Transient free convection about a vertical flat plate embedded in a porous medium
type: Item
instance of: scholarly article
title: Transient free convection about a vertical flat plate embedded in a porous medium
zbMATH Open document ID: 0539.76088
DOI: 10.1016/0020-7225(84)90006-5
author: Ping Cheng
author: Ioan Pop
published in: International Journal of Engineering Science
publication date: 1984-01-01T00:00:00Z
review text: The authors adopt the boundary layer equations for a Darcian fluid and they assume a representation of temperature by means of the complementary error function depending on the nondimensional boundary layer thickness \(\Delta\). This yields a hyperbolic partial differential equation for \(\Delta\) which is solved (a) by use of the method of characteristics and (b) approximately by use of an integral method. This is carried out for a step increase in the spatially constant wall temperature or wall heat flux. Authors discuss results for the transient change of \(\Delta\) and the approach of the steady state.
Mathematics Subject Classification ID: 76R05
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 3858737
zbMATH Keywords: transient
zbMATH Keywords: boundary layer equations
zbMATH Keywords: Darcian fluid
zbMATH Keywords: complementary error function
zbMATH Keywords: nondimensional boundary layer thickness
zbMATH Keywords: hyperbolic partial differential equation
zbMATH Keywords: method of characteristics
zbMATH Keywords: integral method
zbMATH Keywords: step increase
zbMATH Keywords: spatially constant wall temperature
zbMATH Keywords: wall heat flux
MaRDI profile type: Publication
full work available at URL: 0020-7225(84)90006-5
OpenAlex ID: W2034604022
cites work: Possible similarity solutions for free convection boundary layers adjacent to flat plates in porous media
cites work: Flow past a suddenly cooled vertical flat surface in a saturated porous medium
cites work: Approximate solution of the transient free convection laminar boundary layer equations
cites work: Nonsteady flow of non-Newtonian fluids through a porous medium
cites work: Transient free convection on an isothermal vertical flat plate
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description: scientific article; zbMATH DE number 3858737