Heat and mass transfer by natural convection in a porous medium
type: Item
instance of: scholarly article
title: Heat and mass transfer by natural convection in a porous medium
zbMATH Open document ID: 0564.76085
DOI: 10.1016/0017-9310(85)90272-8
author: A. Bejan
author: Khairy R. Khair
published in: International Journal of Heat and Mass Transfer
publication date: 1985-01-01T00:00:00Z
review text: This paper reports a fundamental study of the phenomenon of natural convection heat and mass transfer near a vertical surface embedded in a fluid-saturated porous medium. The buoyancy effect is due to the variation of temperature and concentration across the boundary layer. The study contains two parts. In the first part, scale analysis shows that the natural convection phenomenon conforms to one of four possible regimes, depending on the values of buoyancy ratio N and Lewis number Le. The scales of the heat and mass transfer rates are determined for each regime. In the second part of the study, the boundary-layer problem is solved via similarity formulation in the buoyancy ratio range -5\(\leq N\leq 4\) and Lewis number range \(1\leq Le\leq 100\). The similarity solutions confirm the validity of the order-of-magnitude limiting results revealed by scale analysis.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 3900412
zbMATH Keywords: Darcy flow
zbMATH Keywords: vertical surface
zbMATH Keywords: buoyancy effect
zbMATH Keywords: scale analysis
zbMATH Keywords: boundary- layer problem
zbMATH Keywords: similarity formulation
zbMATH Keywords: Lewis number
Wikidata QID: Q56608127
MaRDI profile type: Publication
full work available at URL: 0017-9310(85)90272-8
OpenAlex ID: W2012991833
description: scientific article; zbMATH DE number 3900412