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Article: Heat transfer over a nonlinearly stretching sheet with non-uniform heat source and variable wall temperature

TitleHeat transfer over a nonlinearly stretching sheet with non-uniform heat source and variable wall temperature
Authors
KeywordsHeat transfer
Non-uniform heat source
Nonlinear stretching
Skin friction
Variable wall temperature
Issue Date2011
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt
Citation
International Journal Of Heat And Mass Transfer, 2011, v. 54 n. 23-24, p. 4960-4965 How to Cite?
AbstractIn this paper we study the flow and heat transfer characteristics of a viscous fluid over a nonlinearly stretching sheet in the presence of non-uniform heat source and variable wall temperature. A similarity transformation is used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme is used to obtain the solution of the boundary value problem. The effects of various parameters (such as the power law index n, the Prandtl number Pr, the wall temperature parameter λ, the space dependent heat source parameter A* and the temperature dependent heat source parameter B*) on the heat transfer characteristics are analyzed. The numerical results for the heat transfer coefficient (the Nusselt number) are presented for several sets of values of the parameters and are discussed. The results reveal many interesting behaviors that warrant further study on the effects of non-uniform heat source and the variable wall temperature on the heat transfer phenomena at the nonlinear stretching sheet. © 2011 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/139377
ISSN
2015 Impact Factor: 2.857
2015 SCImago Journal Rankings: 1.749
ISI Accession Number ID
Funding AgencyGrant Number
University Grants Commission, New-Delhi, India39-59/2010(SR)
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 715510E
Funding Information:

The authors are thankful to the reviewers for their insightful reviews, invaluable comments and suggestions, which have helped improvement of this article. Dr. Mahantesh M. Nandeppanavar would like to thank University Grants Commission, New-Delhi, India for supporting this work under Major Research Project [Grant No. 39-59/2010(SR)]. Dr. Chiu-On Ng would like to thank the support by the Research Grants Council of the Hong Kong Special Administrative Region, China, through Project No. HKU 715510E.

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorNandeppanavar, MMen_HK
dc.contributor.authorVajravelu, Ken_HK
dc.contributor.authorAbel, MSen_HK
dc.contributor.authorNg, COen_HK
dc.date.accessioned2011-09-23T05:49:00Z-
dc.date.available2011-09-23T05:49:00Z-
dc.date.issued2011en_HK
dc.identifier.citationInternational Journal Of Heat And Mass Transfer, 2011, v. 54 n. 23-24, p. 4960-4965en_HK
dc.identifier.issn0017-9310en_HK
dc.identifier.urihttp://hdl.handle.net/10722/139377-
dc.description.abstractIn this paper we study the flow and heat transfer characteristics of a viscous fluid over a nonlinearly stretching sheet in the presence of non-uniform heat source and variable wall temperature. A similarity transformation is used to transform the governing partial differential equations to a system of nonlinear ordinary differential equations. An efficient numerical shooting technique with a fourth-order Runge-Kutta scheme is used to obtain the solution of the boundary value problem. The effects of various parameters (such as the power law index n, the Prandtl number Pr, the wall temperature parameter λ, the space dependent heat source parameter A* and the temperature dependent heat source parameter B*) on the heat transfer characteristics are analyzed. The numerical results for the heat transfer coefficient (the Nusselt number) are presented for several sets of values of the parameters and are discussed. The results reveal many interesting behaviors that warrant further study on the effects of non-uniform heat source and the variable wall temperature on the heat transfer phenomena at the nonlinear stretching sheet. © 2011 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmten_HK
dc.relation.ispartofInternational Journal of Heat and Mass Transferen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Heat and Mass Transfer, 2011, v. 54 n. 23-24, p. 4960-4965. DOI: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2011.07.009-
dc.subjectHeat transferen_HK
dc.subjectNon-uniform heat sourceen_HK
dc.subjectNonlinear stretchingen_HK
dc.subjectSkin frictionen_HK
dc.subjectVariable wall temperatureen_HK
dc.titleHeat transfer over a nonlinearly stretching sheet with non-uniform heat source and variable wall temperatureen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0017-9310&volume=54&issue=23-24&spage=4960&epage=4965&date=2011&atitle=Heat+transfer+over+a+nonlinearly+stretching+sheet+with+non-uniform+heat+source+and+variable+wall+temperature-
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.ijheatmasstransfer.2011.07.009en_HK
dc.identifier.scopuseid_2-s2.0-80052146314en_HK
dc.identifier.hkuros193807en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80052146314&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume54en_HK
dc.identifier.issue23-24en_HK
dc.identifier.spage4960en_HK
dc.identifier.epage4965en_HK
dc.identifier.isiWOS:000295115900020-
dc.publisher.placeUnited Kingdomen_HK
dc.relation.projectElectrohydrodynamic slip flow through a channel with micropatterned surfaces-
dc.identifier.scopusauthoridNandeppanavar, MM=15835180100en_HK
dc.identifier.scopusauthoridVajravelu, K=7005653243en_HK
dc.identifier.scopusauthoridAbel, MS=7102113564en_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.citeulike9628289-

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