Numerical modeling of heat transfers in a porous medium subjected to large temperature variations

Abstract

This thesis explores natural convection heat transfer in fluid-saturated porous media within enclosed cavities, a key area with applications in thermal management and industrial processes. The research examines the effects of internal heat generation, thermal radiation, temperature differences and porous medium characteristics on fluid flow and heat transfer rates. All simulations are conducted under the low Mach number approximation, where high temperature gradients ensure accurate fluid dynamics modeling. Numerical simulations, based on the Darcy-Brinkman model and Navier-Stokes equations, analyze laminar flow patterns and temperature fields. Key parameters such as internal Rayleigh number, external Rayleigh number, Darcy number, porosity, emissivity, and Boussinesq parameter are investigated. Results show that higher Darcy numbers improve fluid flow and heat transfer, while increased porosity enhances heat exchange surface area. Thermal radiation plays a significant role in shaping convection patterns and overall heat transfer rates. This study provides valuable insights for optimizing heat exchange in energy-efficient systems and industrial applications.