Soret Effect and Mixed Convection in Porous Media

Weakly nonlinear interaction of mixed convection patterns in porous media heated from below

“…After inserting 1 and 2 into Eq. (20), there is no real need to solve this equation. Instead, by projecting this equation onto 1 , which is the solution to the adjoint problem (18), the right-hand side of Eq.…”

“…A detailed analysis is possible if the Rayleigh number is only slightly larger than its critical value. This weakly nonlinear analysis has been applied to various physical systems such as Rayleigh-Bénard convection [18], Poiseuille flow [19], binary fluid convection in porous media [20], nonlinear optics [21] or more recently, PoiseuilleRayleigh-Bénard problem [17].…”

The effect of local thermal non-equilibrium on the onset of thermal instability for a metallic foam

“…Recently, absolute instability in porous media flows has been the focus of several studies [11][12][13][14][15][16][17][18][19][20] , and a more exhaustive review can be found in Barletta 21 . In the context of convection within 2 This is the author's peer reviewed, accepted manuscript.…”