Free Convection of Water near its Density Maximum in a Heat Generating Porous Cavity with Sinusoidal Heating

The aim of the present numerical investigation is to understand the unsteady free convective flow and heat transfer of cold water near its density maximum temperature in a two-dimensional square porous cavity with internal heat generation. The present study uses the Brinkmann-Forchheimer extended Darcy model for porous medium to study the effects of density inversion parameter, heat generation parameter, Darcy number and porosity. The finite volume method is used to solve the governing equations. The nonlinear behavior of local heat transfer is observed due to sinusoidal heating. The heat transfer enhances for heat absorption case than that of heat generation case in the presence of density maximum. (paper)