Generalized Fluid Models of the Braginskii Type

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dc.contributor.authorHunana, P.
dc.contributor.authorPassot, T.
dc.contributor.authorKhomenko, E.
dc.contributor.authorMartínez-Gómez, D.
dc.contributor.authorCollados, M.
dc.contributor.authorTenerani, A.
dc.contributor.authorZank, G. P.
dc.contributor.authorManeva, Y.
dc.contributor.authorGoldstein, Melvyn
dc.contributor.authorWebb, G. M.
dc.date.accessioned2022-08-25T15:20:05Z
dc.date.available2022-08-25T15:20:05Z
dc.date.issued2022-06-17
dc.description.abstractSeveral generalizations of the well-known fluid model of Braginskii (1965) are considered. We use the Landau collisional operator and the moment method of Grad. We focus on the 21-moment model that is analogous to the Braginskii model, and we also consider a 22-moment model. Both models are formulated for general multispecies plasmas with arbitrary masses and temperatures, where all of the fluid moments are described by their evolution equations. The 21-moment model contains two “heat flux vectors” (third- and fifth-order moments) and two “viscosity tensors” (second- and fourth-order moments). The Braginskii model is then obtained as a particular case of a one ion–electron plasma with similar temperatures, with decoupled heat fluxes and viscosity tensors expressed in a quasistatic approximation. We provide all of the numerical values of the Braginskii model in a fully analytic form (together with the fourth- and fifth-order moments). For multispecies plasmas, the model makes the calculation of the transport coefficients straightforward. Formulation in fluid moments (instead of Hermite moments) is also suitable for implementation into existing numerical codes. It is emphasized that it is the quasistatic approximation that makes some Braginskii coefficients divergent in a weakly collisional regime. Importantly, we show that the heat fluxes and viscosity tensors are coupled even in the linear approximation, and that the fully contracted (scalar) perturbations of the fourth-order moment, which are accounted for in the 22-moment model, modify the energy exchange rates. We also provide several appendices, which can be useful as a guide for deriving the Braginskii model with the moment method of Grad.en_US
dc.description.sponsorshipThis work was supported by the European Research Council in the frame of the Consolidating Grant ERC-2017-CoG771310-PI2FA, “Partial Ionisation: Two-Fluid Approach,” led by Elena Khomenko. Anna Tenerani acknowledges the support of the NASA Heliophysics Supporting Research Grant #80NSSC18K1211. We acknowledge the support of the NSF EPSCoR RII-Track-1 Cooperative Agreement No. OIA-1655280, “Connecting the Plasma Universe to Plasma Technology in Alabama,” led by Gary P. Zank. Gary M. Webb was funded in part by NASA grant 80NSSC19K0075. The manuscript can be also found at http://arxiv.org/abs/2201.11561.en_US
dc.description.urihttps://iopscience.iop.org/article/10.3847/1538-4365/ac5044en_US
dc.format.extent145 pagesen_US
dc.genrejournal articlesen_US
dc.identifierdoi:10.13016/m2epeq-cu6f
dc.identifier.citationHunana, P. et al. "Generalized Fluid Models of the Braginskii Type". The Astrophysical Journal Supplement Series, 260, no. 2 (2022). https://doi.org/10.3847/1538-4365/ac5044en_US
dc.identifier.urihttps://doi.org/10.3847/1538-4365/ac5044
dc.identifier.urihttp://hdl.handle.net/11603/25567
dc.language.isoen_USen_US
dc.publisherIOPen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Goddard Planetary Heliophysics Institute (GPHI)
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)*
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/*
dc.titleGeneralized Fluid Models of the Braginskii Typeen_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0002-5317-988Xen_US

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