In the Darcy–Boussinesq–Brinkman scheme, the onset of convection in a porous horizontal layer (formula presented.) with depth-dependent permeability and viscosities is investigated. The linear instability is studied and the global nonlinear stability is investigated via the auxiliary system method. By looking for symmetries and skew-symmetries hidden in the Darcy–Boussinesq–Brinkman model, a condition, in closed form, guaranteeing the global nonlinear stability is furnished. Applications to the earth’s mantle and to artificial porous materials are furnished.
Influence of Depth-Dependent Brinkman Viscosity on the Onset of Convection in Ternary Porous Layers / Rionero, Salvatore. - In: TRANSPORT IN POROUS MEDIA. - ISSN 0169-3913. - 106:1(2014), pp. 221-236. [10.1007/s11242-014-0397-1]
Influence of Depth-Dependent Brinkman Viscosity on the Onset of Convection in Ternary Porous Layers
RIONERO, SALVATORE
2014
Abstract
In the Darcy–Boussinesq–Brinkman scheme, the onset of convection in a porous horizontal layer (formula presented.) with depth-dependent permeability and viscosities is investigated. The linear instability is studied and the global nonlinear stability is investigated via the auxiliary system method. By looking for symmetries and skew-symmetries hidden in the Darcy–Boussinesq–Brinkman model, a condition, in closed form, guaranteeing the global nonlinear stability is furnished. Applications to the earth’s mantle and to artificial porous materials are furnished.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.