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 ow is neglected, whence it follows the uniform ow of the plasma. We use Lazăr Dragoș’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.

Keywords

• mhd generator
• electric potential
• conformal mapping
• voltera-signorini problem
• gauss quadrature formulas
• power