Reduced-order modeling of low mach number unsteady microchannel flows

Simple item page
dc.contributor.authorIssa, Leila
dc.contributor.authorLakkis, Issam A.
dc.contributor.departmentDepartment of Mechanical Engineering
dc.contributor.facultyMaroun Semaan Faculty of Engineering and Architecture (MSFEA)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:32:00Z
dc.date.available2025-01-24T11:32:00Z
dc.date.issued2014
dc.description.abstractWe present reduced-order models of unsteady low-Mach-number ideal gas flows in two-dimensional rectangular microchannels subject to first-order slip-boundary conditions. The pressure and density are related by a polytropic process, allowing for isothermal or isentropic flow assumptions. The Navier-Stokes equations are simplified using low-Mach-number expansions of the pressure and velocity fields. Up to first order, this approximation results in a system that is subject to no-slip condition at the solid boundary. The second-order system satisfies the slip-boundary conditions. The resulting equations and the subsequent pressure-flow-rate relationships enable modeling the flow using analog circuit components. The accuracy of the proposed models is investigated for steady and unsteady flows in a two-dimensional channel for different values of Mach and Knudsen numbers. Copyright © 2014 by ASME.
dc.identifier.doihttps://doi.org/10.1115/1.4026199
dc.identifier.eid2-s2.0-84896745670
dc.identifier.urihttp://hdl.handle.net/10938/27643
dc.language.isoen
dc.relation.ispartofJournal of Fluids Engineering, Transactions of the ASME
dc.sourceScopus
dc.subjectBoundary conditions
dc.subjectChannel flow
dc.subjectMicrochannels
dc.subjectNavier stokes equations
dc.subjectVelocity
dc.subjectApproximation results
dc.subjectCircuit components
dc.subjectPolytropic process
dc.subjectReduced order models
dc.subjectSecond-order systemss
dc.subjectSlip boundary conditions
dc.subjectTwo dimensional channels
dc.subjectTwo-dimensional rectangular
dc.subjectMach number
dc.titleReduced-order modeling of low mach number unsteady microchannel flows
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2014-5293.pdf
Size:
1.23 MB
Format:
Adobe Portable Document Format
Download

Collections

Department of Mechanical Engineering