Numerical Solutions for Boundary Value Problem of Mixed Convection Flow Inside a Rectangular Cavity with Heated Obstacles

The mixed convection flow and heat transfer in a vented rectangular hollow with an adiabatic enclosure and an interior solid obstruction that generates heat are investigated numerically. The combined effects of natural convection, which is produced by the heat-generating obstruction, and forced convection, which is facilitated by an exit port at the top of the right wall and an intake port at the bottom of the left wall, propel the flow. The Galerkin Finite Element Method (GFEM) is used to solve the governing equations for mass, momentum, and energy. The findings are examined to comprehend the intricate relationship between the Grashof number (Gr), which controls buoyant strength, and the Reynolds number (Re), which controls forced flow inertia. The average Nusselt number (Nu) and the average fluid temperature inside the cavity are used to quantify the total heat transfer performance, while streamlines and isotherms are used to depict the flow patterns and thermal distributions. The results show that the Re-Gr combination has a significant impact on the flow structure and thermal performance. This study offers vital information for improving the thermal design of devices including heat exchangers, solar thermal collectors, and electronic cooling enclosures.