Natural convection from a semi-infinite flat plate inclined at a small angle to the horizontal in a saturated porous medium
type: Item
instance of: scholarly article
title: Natural convection from a semi-infinite flat plate inclined at a small angle to the horizontal in a saturated porous medium
zbMATH Open document ID: 0605.76103
DOI: 10.1007/BF01176917
published in: Acta Mechanica
publication date: 1985-01-01T00:00:00Z
review text: This paper considers the free convection boundary-layer on a semi- infinite heated flat surface bounding a saturated porous medium. Two configurations are considered: one where the component of the buoyancy force along the surface aids the flow, the other where it opposes the flow. Series solutions are developed: one valid near the leading edge and the other valid at large distance from it when the surface is inclined upwards. Sufficient terms in the leading edge solution are taken so that the two asymptotic solutions may be joined. In the case of a downwards inclination surface, the series solutions valid near the leading edge are again obtained and the nature of the boundary-layer separation is investigated. An important aspect of this work is the analysis of the non-singular nature of the solution, which appears near the point of separation for a downwards inclination of the surface. The authors have shown that this separation is in general non-singular for this configuration by simple analytical as well as numerical methods. It is worth mentioning, however, that this phenomenon of boundary-layer separation in a porous medium is apparently novel and very little work has been done on this aspect. The paper is carefully prepared and it offers extensive mathematical arguments in support of the modelling proposed. The subject matter would appeal to those interested in the area of convective flow in porous media and numerical solutions to the specific problems.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R05
zbMATH DE Number: 3978695
zbMATH Keywords: separation point
zbMATH Keywords: free convection boundary-layer
zbMATH Keywords: semi-infinite heated flat surface
zbMATH Keywords: saturated porous medium
zbMATH Keywords: buoyancy force
zbMATH Keywords: Series solutions
zbMATH Keywords: leading edge solution
zbMATH Keywords: asymptotic solutions
zbMATH Keywords: downwards inclination surface
zbMATH Keywords: boundary-layer separation
zbMATH Keywords: numerical methods
author: Derek B. Ingham
author: J. H. Merkin
author: Ioan Pop
MaRDI profile type: Publication
cites work: Natural convection in an infinite porous medium with a concentrated heat source
cites work: Buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces
cites work: On the free convection from a horizontal plate
cites work: Binary diffusion and heat transfer in laminar free convection boundary layers on a vertical plate
cites work: Natural convection above unconfined horizontal surfaces
cites work: On the stability of natural convection boundary layer flow over horizontal and slightly inclined surfaces
cites work: FREE CONVECTION FROM A SEMI-INFINITE FLAT PLATE INCLINED AT A SMALL ANGLE TO THE HORIZONTAL
cites work: Convection in a saturated porous medium at large Rayleigh number or Peclet number
cites work: On Asymptotic Expansions in the Theory of Boundary Layers
cites work: Self-induced separation
full work available at URL: https://doi.org/10.1007/bf01176917
OpenAlex ID: W2015826130
description: scientific article; zbMATH DE number 3978695