Natural convection in a shallow porous cavity - The Brinkman model
type: Item
instance of: scholarly article
title: Natural convection in a shallow porous cavity - The Brinkman model
zbMATH Open document ID: 0626.76086
DOI: 10.1016/0017-9310(87)90005-6
author: Asok K. Sen
published in: International Journal of Heat and Mass Transfer
publication date: 1987-01-01T00:00:00Z
review text: The author has studied the natural convection problem in a shallow porous rectangular cavity with differentially heated sidewalls. The governing equations for the porous medium are those given by Brinkman which helps us to study the flow in a porous medium, consisting of a sparce distribution of particles. Such a phenomenon occures in a petroleum reservoir. The governing equations are solved for two types of boundary conditions, i) no-slip boundary condition, ii) cavity with free upper surface. The inner and outer expansion method is employed. It is observed that the rate of heat transfer at large values of the Darcy number for both of the above cases behaves in the same manner, with very little difference between them. Engineers in the petroleum industry will find this paper more useful and interesting.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76E15
zbMATH DE Number: 4018667
zbMATH Keywords: natural convection problem
zbMATH Keywords: shallow porous rectangular cavity
zbMATH Keywords: differentially heated sidewalls
zbMATH Keywords: petroleum reservoir
zbMATH Keywords: no-slip boundary condition
zbMATH Keywords: cavity with free upper surface
reviewed by: V. M. Soundalgekar
MaRDI profile type: Publication
full work available at URL: 0017-9310(87)90005-6
OpenAlex ID: W2037507708
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description: scientific article; zbMATH DE number 4018667