Linear and nonlinear convection in porous media between coaxial cylinders

Carina Bringedal; Inga Berre; Jan M Nordbotten; D Andrew S Rees

doi:10.1063/1.3637642

Linear and nonlinear convection in porous media between coaxial cylinders

Carina Bringedal, Inga Berre, Jan M Nordbotten, D Andrew S Rees

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

23 Citations (SciVal)

174 Downloads (Pure)

Abstract

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 studiedthe 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.

Original language	English
Article number	094109
Journal	Physics of Fluids
Volume	23
Issue number	9
DOIs	https://doi.org/10.1063/1.3637642
Publication status	Published - 30 Sept 2011

Access to Document

10.1063/1.3637642

Rees_Phys-Fluids_2011.pdf
Copyright (2011) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Bringedal, C., Berre, I., Nordbotten, J. M. and Rees, D. A. S., 2011. Linear and nonlinear convection in porous media between coaxial cylinders. Physics of Fluids, 23 (9), 094109 and may be found at http://dx.doi.org/10.1063/1.3637642

Cite this

@article{4683f33fd54348ea9a6aca33a3386e06,

title = "Linear and nonlinear convection in porous media between coaxial cylinders",

abstract = "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 studiedthe 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.",

author = "Carina Bringedal and Inga Berre and Nordbotten, {Jan M} and Rees, {D Andrew S}",

year = "2011",

month = sep,

day = "30",

doi = "10.1063/1.3637642",

language = "English",

volume = "23",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics Publising LLC",

number = "9",

}

TY - JOUR

T1 - Linear and nonlinear convection in porous media between coaxial cylinders

AU - Bringedal, Carina

AU - Berre, Inga

AU - Nordbotten, Jan M

AU - Rees, D Andrew S

PY - 2011/9/30

Y1 - 2011/9/30

N2 - 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 studiedthe 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.

AB - 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 studiedthe 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.

UR - http://www.scopus.com/inward/record.url?scp=80053402970&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1063/1.3637642

U2 - 10.1063/1.3637642

DO - 10.1063/1.3637642

M3 - Article

SN - 1070-6631

VL - 23

JO - Physics of Fluids

JF - Physics of Fluids

IS - 9

M1 - 094109

ER -

Linear and nonlinear convection in porous media between coaxial cylinders

Abstract

Access to Document

Other files and links

Fingerprint

Cite this