The Hall Effect on the Magnetogasdynamic Flow past an Axi-Symmetric Body. I. Inviscid Flow

Abstract

In order to see the qualitative properties of the Hall effect on the magnetogasdynamic flow past an axi-symmetric body at small magnetic Reynolds number R_m and larger Reynolds number R_e, the steady, incompressible, inviscid flow past a body of revolution at zero incidence is studied on the assumption that a magnetic field is parallel to the velocity at infinity upstream and the body is an insulater.
The equations governing the azimuthal components of the velocity and magnetic field are derived, being expanded in power series with respect to α²R_m, where α² is the pressure number.
A general method to solve these equations is discussed for the axi-symmetric obstacle of arbitrary shape at zero incidence, and the surface velocity, the magnetic field in the azimuthal direction and the electric field are determined for a sphere and a circular disc.