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Article: A thermal non-equilibrium model with Cattaneo effect for convection in a Brinkman porous layer

TitleA thermal non-equilibrium model with Cattaneo effect for convection in a Brinkman porous layer
Authors
Issue Date2015
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/nlm
Citation
International Journal of Non-Linear Mechanics, 2015, v. 71, p. 39-47 How to Cite?
AbstractThis paper aims to investigate the onset of thermal convection in a layer of fluid-saturated Brinkman porous medium taking into account fluid inertia and local thermal non-equilibrium (LTNE) between the solid and fluid phases with Cattaneo effect in the solid. A two-field model is used for the energy equations each representing the solid and fluid phases separately. The usual Fourier heat-transfer law is retained in the fluid phase while the solid phase is allowed to transfer heat via a Cattaneo heat flux theory. It is observed that the Cattaneo effect has a profound influence on the nature of convective instability. In contrast to the standard Brinkman convection with LTNE model, instability is found to occur through oscillatory convection depending on the value of solid thermal relaxation time parameter which in turn depends on other parametric values. The instability characteristics of the system are analyzed in detail for a wide range of parametric values including those for copper oxide and aluminium oxide solid skeletons.
Persistent Identifierhttp://hdl.handle.net/10722/208694
ISSN
2015 Impact Factor: 1.92
2015 SCImago Journal Rankings: 1.211

 

DC FieldValueLanguage
dc.contributor.authorShivakumara, IS-
dc.contributor.authorRavisha, M-
dc.contributor.authorNg, CO-
dc.contributor.authorVarun, VL-
dc.date.accessioned2015-03-18T09:05:02Z-
dc.date.available2015-03-18T09:05:02Z-
dc.date.issued2015-
dc.identifier.citationInternational Journal of Non-Linear Mechanics, 2015, v. 71, p. 39-47-
dc.identifier.issn0020-7462-
dc.identifier.urihttp://hdl.handle.net/10722/208694-
dc.description.abstractThis paper aims to investigate the onset of thermal convection in a layer of fluid-saturated Brinkman porous medium taking into account fluid inertia and local thermal non-equilibrium (LTNE) between the solid and fluid phases with Cattaneo effect in the solid. A two-field model is used for the energy equations each representing the solid and fluid phases separately. The usual Fourier heat-transfer law is retained in the fluid phase while the solid phase is allowed to transfer heat via a Cattaneo heat flux theory. It is observed that the Cattaneo effect has a profound influence on the nature of convective instability. In contrast to the standard Brinkman convection with LTNE model, instability is found to occur through oscillatory convection depending on the value of solid thermal relaxation time parameter which in turn depends on other parametric values. The instability characteristics of the system are analyzed in detail for a wide range of parametric values including those for copper oxide and aluminium oxide solid skeletons.-
dc.languageeng-
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/nlm-
dc.relation.ispartofInternational Journal of Non-Linear Mechanics-
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Non-Linear Mechanics. 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 Non-Linear Mechanics, 2015, v. 71, p. 39-47. DOI: 10.1016/j.ijnonlinmec.2015.01.007-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleA thermal non-equilibrium model with Cattaneo effect for convection in a Brinkman porous layer-
dc.typeArticle-
dc.identifier.emailNg, CO: cong@hku.hk-
dc.identifier.authorityNg, CO=rp00224-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.ijnonlinmec.2015.01.007-
dc.identifier.hkuros242587-
dc.identifier.volume71-
dc.identifier.spage39-
dc.identifier.epage47-
dc.publisher.placeUnited Kingdom-

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