Large-Scale Thermal Convection in a Horizontal Porous Layer

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dc.creatorGoldobin, Denis S.
dc.creatorShklyaeva, Elizaveta V.
dc.date2008-04-17
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:14Z
dc.date.available2026-07-07T09:57:14Z
dc.descriptionIn a range of physical systems, the first instability in Rayleigh-Bernard convection between nearly thermally insulating horizontal plates is large scale. This holds for thermal convection of fluids saturating porous media. Large-scale thermal convection in a horizontal layer is governed by remarkably similar equations both in the presence of a porous matrix and without it, with only one additional term for the latter case, which, however, vanishes under certain conditions (e.g., two-dimensional flows or infinite Prandtl number). We provide a rigorous derivation of long-wavelength equations for a porous layer with inhomogeneous heating and possible pumping.
dc.description4 pages, no figures, published as a Brief Report in Physical Review E
dc.identifierhttps://arxiv.org/abs/0804.2825
dc.identifierhttp://arxiv.org/abs/0804.2825
dc.identifierPhys. Rev. E 78(2), 027301 (2008)
dc.identifierdoi:10.1103/PhysRevE.78.027301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167268
dc.subjectFluid Dynamics
dc.titleLarge-Scale Thermal Convection in a Horizontal Porous Layer
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