Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling

SC Hirata; B Goyeau; D Gobin; Magda Carr; RM Cotta

doi:10.1016/j.ijheatmasstransfer.2006.09.038

Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling

SC Hirata, B Goyeau, D Gobin, Magda Carr, RM Cotta

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

Abstract

This study deals with the onset of thermal natural convection in a system consisting of a fluid layer overlying a homogeneous porous medium. A linear stability analysis is carried out, using the so-called two-domain approach and including the Brinkman term in the porous region (2 Omega(DB)). Results are systematically compared to those obtained using the one-domain approach (1 Omega) and the classical Darcy formulation of the two-domain approach (2 Omega(D)). A better agreement is found between the 2 Omega(DB) and 2 Omega(D) neutral curves, than with the 1 Omega curves, indicating that the inclusion of the Brinkman term plays a secondary role on the stability results. The different treatment of the interfacial region is discussed on the basis of these results. (c) 2006 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1356-1367
Number of pages	12
Journal	International Journal of Heat and Mass Transfer
Volume	50
Issue number	7-8
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2006.09.038
Publication status	Published - Apr 2007

Keywords

PENETRATIVE CONVECTION
BOUNDARY-CONDITIONS
HOMOGENEOUS FLUID
MOMENTUM-TRANSFER
BINARY ALLOY
SOLIDIFICATION
EQUATION
ONSET
FLOW

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10.1016/j.ijheatmasstransfer.2006.09.038

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title = "Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling",

abstract = "This study deals with the onset of thermal natural convection in a system consisting of a fluid layer overlying a homogeneous porous medium. A linear stability analysis is carried out, using the so-called two-domain approach and including the Brinkman term in the porous region (2 Omega(DB)). Results are systematically compared to those obtained using the one-domain approach (1 Omega) and the classical Darcy formulation of the two-domain approach (2 Omega(D)). A better agreement is found between the 2 Omega(DB) and 2 Omega(D) neutral curves, than with the 1 Omega curves, indicating that the inclusion of the Brinkman term plays a secondary role on the stability results. The different treatment of the interfacial region is discussed on the basis of these results. (c) 2006 Elsevier Ltd. All rights reserved.",

keywords = "PENETRATIVE CONVECTION, BOUNDARY-CONDITIONS, HOMOGENEOUS FLUID, MOMENTUM-TRANSFER, BINARY ALLOY, SOLIDIFICATION, EQUATION, ONSET, FLOW",

author = "SC Hirata and B Goyeau and D Gobin and Magda Carr and RM Cotta",

year = "2007",

month = apr,

doi = "10.1016/j.ijheatmasstransfer.2006.09.038",

language = "English",

volume = "50",

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journal = "International Journal of Heat and Mass Transfer",

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T1 - Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling

AU - Hirata, SC

AU - Goyeau, B

AU - Gobin, D

AU - Carr, Magda

AU - Cotta, RM

PY - 2007/4

Y1 - 2007/4

N2 - This study deals with the onset of thermal natural convection in a system consisting of a fluid layer overlying a homogeneous porous medium. A linear stability analysis is carried out, using the so-called two-domain approach and including the Brinkman term in the porous region (2 Omega(DB)). Results are systematically compared to those obtained using the one-domain approach (1 Omega) and the classical Darcy formulation of the two-domain approach (2 Omega(D)). A better agreement is found between the 2 Omega(DB) and 2 Omega(D) neutral curves, than with the 1 Omega curves, indicating that the inclusion of the Brinkman term plays a secondary role on the stability results. The different treatment of the interfacial region is discussed on the basis of these results. (c) 2006 Elsevier Ltd. All rights reserved.

AB - This study deals with the onset of thermal natural convection in a system consisting of a fluid layer overlying a homogeneous porous medium. A linear stability analysis is carried out, using the so-called two-domain approach and including the Brinkman term in the porous region (2 Omega(DB)). Results are systematically compared to those obtained using the one-domain approach (1 Omega) and the classical Darcy formulation of the two-domain approach (2 Omega(D)). A better agreement is found between the 2 Omega(DB) and 2 Omega(D) neutral curves, than with the 1 Omega curves, indicating that the inclusion of the Brinkman term plays a secondary role on the stability results. The different treatment of the interfacial region is discussed on the basis of these results. (c) 2006 Elsevier Ltd. All rights reserved.

KW - PENETRATIVE CONVECTION

KW - BOUNDARY-CONDITIONS

KW - HOMOGENEOUS FLUID

KW - MOMENTUM-TRANSFER

KW - BINARY ALLOY

KW - SOLIDIFICATION

KW - EQUATION

KW - ONSET

KW - FLOW

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DO - 10.1016/j.ijheatmasstransfer.2006.09.038

M3 - Article

SN - 0017-9310

VL - 50

SP - 1356

EP - 1367

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 7-8

ER -

Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling

Abstract

Keywords

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