State space approach to unsteady free convection flow through a porous medium
type: Item
instance of: scholarly article
title: State space approach to unsteady free convection flow through a porous medium
zbMATH Open document ID: 0810.76080
DOI: 10.1016/0096-3003(94)90063-9
author: M. A. Ezzat
published in: Applied Mathematics and Computation
publication date: 1994-12-08T00:00:00Z
review text: The method of the matrix exponential, which constitutes the basis of the state space approach of modern control theory, is applied to the nondimensional equations of unsteady free convection boundary layer flow through a porous medium bounded by an infinite vertical plate. The formulation is valid for one-dimensional problems with or without heat sources. The resulting formulation together with the Laplace transform technique is applied to a variety of problems. The solutions to a thermal shock problem and to a problem for the flow between two parallel fixed plates, both without heat sources, are obtained. Also a problem with a distribution of heat sources is considered.
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 700390
zbMATH Keywords: matrix exponential
zbMATH Keywords: infinite vertical plate
zbMATH Keywords: Laplace transform
zbMATH Keywords: thermal shock problem
MaRDI profile type: Publication
full work available at URL: 0096-3003(94)90063-9
OpenAlex ID: W2012395016
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description: scientific article; zbMATH DE number 700390