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Article: Unsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surface

TitleUnsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surface
Authors
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
Citation
Communications In Nonlinear Science And Numerical Simulation, 2012, v. 17 n. 11, p. 4163-4173 How to Cite?
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.
Persistent Identifierhttp://hdl.handle.net/10722/148837
ISSN
2014 Impact Factor: 2.866
2014 SCImago Journal Rankings: 1.461
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorVajravelu, Ken_HK
dc.contributor.authorPrasad, KVen_HK
dc.contributor.authorNg, COen_HK
dc.date.accessioned2012-06-11T03:13:35Z-
dc.date.available2012-06-11T03:13:35Z-
dc.date.issued2012en_HK
dc.identifier.citationCommunications In Nonlinear Science And Numerical Simulation, 2012, v. 17 n. 11, p. 4163-4173en_HK
dc.identifier.issn1007-5704en_HK
dc.identifier.urihttp://hdl.handle.net/10722/148837-
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.en_HK
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsnsen_HK
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulationen_HK
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 transferen_HK
dc.subjectNumerical methoden_HK
dc.subjectPower-law fluiden_HK
dc.subjectThin film flowen_HK
dc.subjectVariable fluid propertyen_HK
dc.subjectViscous dissipationen_HK
dc.titleUnsteady flow and heat transfer in a thin film of Ostwald-de Waele liquid over a stretching surfaceen_HK
dc.typeArticleen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.cnsns.2012.01.027en_HK
dc.identifier.scopuseid_2-s2.0-84861716335en_HK
dc.identifier.hkuros200009-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84861716335&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume17en_HK
dc.identifier.issue11en_HK
dc.identifier.spage4163en_HK
dc.identifier.epage4173en_HK
dc.identifier.isiWOS:000306199300016-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridVajravelu, K=7005653243en_HK
dc.identifier.scopusauthoridPrasad, KV=35587358100en_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.citeulike10400308-

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