FINITE DIFFERENCE METHOD BASED-NUMERICAL SIMULATIONS AND CAVITY TILTING ANALYSIS ON MAGNETOCONVECTION IN AN INCLINED PARALLELOGRAMMIC POROUS ENCLOSURE

Abstract

This article numerically investigates the buoyancy-assisted convective flow and associated thermal characteristics in an inclined parallelogram-shaped porous geometry containing heat source and sink of different lengths placed at various locations. The left tilted wall has a hot source, and right tilted wall contains a cold sink, while the remaining regions of the inclined sidewalls are thermally insulated. The geometry is filled with fluid-saturated porous material and, in addition, an externally applied magnetic field (MF) has been supplied in lateral direction. The model equations governing the physical processes involve Darcy's law for the momentum equations and energy equations to account thermal variations. Using a stable and implicit finite difference methodology, these set of coupled and nonlinear partial differential equations are solved by reducing them to a system of linear algebraic equations. A wide range of numerical experiments are performed to determine the influence of various physical and geometrical parameters on the flow and thermal structure as well as thermal dissipation rate inside the geometry. Further, a suitable pair of inclination angles is found, at which maximum heat transport could be produced as compared to other combination of angles. Furthermore, an optimum size and location for the source-sink combination has been predicted which induces higher heat transport rates.