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Perturbation-based simplified models for unsteady incompressible microchannel flows

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dc.contributor.author Issa, Leila
dc.date.accessioned 2018-05-02T09:22:26Z
dc.date.available 2018-05-02T09:22:26Z
dc.date.copyright 2016 en_US
dc.identifier.issn 1872-848 en_US
dc.identifier.uri http://hdl.handle.net/10725/7698
dc.description.abstract A fast simplified model for a pressure-driven, unsteady and incompressible flow in two dimensional microchannels with a variable cross section is presented. The model relies on a perturbation analysis of the equations of mass and momentum under the assumptions that the channels have a small aspect ratio of height to length and that they have a slowly varying cross-section. A key advantage of this model is that it provides (quasi-) analytic expressions for the velocity, pressure distribution and mass flow rate in terms of the pressure drop along the channel, which makes the evaluation of such expressions very fast, compared to simulating the full Navier–Stokes equations. This is especially important in applications where the flow rate-pressure drop relation can be cast into a circuit, to be potentially integrated in a more complex system. The model turns out to be fairly accurate for a wide range of non-negligible Reynolds and Strouhal numbers and a fairly large class of channels. Furthermore, the model offers a speed factor of at least 500 over classical CFD simulations. en_US
dc.language.iso en en_US
dc.title Perturbation-based simplified models for unsteady incompressible 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.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Applied Mathematical Modelling en_US
dc.journal.volume 40 en_US
dc.journal.issue 9-10 en_US
dc.article.pages 5301-5323 en_US
dc.keywords Microchannels en_US
dc.keywords Perturbation analysis en_US
dc.keywords Simplified models en_US
dc.keywords Incompressible en_US
dc.keywords Unsteady en_US
dc.identifier.doi https://doi.org/10.1016/j.apm.2015.12.025 en_US
dc.identifier.ctation Issa, L. (2016). Perturbation-based simplified models for unsteady incompressible microchannel flows. Applied Mathematical Modelling, 40(9-10), 5301-5323. en_US
dc.author.email leila.issa@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://www.sciencedirect.com/science/article/pii/S0307904X15008379 en_US
dc.orcid.id https://orcid.org/0000-0002-7417-560X en_US
dc.author.affiliation Lebanese American University en_US


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