Numerical study of magneto - hydrodynamic mixed convection in a rectangular vented cavity

Abstract

In this thesis, the effects of conduction on mixed convection flow in a vented rectangular cavity and the effect ofconvectiort on magnetohydrodynarriic (MHD) have been investigated numerically. The development mathematical models of the physical problems are governed by the coupled equations of continuity, momentum and energy along with the corresponding boundary conditions. Using a class of appropriate transformationS, the governing equations along with the initial and boundary conditions are transformed into non-dimensional form, which are then solved by employing a finite-element scheme based on the Galerkin method of weighted residuals. Comparisons with previously reported investigations are performed and the results show very good agreement. In the present study, the obtained results are, presented in terms of streamlines, isotherms, average Nusselt number and average bulk temperature for various relevant dimensionless groups. The obtairied results reveal that both the flow and thermal fields inside the cavity strongly depend on the relevant dimensionless groups.