Magnetoconvection and Entropy Analysis in T-Shaped Porous Enclosure Using Finite Element Method

Abstract

In this paper, a computational work has been investigated on mixed convection and entropy generation in a T-shaped porous cavity filled with a copper–water nanofluid in the presence of a sinusoidal heated wall. The dimensionless system of equations is tackled with the help of Galerkin finite element method, and the obtained nonlinear discretized system of equations is solved via Newton’s method. The computed results have an excellent agreement with the already-published literature in a related area for special cases of governing parameters. The results are investigated for various parameters, including particular ranges as given: Richardson number (), Darcy number (), orientation of magnetic field (), aspect ratio (), and Hartmann number (). It was inferred that heat transfer, entropy generation and Bejan number are decreased by increasing the Hartmann number. At and as the Darcy number increases from to , the average Nusselt number has a growth of 30% or more. The effects of the aforementioned parameters on heat transfer and entropy generation are studied and analyzed in detail.