within the framework of the ideal magnetohydrodynamic model. The constraints on the initial parameters necessary for the existence of a regular solution are found. Various feasible wave flow patterns are found in the steady-state coordinate system moving with the line of intersection of the discontinuities. As distinct from the problems of interaction between fast shock waves and other discontinuities, when the incident shock wave is slow the state ahead of it cannot be given and must to be determined in the process of solving the problem. As an example, a flow in which the slow shock wave incident on the tangential discontinuity is generated by an ideally conducting wedge located in the flow is considered. The basic features of the developing flows are determined.
MSC:
76W05 Magnetohydrodynamics and electrohydrodynamics
76L05 Shock waves and blast waves in fluid mechanics
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