Thermal Convection in Porous Cavity with Heated Block

Abstract

This work investigates mixed convection numerically using a heated square cylinder at the middle of a vented cavity filled with fluid-saturated porous media. External cold fluid enters into the cavity through the opening located either at the bottom wall or at the bottom and side walls, whereas the hot plume is vented through an opening at the top wall. All the walls of the cavity are insulated. The governing equations are solved by in-house code. Flow through porous medium has been modeled using Brinkman-Forchheimer-Darcy Model (BFDM). The influence of flow parameters (Reynolds number Re = 10–500, Richardson number Ri = 0.1–100) and porous-medium parameters (Darcy number Da = 10-7–10-3, porosity e = 0.1–1) and inlet openings are investigated systematically. It is observed that the heat transfer increases as Ri and Re increase.