Thermodynamically admissible 13-moment equations

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dc.contributor.authorStruchtrup, Henning
dc.contributor.authorOttinger, Hans Christian
dc.date.accessioned2022-01-21T22:17:10Z
dc.date.available2022-01-21T22:17:10Z
dc.date.copyright2022en_US
dc.date.issued2022-01
dc.description.abstractGrad's 13-moment equations describe transport in mildly rarefied gases well, but are not properly embedded into nonequilibrium thermodynamics since they are not accompanied by a formulation of the second law. In this work, the Grad-13 equations are embedded into the framework of GENERIC (general equation for the nonequilibrium reversible–irreversible coupling), which demands additional contributions in the equations to guarantee thermodynamic structure. As GENERIC building blocks, we use a Poisson matrix for the basic convection behavior and antisymmetric friction matrices to correct for additional convective transport terms. The ensuing GENERIC-13 equations completely match the Grad-13 equations up to second-order terms in the Knudsen number and fulfill all thermodynamic requirements.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipNational Sciences and Engineering Research Council (NSERC), Grant No. RGPIN-2016–03679en_US
dc.identifier.citationHenning, S., & Ottinger, Hans Christian. (2022). Thermodynamically admissible 13-moment equations. Physics of Fluids. 34, 017105 https://doi.org/10.1063/5.0078780en_US
dc.identifier.urihttps://doi.org/10.1063/5.0078780
dc.identifier.urihttp://hdl.handle.net/1828/13715
dc.language.isoenen_US
dc.publisherPHysics of Fluidsen_US
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Canada*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/ca/*
dc.subject.departmentDepartment of Mechanical Engineering
dc.titleThermodynamically admissible 13-moment equationsen_US
dc.typeArticleen_US

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