The unsteady penetration of free convection flows caused by heating and cooling flat surfaces in a porous media
type: Item
instance of: scholarly article
title: The unsteady penetration of free convection flows caused by heating and cooling flat surfaces in a porous media
zbMATH Open document ID: 0930.76083
DOI: 10.1016/0017-9310(96)00154-8
author: R. Bradean
author: P. J. Heggs
author: Derek B. Ingham
author: Ioan Pop
published in: International Journal of Heat and Mass Transfer
publication date: 1999-05-26T00:00:00Z
review text: Free convection flow is generated in a porous medium adjacent to a vertical or horizontal flat surface which is suddenly heated and cooled, sinusoidally along its length. An approximate analytical solution, which is valid for small times and for any value of the Rayleigh number, \(Ra\), is obtained by matching inner and outer expansions. A numerical solution is also obtained which matches the small time analytical solution to the ultimate steady-state solution when such a solution exists. In both configurations the flow pattern is that of a row of counter rotating cells situated close to the surface.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1253820
zbMATH Keywords: method of matched expansions
zbMATH Keywords: approximate analytical solution
MaRDI profile type: Publication
full work available at URL: 0017-9310(96)00154-8
OpenAlex ID: W2043456077
description: scientific article; zbMATH DE number 1253820