Reduced-order modeling of low mach number unsteady microchannel flows

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dc.contributor.author Issa, Leila
dc.contributor.author Lakkis, Issam
dc.date.accessioned 2016-03-22T08:38:35Z
dc.date.available 2016-03-22T08:38:35Z
dc.date.copyright 2014
dc.date.issued 2016-03-22
dc.identifier.issn 0098-2202 en_US
dc.identifier.uri http://hdl.handle.net/10725/3383
dc.description.abstract We 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. en_US
dc.language.iso en en_US
dc.title Reduced-order modeling of low mach number unsteady microchannel flows en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 201105273 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Journal of Fluids Engineering en_US
dc.journal.volume 136 en_US
dc.journal.issue 5 en_US
dc.article.pages 051201-1-051201-9 en_US
dc.identifier.doi http://dx.doi.org/10.1115/1.4026199 en_US
dc.identifier.ctation Issa, L., & Lakkis, I. (2014). Reduced-order modeling of low mach number unsteady microchannel flows. Journal of Fluids Engineering, 136(5), 051201. en_US
dc.author.email leila.issa@lau.edu.lb
dc.identifier.url http://fluidsengineering.asmedigitalcollection.asme.org/article.aspx?articleid=1789172
dc.orcid.id https://orcid.org/0000-0002-7417-560X en_US

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