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System-level modeling of microflows in circular and rectangular channels

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dc.contributor.author Lakkis I.A.
dc.contributor.editor
dc.date 2008
dc.date.accessioned 2017-10-04T11:16:07Z
dc.date.available 2017-10-04T11:16:07Z
dc.date.issued 2008
dc.identifier 10.1115/ICNMM2008-62159
dc.identifier.isbn 0791848345
dc.identifier.isbn 9780791848340
dc.identifier.issn
dc.identifier.uri http://hdl.handle.net/10938/15073
dc.description.abstract System-level models for unsteady, incompressible, low Reynolds number flow in channels of slightly varying cross sections of different geometries are presented. The models are based on approximate solution of the unsteady Navier-Stokes equation subject to no-slip and first-order slip boundary conditions. The proposed model, relating the volume rate to the average pressure drop across the channel, is cast into an electric circuit model that consists essentially of an infinite number of parallel branches in series with a resistor and a nonlinear component. The resistor and the nonlinear element in series account respectively for viscous dissipation in the direction of the flow and for the convective part of the inertia term. The set of parallel branches captures the unsteady behavior as well as viscous dissipation normal to flow direction. Previous channel models available in the literature proved to be a special case of the models proposed in this paper at steady state or in the limit of vanishing Reynolds number. The proposed models offer superior accuracy when transient behavior and associated dynamic characteristics are of interest. The models also become more accurate for flows in slightly divergent channels, flows at larger Reynolds number, and in flows that experience sudden changes or that are subjected to forced oscillations with large values of the Strouhal number. The proposed models are flexible in the sense that accuracy and cost can be easily traded by increasing or decreasing the number of branches included in the model. The derived models are compared with previous models and with numerical solutions of the full Navier-Stokes equations. Copyright © 2008 by ASME.
dc.format.extent
dc.format.extent Pages: (1159-1170)
dc.language English
dc.relation.ispartof Publication Name: Proceedings of the 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008; Conference Title: 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008; Conference Date: 23 June 2008 through 25 June 2008; Conference Location: Darmstadt; Publication Year: 2008; Pages: (1159-1170);
dc.relation.ispartofseries
dc.relation.uri
dc.source Scopus
dc.subject.other
dc.title System-level modeling of microflows in circular and rectangular channels
dc.type Conference Paper
dc.contributor.affiliation Lakkis, I.A., Department of Mechanical Engineering, American University of Beirut, Beirut, Lebanon
dc.contributor.authorAddress Lakkis, I. A.; Department of Mechanical Engineering, American University of Beirut, Beirut, Lebanon; email: issam.lakkis@aub.edu.lb
dc.contributor.authorCorporate University: American University of Beirut; Faculty: Faculty of Engineering and Architecture; Department: Mechanical Engineering;
dc.contributor.authorDepartment Mechanical Engineering
dc.contributor.authorDivision
dc.contributor.authorEmail
dc.contributor.authorFaculty Faculty of Engineering and Architecture
dc.contributor.authorInitials
dc.contributor.authorOrcidID
dc.contributor.authorReprintAddress
dc.contributor.authorResearcherID
dc.contributor.authorUniversity American University of Beirut
dc.description.cited
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dc.format.extentCount 12
dc.identifier.articleNo
dc.identifier.coden
dc.identifier.pubmedID
dc.identifier.scopusID 77952627634
dc.identifier.url
dc.publisher.address
dc.relation.ispartofConference Conference Title: 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008 : Conference Date: 23 June 2008 through 25 June 2008 , Conference Location: Darmstadt.
dc.relation.ispartofConferenceCode 80365
dc.relation.ispartofConferenceDate 23 June 2008 through 25 June 2008
dc.relation.ispartofConferenceHosting
dc.relation.ispartofConferenceLoc Darmstadt
dc.relation.ispartofConferenceSponsor ASME
dc.relation.ispartofConferenceTitle 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008
dc.relation.ispartofFundingAgency
dc.relation.ispartOfISOAbbr
dc.relation.ispartOfIssue
dc.relation.ispartOfPart
dc.relation.ispartofPubTitle Proceedings of the 6th International Conference on Nanochannels, Microchannels, and Minichannels, ICNMM2008
dc.relation.ispartofPubTitleAbbr Proc. Int. Conf. Nanochannels, Microchannels, Minichannels, ICNMM
dc.relation.ispartOfSpecialIssue
dc.relation.ispartOfSuppl
dc.relation.ispartOfVolume
dc.source.ID
dc.type.publication Series
dc.subject.otherAuthKeyword
dc.subject.otherChemCAS
dc.subject.otherIndex Approximate solution
dc.subject.otherIndex Channel model
dc.subject.otherIndex Different geometry
dc.subject.otherIndex Divergent channel
dc.subject.otherIndex Dynamic characteristics
dc.subject.otherIndex Electric circuit model
dc.subject.otherIndex First-order
dc.subject.otherIndex Flow direction
dc.subject.otherIndex Forced oscillations
dc.subject.otherIndex Infinite numbers
dc.subject.otherIndex Low Reynolds number flow
dc.subject.otherIndex Microflows
dc.subject.otherIndex Nonlinear components
dc.subject.otherIndex Nonlinear elements
dc.subject.otherIndex Numerical solution
dc.subject.otherIndex Rectangular channel
dc.subject.otherIndex Slip boundary conditions
dc.subject.otherIndex Steady state
dc.subject.otherIndex Sudden change
dc.subject.otherIndex System-level modeling
dc.subject.otherIndex System-level models
dc.subject.otherIndex Transient behavior
dc.subject.otherIndex Varying cross section
dc.subject.otherIndex Viscous dissipation
dc.subject.otherIndex Volume rate
dc.subject.otherIndex Dispensers
dc.subject.otherIndex Forced convection
dc.subject.otherIndex Microchannels
dc.subject.otherIndex Numerical analysis
dc.subject.otherIndex Parallel flow
dc.subject.otherIndex Resistors
dc.subject.otherIndex Reynolds number
dc.subject.otherIndex Viscous flow
dc.subject.otherIndex Navier Stokes equations
dc.subject.otherKeywordPlus
dc.subject.otherWOS


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