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dc.contributor.authorJaishankar, Aditya
dc.contributor.authorMcKinley, Gareth H
dc.date.accessioned2015-07-06T17:59:50Z
dc.date.available2015-07-06T17:59:50Z
dc.date.issued2014-03
dc.identifier.issn00011541
dc.identifier.issn1547-5905
dc.identifier.urihttp://hdl.handle.net/1721.1/97683
dc.description.abstractMicrochannel gas flows are of importance in a wide range of microelectro mechanical devices. In these flows, the mean free path of the gas can be comparable to the characteristic length of the microchannel, leading to strong diffusion-enhanced transport of momentum. Numerical solutions to the extended Navier–Stokes equations (ENSE) have successfully modeled such microchannel flows. Analytical solutions to the ENSE for the pressure and velocity fields using the Lambert W function are derived. We find that diffusive contributions to the total transport are only dominant for low average pressures and low pressure drops across the microchannel. For large inlet pressures, we show that the expressions involving the Lambert W function predict steep gradients in the pressure and velocity localized near the channel exit. We extract a characteristic length for this boundary layer. Our analytical results are validated by numerical and experimental results available in the literature.en_US
dc.language.isoen_US
dc.publisherWiley Blackwellen_US
dc.relation.isversionofhttp://dx.doi.org/10.1002/aic.14407en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceMIT web domainen_US
dc.titleAn exact analytical solution to the extended Navier-Stokes equations using the Lambert W functionen_US
dc.title.alternativeAn analytical solution to the extended Navier-Stokes equations using the Lambert W functionen_US
dc.typeArticleen_US
dc.identifier.citationJaishankar, Aditya, and Gareth H. McKinley. “An Analytical Solution to the Extended Navier-Stokes Equations Using the Lambert W Function.” AIChE Journal 60, no. 4 (March 5, 2014): 1413–1423.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.contributor.departmentMassachusetts Institute of Technology. Hatsopoulos Microfluids Laboratoryen_US
dc.contributor.mitauthorJaishankar, Adityaen_US
dc.contributor.mitauthorMcKinley, Gareth H.en_US
dc.relation.journalAIChE Journalen_US
dc.eprint.versionOriginal manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dspace.orderedauthorsJaishankar, Aditya; McKinley, Gareth H.en_US
dc.identifier.orcidhttps://orcid.org/0000-0001-8323-2779
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


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