Abstract
The transition solution across a plane nonrelativistic magnetohydrodynamic shock of finite strength in nonaligned flow in a perfect gas is investigated. A unified point of view is taken to analyze shocks in both one-dimensional unsteady flow and two-dimensional steady flow for which a set of conversion formulas connecting pertinent parameters in these two cases is given. We present a convenient parametric representation of the shock solution from which an analytical solution expressed in terms of any desirable shock-strength parameter can be readily obtained by performing a straightforward calculation. Detailed analytical and numerical solutions expressed in terms of the flow deflection angle across the shock which is most often prescribed in two-dimensional steady flow are then given, with entire ranges of all upstream parameters being covered. Limiting solutions for several special cases are derived. We illustrate the connection of the present general solution with several other major results in the literature. Dynamical stability criteria associated with general magnetohydrodynamic shocks are discussed.
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