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Article: Thermal convective instability in an Oldroyd-B nanofluid saturated porous layer

TitleThermal convective instability in an Oldroyd-B nanofluid saturated porous layer
Authors
Issue Date2015
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt
Citation
International Journal of Heat and Mass Transfer, 2015, v. 84, p. 167-177 How to Cite?
AbstractThe onset of convective instability in a layer of porous medium saturated by the Oldroyd-B viscoelastic nanofluid heated from below is investigated by incorporating the effects of Brownian diffusion and thermophoresis. The flux of volume fraction of nanoparticles is taken to be zero on the boundaries. The resulting eigenvalue problem is solved numerically using the Galerkin method. The onset of convective instability is oscillatory only if the strain retardation parameter is less than the stress relaxation parameter and also when the strain retardation parameter does not exceed a threshold value which in turn depends on other physical parameters. The oscillatory onset is delayed with increasing strain retardation parameter, while an opposite trend is noticed with increasing stress relaxation parameter. The effect of increasing modified diffusivity ratio, concentration Darcy–Rayleigh number, modified particle density increment and Lewis number is to hasten the onset of stationary and oscillatory convection and also to decrease the ranges of the strain retardation parameter within which oscillatory convection is preferred.
Persistent Identifierhttp://hdl.handle.net/10722/208223
ISSN
2015 Impact Factor: 2.857
2015 SCImago Journal Rankings: 1.749

 

DC FieldValueLanguage
dc.contributor.authorShivakumara, IS-
dc.contributor.authorDhananjaya, M-
dc.contributor.authorNg, CO-
dc.date.accessioned2015-02-23T08:09:00Z-
dc.date.available2015-02-23T08:09:00Z-
dc.date.issued2015-
dc.identifier.citationInternational Journal of Heat and Mass Transfer, 2015, v. 84, p. 167-177-
dc.identifier.issn0017-9310-
dc.identifier.urihttp://hdl.handle.net/10722/208223-
dc.description.abstractThe onset of convective instability in a layer of porous medium saturated by the Oldroyd-B viscoelastic nanofluid heated from below is investigated by incorporating the effects of Brownian diffusion and thermophoresis. The flux of volume fraction of nanoparticles is taken to be zero on the boundaries. The resulting eigenvalue problem is solved numerically using the Galerkin method. The onset of convective instability is oscillatory only if the strain retardation parameter is less than the stress relaxation parameter and also when the strain retardation parameter does not exceed a threshold value which in turn depends on other physical parameters. The oscillatory onset is delayed with increasing strain retardation parameter, while an opposite trend is noticed with increasing stress relaxation parameter. The effect of increasing modified diffusivity ratio, concentration Darcy–Rayleigh number, modified particle density increment and Lewis number is to hasten the onset of stationary and oscillatory convection and also to decrease the ranges of the strain retardation parameter within which oscillatory convection is preferred.-
dc.languageeng-
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijhmt-
dc.relation.ispartofInternational Journal of Heat and Mass Transfer-
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, 2015, v. 84, p. 167-177. DOI: 10.1016/j.ijheatmasstransfer.2015.01.010-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleThermal convective instability in an Oldroyd-B nanofluid saturated porous layer-
dc.typeArticle-
dc.identifier.emailNg, CO: cong@hku.hk-
dc.identifier.authorityNg, CO=rp00224en_US
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.ijheatmasstransfer.2015.01.010-
dc.identifier.hkuros242272-
dc.identifier.volume84-
dc.identifier.spage167-
dc.identifier.epage177-
dc.publisher.placeUnited Kingdom-

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