Mathematical modelling of 2D magnetohydrodynamics and temperature fields induced by alternating current feeding the bar type conductors in a cylinder

A. Buikis - H. Kalis - A. Gedroics

Institute of Mathematics and Informatics, University of Latvia, 29 Raina bulv., Riga, LV-1459, Latvia

Abstract
The heating of buildings by ecologically clean and compact local devices is an interesting and actual problem. One of the modern areas of applications developed during recent years is the effective use of electric energy produced by the alternating current in the production of heat energy. This work presents a mathematical model of one of such devices. It is an infinite cylinder, filled with a viscous incompressible liquid, with metal conductors--electrodes of the form of bars placed parallel to the cylinder axis in the liquid. To those conductors the alternating current is supplied. Water is a weakly electrically conducting medium (electrolyte). Distribution of electromagnetic fields, forces and temperature induced by the system of the altenating electric current in the conducting cylinder has been calculated. An original method was used to calculate the mean values of electromagnetic forces. 2D magnetohydrodynamic flow and distribution of temperature in the cross-section of the cylinder are obtained by finite difference methods. Tables 4, Figs 12, Refs 8.