Large-scale thermal convection in a horizontal porous layer.
In a range of physical systems, the first instability in Rayleigh-Bérnard 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.
Department of Theoretical Physics, Perm State University, 15 Bukireva Street, 614990, Perm, Russia.
Denis S
DS
Goldobin
Elizaveta V
EV
Shklyaeva