Double-diffusive Soret convection phenomenon in porous media: effect of Vadasz inertia term

被引：7

作者：

Capone, F. ^{[1
]}

De Luca, R. ^{[1
]}

Vitiello, M. ^{[2
]}

机构：

[1] Univ Naples Federico II, Dept Math & Applicat R Caccioppoli, Via Cintia, I-80126 Naples, Italy

[2] Politecn Bari, Dept Mech Math & Management, Via Orabona 4, I-70125 Bari, Italy

来源：

RICERCHE DI MATEMATICA | 2019年 / 68卷 / 02期

关键词：

Steady convection; Hopf convection; Vadasz; Soret; Stability; Porous media; 76E06; 76S05; 35B35; NONLINEAR STABILITY;

D O I：

10.1007/s11587-018-0428-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The onset of double-diffusive convection in horizontal porous layers for the thermo-diffusive Soret phenomenon in the case of a generalized Darcy model including inertia term is investigated. Via a linearization principle recently introduced in Rionero (Atti Accad Naz Lincei Rend Cl Sci Fis Mat Natur 28:21-47, 2017) the coincidence between linear and nonlinear (global) stability thresholds of the thermo-solutal conduction solution, is proved. Necessary and sufficient conditions guaranteeing the onset of steady or oscillatory convection in a closed algebraic form are obtained.

引用

页码：581 / 595

页数：15

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