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Article: Unsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surface
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TitleUnsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surface
 
AuthorsVajravelu, K3
Prasad, KV2
Ng, CO1
 
KeywordsHeat transfer
Numerical method
Power-law fluid
Thin film flow
Variable fluid property
Viscous dissipation
 
Issue Date2012
 
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns
 
CitationCommunications In Nonlinear Science And Numerical Simulation, 2012, v. 17 n. 11, p. 4163-4173 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.cnsns.2012.01.027
 
AbstractIn this paper, the effects of viscous dissipation and the temperature-dependent thermal conductivity on an unsteady flow and heat transfer in a thin liquid film of a non-Newtonian Ostwald-de Waele fluid over a horizontal porous stretching surface is studied. Using a similarity transformation, the time-dependent boundary-layer equations are reduced to a set of non-linear ordinary differential equations. The resulting five parameter problem is solved by the Keller-Box method. The effects of the unsteady parameter on the film thickness are explored numerically for different values of the power-law index parameter and the injection parameter. Numerical results for the velocity, the temperature, the skin friction and the wall-temperature gradient are presented through graphs and tables for different values of the pertinent parameter. One of the important findings of the study is that the film thickness increases with an increase in the power-law index parameter (as well as the injection parameter). Quite the opposite is true with the unsteady parameter. Furthermore, the wall-temperature gradient decreases with an increase in the Eckert number or the variable thermal conductivity parameter. Furthermore, the surface temperature of a shear thinning fluid is larger compared to the Newtonian and shear thickening fluids. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. © 2012 Elsevier B.V.
 
ISSN1007-5704
2013 Impact Factor: 2.569
2013 SCImago Journal Rankings: 1.609
 
DOIhttp://dx.doi.org/10.1016/j.cnsns.2012.01.027
 
ISI Accession Number IDWOS:000306199300016
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorVajravelu, K
 
dc.contributor.authorPrasad, KV
 
dc.contributor.authorNg, CO
 
dc.date.accessioned2012-06-11T03:13:35Z
 
dc.date.available2012-06-11T03:13:35Z
 
dc.date.issued2012
 
dc.description.abstractIn this paper, the effects of viscous dissipation and the temperature-dependent thermal conductivity on an unsteady flow and heat transfer in a thin liquid film of a non-Newtonian Ostwald-de Waele fluid over a horizontal porous stretching surface is studied. Using a similarity transformation, the time-dependent boundary-layer equations are reduced to a set of non-linear ordinary differential equations. The resulting five parameter problem is solved by the Keller-Box method. The effects of the unsteady parameter on the film thickness are explored numerically for different values of the power-law index parameter and the injection parameter. Numerical results for the velocity, the temperature, the skin friction and the wall-temperature gradient are presented through graphs and tables for different values of the pertinent parameter. One of the important findings of the study is that the film thickness increases with an increase in the power-law index parameter (as well as the injection parameter). Quite the opposite is true with the unsteady parameter. Furthermore, the wall-temperature gradient decreases with an increase in the Eckert number or the variable thermal conductivity parameter. Furthermore, the surface temperature of a shear thinning fluid is larger compared to the Newtonian and shear thickening fluids. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. © 2012 Elsevier B.V.
 
dc.description.naturepostprint
 
dc.identifier.citationCommunications In Nonlinear Science And Numerical Simulation, 2012, v. 17 n. 11, p. 4163-4173 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.cnsns.2012.01.027
 
dc.identifier.citeulike10400308
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.cnsns.2012.01.027
 
dc.identifier.epage4173
 
dc.identifier.hkuros200009
 
dc.identifier.isiWOS:000306199300016
 
dc.identifier.issn1007-5704
2013 Impact Factor: 2.569
2013 SCImago Journal Rankings: 1.609
 
dc.identifier.issue11
 
dc.identifier.scopuseid_2-s2.0-84861716335
 
dc.identifier.spage4163
 
dc.identifier.urihttp://hdl.handle.net/10722/148837
 
dc.identifier.volume17
 
dc.languageeng
 
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns
 
dc.publisher.placeNetherlands
 
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
 
dc.relation.referencesReferences in Scopus
 
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Communications in Nonlinear Science and Numerical Simulation. 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 Communications in Nonlinear Science and Numerical Simulation, 2012, v. 17 n. 11, p. 4163-4173. DOI: 10.1016/j.cnsns.2012.01.027
 
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License
 
dc.subjectHeat transfer
 
dc.subjectNumerical method
 
dc.subjectPower-law fluid
 
dc.subjectThin film flow
 
dc.subjectVariable fluid property
 
dc.subjectViscous dissipation
 
dc.titleUnsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surface
 
dc.typeArticle
 
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<subject>Heat transfer</subject>
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Author Affiliations
  1. The University of Hong Kong
  2. Bangalore University
  3. University of Central Florida