Numerical analysis of unsteady laminar hydromagnetic mixed convection flow in a vertical channel

The study of unsteady mixed convection flow in a vertical channel with symmetric and asymmetric wall heating conditions is considered in this article. The boundary conditions used are isothermal–isothermal, isoflux–isothermal, and isothermal–isoflux for the left–right walls of the channel. The effects of the Hartmann number, convection parameter and heat generation/absorption coefficient are included in the numerical analysis. Graphic results with various values of the parameters involved are presented. The numerical solutions of the equations representing the process are obtained by the Network Simulation method. The results obtained in the steady-state were compared with the results of Chamkha and were very close. The numerical procedure employed, which satisfies the conservation law for the heat flux variable, also permits the direct visualization and evolution of the local and/or integrated transport variables at any point or section of the medium.