Mixed Convection Flow and Heat Transfer Behavior inside a Vented Enclosure in the Presence of Heat Generating Obstacle

A numerical investigation has been carried out for an MHD mixed convection problem to realize the influence of solid fluid thermal conductivity ratio as well as diameter of the centered obstacle on the flow and thermal fields in a ventilated cavity. The basis of the current paper is the numerical solutions of the Navier-Stokes equation along with the energy equation, wherein Galerkin weighted residual finite element technique is adopted with the help of Newton?Raphson iterative algorithm. The computation is performed for a wide range of relevant parameters such as thermal conductivity ratio between solid and fluid K (0.2 ? 50), diameter of the inner block D (0.1 ? 0.7) and Richardson number Ri (0.1 ? 10). The streamlines and isotherms have been used for the visualization of the fluid flow structure and thermal field characteristics. Moreover, the findings of this analysis are also displayed by the average Nusselt number on the heated surface and average fluid temperature in the cavity. The study concludes that a small sized block and a lower value of thermal conductivity ratio is more effective for heat transfer phenomenon of the enclosure.