Hall Effects in Magnetogasdynamic Flows of Finite Conductivity past a Wedge Profile

Abstract

A steady flow of an ideal gas past a thin wedge profile in an aligned magnetic field is considered for arbitrary magnetic Reynolds number, Hall parameter, Mach number, and Alfven Mach number, within the linearized theory. The flow field near the obstacle is found by the numerical integration of the Fourier transfrom. The outer flow is estimated by the method of asymptotic expansion. Particular attention is placed on the transition of the flow field as the Hall parameter increases from zero to infinity for a given magnetic Reynolds number. Then, the MHD boundary layer and the MHD shock layer are dispersed away, and the flow field tends to the ordinary gasdynamic one after the intermediate state with wavy aspects. Several predictions are provided about the observation of a standing MHD shock wave.