<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

A simplified mathematical theory of MHD power generators

Department of Mathematics, University of Bucharest, Str. Academiei 14, 010014 București, Romania

“G. Mihoc-C.Iacob” Institute of Mathematical Statistics and Applied Mathematics of Romanian Academy, Calea 13 Septembrie 13, București,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"A simplified mathematical theory of MHD power generators"}

We present a simplified version of the Faraday magnetohydrodynamics (MHD) generators theory. The effect of the Loretz force against the fluid ow is neglected,...

A simplified mathematical theory of MHD power generators

Published Online: Apr 22, 2017

Page range: 29 - 39

Received: Dec 01, 2014

Accepted: Feb 01, 2015

DOI: https://doi.org/10.1515/auom-2015-0045

Keywords
MHD generator, electric potential, conformal mapping, Voltera-Signorini problem, Gauss quadrature formulas, power

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A simplified mathematical theory of MHD power generators

Published Online: Apr 22, 2017

Page range: 29 - 39

Received: Dec 01, 2014

Accepted: Feb 01, 2015

DOI: https://doi.org/10.1515/auom-2015-0045

KeywordsMHD generator, electric potential, conformal mapping, Voltera-Signorini problem, Gauss quadrature formulas, power

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
MHD generator, electric potential, conformal mapping, Voltera-Signorini problem, Gauss quadrature formulas, power