The onset of convection in an anisotropic porous layer inclined at a small angle from the horizontal

A Postelnicu, D A S Rees

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Abstract

We consider the onset of convection in a porous layer heated from below. The layer is anisotropic with respect to both its permeability and diffusivity and is inclined at a small angle to the horizontal. The aim of this work is to determine analytically by how much the critical Rayleigh number varies when the layer first ceases to be horizontal. For nearly isotropic layers we show that rolls may be either longitudinal or transverse depending on the nondimensional parameters; this is unlike the case of O(1) inclinations the results of which are presented in a companion paper. (C) 2001 Elsevier Science Ltd.
Original languageEnglish
Pages (from-to)641-650
Number of pages10
JournalInternational Communications in Heat and Mass Transfer
Volume28
Issue number5
Publication statusPublished - 2001

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convection
Rayleigh number
inclination
diffusivity
permeability
Convection

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title = "The onset of convection in an anisotropic porous layer inclined at a small angle from the horizontal",
abstract = "We consider the onset of convection in a porous layer heated from below. The layer is anisotropic with respect to both its permeability and diffusivity and is inclined at a small angle to the horizontal. The aim of this work is to determine analytically by how much the critical Rayleigh number varies when the layer first ceases to be horizontal. For nearly isotropic layers we show that rolls may be either longitudinal or transverse depending on the nondimensional parameters; this is unlike the case of O(1) inclinations the results of which are presented in a companion paper. (C) 2001 Elsevier Science Ltd.",
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AU - Postelnicu, A

AU - Rees, D A S

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Y1 - 2001

N2 - We consider the onset of convection in a porous layer heated from below. The layer is anisotropic with respect to both its permeability and diffusivity and is inclined at a small angle to the horizontal. The aim of this work is to determine analytically by how much the critical Rayleigh number varies when the layer first ceases to be horizontal. For nearly isotropic layers we show that rolls may be either longitudinal or transverse depending on the nondimensional parameters; this is unlike the case of O(1) inclinations the results of which are presented in a companion paper. (C) 2001 Elsevier Science Ltd.

AB - We consider the onset of convection in a porous layer heated from below. The layer is anisotropic with respect to both its permeability and diffusivity and is inclined at a small angle to the horizontal. The aim of this work is to determine analytically by how much the critical Rayleigh number varies when the layer first ceases to be horizontal. For nearly isotropic layers we show that rolls may be either longitudinal or transverse depending on the nondimensional parameters; this is unlike the case of O(1) inclinations the results of which are presented in a companion paper. (C) 2001 Elsevier Science Ltd.

M3 - Article

VL - 28

SP - 641

EP - 650

JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

SN - 0735-1933

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