On the spatial stability of free-convection flows in a saturated porous medium
type: Item
instance of: scholarly article
title: On the spatial stability of free-convection flows in a saturated porous medium
zbMATH Open document ID: 0609.76092
DOI: 10.1007/BF00127692
author: W. H. H. Banks
author: M. B. Zaturska
published in: Journal of Engineering Mathematics
publication date: 1987-01-01T00:00:00Z
review text: We consider the free-convection boundary-layer flow in a saturated porous medium adjacent to an impermeable vertical surface. It is assumed that the surface is supplying heat to the porous medium in a prescribed way, which varies along the surface. The problem, which relates to the spatial stability of the known similarity solutions of the boundary-layer equations, is formulated and certain analytical results are presented for special cases. For this special class of flows we are able to determine analytically the first eigenvalue for all relevant parameter values and thereby show that such flows are spatially stable.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 3986927
zbMATH Keywords: free-convection boundary-layer flow
zbMATH Keywords: saturated porous medium
zbMATH Keywords: impermeable vertical surface
zbMATH Keywords: stability
zbMATH Keywords: similarity solutions
zbMATH Keywords: boundary-layer equations
zbMATH Keywords: eigenvalue
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00127692
OpenAlex ID: W2036011372
description: scientific article; zbMATH DE number 3986927