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Article: Stability of fluid flow in a Brinkman porous medium - a numerical study

TitleStability of fluid flow in a Brinkman porous medium - a numerical study
Authors
KeywordsBrinkman model
Chebyshev collocation method
hydrodynamic stability
modified Orr-Sommerfeld equation
Issue Date2014
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/wps/find/journaldescription.cws_home/709740/description#description
Citation
Journal of Hydrodynamics, 2014, v. 26 n. 5, p. 681-688 How to Cite?
AbstractThe stability of fluid flow in a horizontal layer of Brinkman porous medium with fluid viscosity different from effective viscosity is investigated. A modified Orr-Sommerfeld equation is derived and solved numerically using the Chebyshev collocation method. The critical Reynolds number Rec, the critical wave number αc and the critical wave speed cc are computed for various values of porous parameter and ratio of viscosities. Based on these parameters, the stability characteristics of the system are discussed in detail. Streamlines are presented for selected values of parameters at their critical state.
Persistent Identifierhttp://hdl.handle.net/10722/208222
ISSN
2021 Impact Factor: 2.983
2020 SCImago Journal Rankings: 0.770
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorShankar, BM-
dc.contributor.authorKumar, J-
dc.contributor.authorShivakumara, IS-
dc.contributor.authorNg, CO-
dc.date.accessioned2015-02-23T08:09:00Z-
dc.date.available2015-02-23T08:09:00Z-
dc.date.issued2014-
dc.identifier.citationJournal of Hydrodynamics, 2014, v. 26 n. 5, p. 681-688-
dc.identifier.issn1001-6058-
dc.identifier.urihttp://hdl.handle.net/10722/208222-
dc.description.abstractThe stability of fluid flow in a horizontal layer of Brinkman porous medium with fluid viscosity different from effective viscosity is investigated. A modified Orr-Sommerfeld equation is derived and solved numerically using the Chebyshev collocation method. The critical Reynolds number Rec, the critical wave number αc and the critical wave speed cc are computed for various values of porous parameter and ratio of viscosities. Based on these parameters, the stability characteristics of the system are discussed in detail. Streamlines are presented for selected values of parameters at their critical state.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/wps/find/journaldescription.cws_home/709740/description#description-
dc.relation.ispartofJournal of Hydrodynamics-
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Hydrodynamics. 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 Journal of Hydrodynamics, 2014, v. 26 n. 5, p. 681-688. DOI:10.1016/S1001-6058(14)60076-7-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectBrinkman model-
dc.subjectChebyshev collocation method-
dc.subjecthydrodynamic stability-
dc.subjectmodified Orr-Sommerfeld equation-
dc.titleStability of fluid flow in a Brinkman porous medium - a numerical study-
dc.typeArticle-
dc.identifier.emailNg, CO: cong@hku.hk-
dc.identifier.authorityNg, CO=rp00224en_US
dc.description.naturepostprint-
dc.identifier.doi10.1016/S1001-6058(14)60076-7-
dc.identifier.scopuseid_2-s2.0-84910127159-
dc.identifier.hkuros242271-
dc.identifier.volume26-
dc.identifier.issue5-
dc.identifier.spage681-
dc.identifier.epage688-
dc.identifier.isiWOS:000344126200002-
dc.publisher.placeNetherlands-
dc.identifier.issnl1001-6058-

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