Energy Science, Engineering, and Policy

Finite Element Investigation of Entropy Generation and Natural Convection in a Non-Darcy Porous Cavity with Thermal Radiation

Abstract

Dawda Charreh, Bai Mbye Cham, Shaiza Talib, Mamadou Bah and Bakary L. Marong

A high-resolution numerical investigation using finite elements is presented on the two-dimensional buoyancy-driven flow with thermal radiation in a porous square enclosure. The fluid flow within the permeable medium is modeled by the extended Brinkman–Forchheimer equations of motion. The study considers the combined effects of several dimensionless quantities, including the porous medium, Prandtl number, radiation parameter, and Rayleigh number. The anticipated flow patterns and velocity fields show a significant level of consistency with previous numerical simulations. At higher Prandtl number the velocity is independent of all dimensionless parameters. Furthermore, an increase in Rayleigh numbers leads to a significant increase in entropy generation, particularly entropy due to thermal transmission. High entropy generation occurs along the vertical walls of the cavity.

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