Tridispersive thermal convection

Abstract

We derive the linear instability and nonlinear stability thresholds for a problem\ud of thermal convection in a tridispersive porous medium with a single temperature.\ud Importantly we demonstrate that the nonlinear stability threshold is the same as the\ud linear instability one. The significance of this is that the linear theory is capturing\ud completely the physics of the onset of thermal convection. This result is different to\ud the general theory of thermal convection in a tridispersive porous material where\ud the temperatures in the macropores, mesopores and micropores are allowed to be\ud different. In that case the coincidence of the nonlinear stability and linear instability\ud boundaries has not been proved

Convection in a horizontal layer of water with three diffusing components

“…In order to compare the quantum of heat and mass transport, we consider Eqs. (20)- (22) to obtain the following results (Table 6): Table 7 presents qualitative results on the quantum of heat and mass transports. The value of the diffusivity ratio, being less than or greater than unity decides whether heat transport dominates or the mass transport.…”

“…Rionero [21] obtained conditions in closed-form that are sufficient for inhibiting the onset of convection and that which guarantee the global nonlinear stability of the thermal conduction solution. Gentile and Straughan [22] studied tridispersive thermal convection in a porous medium of which one of the diffusive components is temperature. Raghunath et al [23] investigated the problem of triple diffusive convection in an Oldroyd-B fluid with cross-diffusion.…”

Coriolis effect on thermal convection in a rotating bidispersive porous layer

“…They employ independent velocity, pressure and temperature fields for the macro and micro phases. See also Straughan [7][8][9][10][11], Falsaperla et al [12], Franchi et al [13], Gentile & Straughan [14][15][16].…”