Electric effects in Window-Frame MHD generators with non-uniform velocity and conductivity in the transverse plane

Abstract

This paper presents analytical results for the dependence of the electric field and current, as well as the integral characteristics of Window-Frame MHD generators, on the inhomogeneity of velocity and conductivity in the transverse plane. Exact solutions of the electric potential and integral parameters are presented for the case of cylindrical channels with elliptic cross sections, and detailed cases are given graphically for a range of frame angles, channel aspect ratios and type and strength of boundary layers.