On the Flow of an Electrically Conducting Gas past a Slender Body in the Presence of a Crossed Magnetic Field

Abstract

The flow of an electrically conducting gas past a slender body of an arbitrary cross section, in the presence of a crossed magnetic field, is dealt with by the magnetohydrodynamic Stokes approximation. Using a concept of the slender body theory, the perturbation velocity and the induced electric fields are shown to be quasi-two-dimensional. The fields are developed into the power-series of a parameter, Q, defined by the product of the magnetohydrodynamic Reynolds number and the pressure number. It is found that the induced electric field without any space charge remains finite even if the parameter, Q, tends to zero, and that in the case of finite value of Q some space charges appear and the flow becomes rotational.