Two-Dimensional Flow of a Weakly Conducting Gas Past a Plane Wall Containing a Magnetic Dipole

Abstract

In order to find some effects of compressibility on the flow of a conducting gas past a magnetized body, the two-dimensional, steady flow of a weakly conducting gas past a plane wall containing a magnetic dipole, the axis of which is placed parallel to the wall, is considered on the basis of the small perturbation theory. The boundary value problem in terms of perturbation velocity is formulated and solved for subsonic and supersonic flows. In subsonic flow of a comparatively small Mach number, the drag and moment depend only on a parameter N, where N=R_mS, R_m is the magnetic Reynolds number and S is the pressure number. In supersonic flow, the velocity distribution on the wall is not monotonus, and becomes more irregular as the Mach number approaches unity.