Cooling of a plate with general boundary conditions

We consider steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies the general mixed boundary conditions. The Wiener-Hopf method has been used to obtain the solution...

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Main Authors: F. D. Zaman, R. Al-Khairy
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171200002660
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author F. D. Zaman
R. Al-Khairy
author_facet F. D. Zaman
R. Al-Khairy
author_sort F. D. Zaman
collection DOAJ
description We consider steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies the general mixed boundary conditions. The Wiener-Hopf method has been used to obtain the solution in the infinite series form and some special cases have been discussed.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2000-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-da20daffdd324780906268165f8c92fe2025-02-03T00:59:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123747748510.1155/S0161171200002660Cooling of a plate with general boundary conditionsF. D. Zaman0R. Al-Khairy1Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, Dammam College of Girls, Dammam, Saudi ArabiaWe consider steady state temperature distribution in a homogeneous rectangular infinite plate the lower part of which is cooled by a fluid flowing at a constant velocity while the upper part satisfies the general mixed boundary conditions. The Wiener-Hopf method has been used to obtain the solution in the infinite series form and some special cases have been discussed.http://dx.doi.org/10.1155/S0161171200002660Heat equationcooling of platesWiener-Hopf method.
spellingShingle F. D. Zaman
R. Al-Khairy
Cooling of a plate with general boundary conditions
International Journal of Mathematics and Mathematical Sciences
Heat equation
cooling of plates
Wiener-Hopf method.
title Cooling of a plate with general boundary conditions
title_full Cooling of a plate with general boundary conditions
title_fullStr Cooling of a plate with general boundary conditions
title_full_unstemmed Cooling of a plate with general boundary conditions
title_short Cooling of a plate with general boundary conditions
title_sort cooling of a plate with general boundary conditions
topic Heat equation
cooling of plates
Wiener-Hopf method.
url http://dx.doi.org/10.1155/S0161171200002660
work_keys_str_mv AT fdzaman coolingofaplatewithgeneralboundaryconditions
AT ralkhairy coolingofaplatewithgeneralboundaryconditions