Hydrodynamically and Thermally Fully Developed MHD Flow Between Two Horizontal Plates: Analysis with Viscous Dissipation Joule Heating and Constant Heat Flux Boundary Conditions

摘要

In the present paper hydrodynamically and thermally fully developed laminar flow of viscous, incompressible, conducting, Newtonian fluid through two horizontal parallel plates is investigated under the influence of transversely applied uniform magnetic field. The effect of viscous dissipation, Joule heating and constant heat flux boundary conditions on the heat transfer and temperature distribution is taken into account, whereas axial heat conduction is neglected. The thermal boundary conditions are considered for three cases; (i) when the upper and the lower plates are kept at different constant heat fluxes, (ii) when the upper and the lower plates are at the same constant heat flux and (iii) the upper plate is at constant heat flux and the lower plate is insulated. Analytical solutions for the velocity field and the temperature distribution are obtained for all the three cases. The results of the study are evaluated numerically and discussed through graphs and tables for different numerical values of the parameters entered into the problem. The results of Francisca and Tso [15] are deduced as particular cases of the present study.