Coriolis effect on thermal convection in a rotating bidispersive porous layer

被引：31
作者：
Capone, F. [1 ]
De Luca, R. [1 ]
Gentile, M. [1 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Appl R Caccioppoli, Via Cintia, I-80126 Naples, Italy
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2020年 / 476卷 / 2235期
关键词：
bidispersive porous media; Coriolis force; Darcy model; linear stability; nonlinear stability; ONSET;
D O I：
10.1098/rspa.2019.0875
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We obtain the linear instability and nonlinear stability thresholds for a problem of thermal convection in a rotating bidispersive porous medium with a single temperature. We show that the linear instability threshold is the same as the nonlinear stability one. This means that the linear theory is capturing completely the physics of the onset of thermal convection.
引用
收藏
页数：8
相关论文
共 25 条
[1]   Sharp stability results in LTNE rotating anisotropic porous layer [J].
Capone, F. ;
Gentile, M. .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2018, 134 :661-664
[2]   On the stability-instability of vertical throughflows in double diffusive mixtures saturating rotating porous layers with large pores [J].
Capone F. ;
De Luca R. .
Ricerche di Matematica, 2014, 63 (1) :119-148
[3]   Inertia effect on the onset of convection in rotating porous layers via the "auxiliary system method" [J].
Capone, F. ;
Rionero, S. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2013, 57 :192-200
[4]   Ultimately boundedness and stability of triply diffusive mixtures in rotating porous layers under the action of Brinkman law [J].
Capone, Florinda ;
De Luca, Roberta .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2012, 47 (07) :799-805
[5]  
Chandrasekhar S., 1981, HYDRODYNAMIC HYDROMA
[6]  
De Luca R, 2017, ACTA MECH, V228, P4025, DOI 10.1007/s00707-017-1943-z
[7]   Bidispersive-inclined convection [J].
Falsaperla, Paolo ;
Mulone, Giuseppe ;
Straughan, Brian .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2016, 472 (2192)
[8]   Continuous dependence on modelling for temperature-dependent bidispersive flow [J].
Franchi, Franca ;
Nibbi, Roberta ;
Straughan, Brian .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2208)
[9]   Tridispersive thermal convection [J].
Gentile, M. ;
Straughan, B. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 42 :378-386
[10]   Bidispersive vertical convection [J].
Gentile, M. ;
Straughan, B. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2207)
123