Two-dimensional buoyant plume in porous media: Higher-order effects
type: Item
instance of: scholarly article
title: Two-dimensional buoyant plume in porous media: Higher-order effects
zbMATH Open document ID: 0575.76083
DOI: 10.1016/0017-9310(85)90096-1
author: N. Afzal
published in: International Journal of Heat and Mass Transfer
publication date: 1985-01-01T00:00:00Z
review text: The natural convection from a two-dimensional horizontal line source of heat embedded in a porous media has been studied by the method of matched asymptotic expansions at large Rayleigh numbers. The general case of a confined plume emerging from the apex of an insulated symmetric wedge with its axis coinciding with the direction of buoyant force vector is considered for arbitrary values of wedge angles. The first-order problem reduces to the boundary-layer approximation considered earlier by \textit{R. A. Wooding} [J. Fluid Mech. 15, 527-544 (1963; Zbl 0114.199)]. For the second-order boundary layer equations, representing the entrainment effect, a closed-form solution is given and for the third-order equations representing the effects of axial heat conduction and normal pressure gradiant the equations are integrated numerically. The results are displayed graphically and discussed critically.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3920102
zbMATH Keywords: two-dimensional buoyant plume
zbMATH Keywords: closed form solution for second order approximation
zbMATH Keywords: two-dimensional horizontal line source of heat
zbMATH Keywords: matched asymptotic expansions
zbMATH Keywords: large Rayleigh numbers
zbMATH Keywords: boundary-layer approximation
MaRDI profile type: Publication
full work available at URL: 0017-9310(85)90096-1
OpenAlex ID: W2042308937
description: scientific article; zbMATH DE number 3920102