A simplified mathematical theory of MHD power generators

Abstract

We present a simplified version of the Faraday magnetohydrodynamics (MHD) generators theory. The effect of the Loretz force against the fluid flow is neglected, whence it follows the uniform flow of the plasma. We use Lazȃr Dragoş's analytic solution for the electric potential and perform some numerical calculations in order to obtain the useful output power of a generator connected to an external resistive circuit.