Effect of temperaturedependent electrical conductivity on transport processes in magnetosolidmechanics
Abstract
The effect of temperaturedependent electrical conductivity on transport processes for a solid block is analyzed on the basis of a onedimensional steadystate model under specified thermal boundary conditions. Assumptions are that the solid has an infinitely segmented electrode configuration, the magnetic field (By) may be resolved into a constant applied field and an induced field, the gradient of the electrochemical potential is equal to the electrostatic potential, a constant potential difference is applied externally across each pair of opposite electrodes, and all material properties except electrical conductivity are constant. Conductivity is expressed in normalized form in terms of a baseline conductivity and a constant for the material. The application of the assumptions of the model to the general phenomenological relations yields the governing equations. Solution of these equations gives the distribution of temperature, electric current density, and magnetic field strength along the length of the solid. It is shown that significant differences exist between the case for constant electrical conductivity and the case where electrical conductivity is temperature dependent.
 Publication:

ASME Journal of Applied Mechanics
 Pub Date:
 December 1975
 Bibcode:
 1975ATJAM..42..882C
 Keywords:

 Electrical Resistivity;
 Magnetic Fields;
 Mechanical Engineering;
 Temperature Effects;
 Transport Properties;
 Heat Transmission;
 Mathematical Models;
 Numerical Analysis;
 Physics (General)