Buoyancy-induced inclined boundary layer flows in a saturated porous medium
type: Item
instance of: scholarly article
title: Buoyancy-induced inclined boundary layer flows in a saturated porous medium
zbMATH Open document ID: 0631.76111
DOI: 10.1016/0045-7825(88)90013-8
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: An implicit finite difference method is used to analyze the free convection flow in a saturated porus medium adjacent to an inclined plate, where wall temperature is a power function of the distance from the origin. Both the streamwise and normal components of the buoyancy force are retained in the momentum equations. The present formulation permits the angles of inclination ranging from 0 to close to 90 degrees from the horizontal. It is shown that as the inclination parameter \(\xi\) increases, both the velocity and temperature boundary layer thicknesses decrease, and the rate of surface heat transfer increases. These new results are also compared with the similarity solutions for an equivalent vertical plate, in which the normal component of the buoyancy force is neglected and the gravity component parallel to the inclined plate is used in the definition of the Rayleigh number. The results indicate that the equivalent vertical plate solutions may significantly underpredict the heat transfer rates for small values of the inclination parameter.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76R05
zbMATH DE Number: 4027101
zbMATH Keywords: implicit finite difference method
zbMATH Keywords: free convection flow
zbMATH Keywords: saturated porous medium
zbMATH Keywords: temperature boundary layer thicknesses
author: Jiin-Yuh Jang
author: Wen-Jeng Chang
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90013-8
OpenAlex ID: W2009293845
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: Q3568481
cites work: Buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces
cites work: NON-DARCY NATURAL CONVECTION FROM ARBITRARILY INCLINED HEATED SURFACES IN SATURATED POROUS MEDIA
cites work: Free convection above a near horizontal semi-infinite heated surface embedded in a saturated porous medium
cites work: Q3859432
description: scientific article; zbMATH DE number 4027101