Two-dimensional transonic flow of perfectly conducting gas with aligned magnetic field
Steady flow of perfectly conducting, inviscid, compressible fluid with aligned magnetic field is studied, with special reference to the transonic, small-perturbation flow. It is shown that the equations of motion as well as the conditions for possible shock waves can be reduced to those of ordinary flow by a suitable affine-transformation. Thus, von Kármán’s transonic similarity rule is extended to this class of magnetogasdynamic flow. In this extension, sub-Alfvénic flows are related to the ordinary flow with reversed flow direction. The flow past a half-wedge at Mach number 1 is considered in detail.
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- Hida, K.: Preprint, 6th Meeting on Mech. and Appl. Math., Tokyo (1961).Google Scholar