Linear and nonlinear convection in porous media between coaxial cylinders

被引：18

作者：

Bringedal, Carina ^{[1
]}

Berre, Inga ^{[1
]}

Nordbotten, Jan M. ^{[1
]}

Rees, D. Andrew S. ^{[2
]}

机构：

[1] Univ Bergen, Dept Math, N-5020 Bergen, Norway

[2] Univ Bath, Dept Mech Engn, Bath BA2 7AY, Avon, England

来源：

PHYSICS OF FLUIDS | 2011年 / 23卷 / 09期

关键词：

confined flow; convection; flow instability; flow simulation; flow through porous media; numerical analysis; CONSTANT FLUX; ONSET; BOX;

D O I：

10.1063/1.3637642

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We uncover novel features of three-dimensional natural convection in porous media by investigating convection in an annular porous cavity contained between two vertical coaxial cylinders. The investigations are made using a linear stability analysis, together with high-order numerical simulations using pseudospectral methods to model the nonlinear regime. The onset of convection cells and their preferred planform are studied, and the stability of the modes with respect to different types of perturbation is investigated. We also examine how variations in the Rayleigh number affect the convection modes and their stability regimes. Compared with previously published data, we show how the problem inherits an increased complexity regarding which modes will be obtained. Some stable secondary modes or mixed modes have been identified and some overlapping stability regions for different convective modes are determined. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3637642]

引用

页数：11

共 22 条

[1]

[Anonymous], 2000, SIAM

[2]

Bachmat Y., 1990, INTRO MODELLING PHEN

[3] ONSET OF CONVECTION IN A PERMEABLE MEDIUM BETWEEN VERTICAL COAXIAL CYLINDERS [J].