Numerical study of laminar mixed convection flow in a lid-driven square cavity filled with porous media: Darcy-Brinkman-Forchheimer and Darcy-Brinkman models

Abstract

Purpose

The purpose of this study is to produce a numerical model capable of predicting the mixed convection flows in a rectangular cavity filled with a porous medium and to analyze the effects of several parameters on convective flow in porous media in a differentially heated enclosure.

Design/methodology/approach

The authors used the finite volume method.

Findings

The authors predicted and analyzed the effects of Richardson number, Darcy number, porosity values and Prandtl number in heat transfer and fluid flow. On other hand, the porosity and Richardson number values lead to reducing the heat transfer rate of mixed convection flow in a porous medium.

Originality/value

A comparison between Darcy–Brinkman–Forchheimer model and Darcy–Brinkman model is discussed and analyzed. The authors finally conclude that the Darcy–Brinkman model overestimates the heat transfer rate.

Citation

Hdhiri, N. and Ben Beya, B. (2018), "Numerical study of laminar mixed convection flow in a lid-driven square cavity filled with porous media: Darcy-Brinkman-Forchheimer and Darcy-Brinkman models", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 4, pp. 857-877. https://doi.org/10.1108/HFF-04-2016-0146