<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

Publié en ligne: 22 avr. 2017

Pages: 29 - 39

Reçu: 01 déc. 2014

Accepté: 01 févr. 2015

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

Mots clés
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

Publié en ligne: 22 avr. 2017

Pages: 29 - 39

Reçu: 01 déc. 2014

Accepté: 01 févr. 2015

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

Mots clésMHD 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.

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