Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods

Multidimensional Laplace transformations are used to obtain the surface temperature and the surface heat flux of a plate with a fluid flowing across it without solving the complete boundary value problem. It is also shown that the constant initial and boundary values can be relaxed and the method st...

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Main Author: R. G. Buschman
Format: Article
Language:English
Published: Wiley 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000538
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author R. G. Buschman
author_facet R. G. Buschman
author_sort R. G. Buschman
collection DOAJ
description Multidimensional Laplace transformations are used to obtain the surface temperature and the surface heat flux of a plate with a fluid flowing across it without solving the complete boundary value problem. It is also shown that the constant initial and boundary values can be relaxed and the method still applies. The solution to the boundary value problem at points away from the surface can be treated similarly
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1983-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-17c1175a22d340c083d1f2da17b88a662025-02-03T06:44:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016358959610.1155/S0161171283000538Heat transfer between a fluid and a plate: multidimensional Laplace transformation methodsR. G. Buschman0Department of Mathematics, University of Wyoming, Box 3036, University Station, Laramie 82071, WY, USAMultidimensional Laplace transformations are used to obtain the surface temperature and the surface heat flux of a plate with a fluid flowing across it without solving the complete boundary value problem. It is also shown that the constant initial and boundary values can be relaxed and the method still applies. The solution to the boundary value problem at points away from the surface can be treated similarlyhttp://dx.doi.org/10.1155/S0161171283000538multidimensional Laplace transformationboundary value problemsheat transferscompatability conditionserror functions.
spellingShingle R. G. Buschman
Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
International Journal of Mathematics and Mathematical Sciences
multidimensional Laplace transformation
boundary value problems
heat transfers
compatability conditions
error functions.
title Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
title_full Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
title_fullStr Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
title_full_unstemmed Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
title_short Heat transfer between a fluid and a plate: multidimensional Laplace transformation methods
title_sort heat transfer between a fluid and a plate multidimensional laplace transformation methods
topic multidimensional Laplace transformation
boundary value problems
heat transfers
compatability conditions
error functions.
url http://dx.doi.org/10.1155/S0161171283000538
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