The onset of convection in a strongly heterogeneous porous medium with transient temperature profile

A Kuznetsov; D Nield; Craig Simmons

doi:10.1007/s11242-010-9657-x

The onset of convection in a strongly heterogeneous porous medium with transient temperature profile

A Kuznetsov, D Nield, Craig Simmons

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

15 Citations (Scopus)

Abstract

The effect of heterogeneity of permeability, on the onset of convection in a horizontal layer of a saturated porous medium, uniformly heated from below but with a nonuniform basic temperature gradient resulting from transient heating, is studied analytically using linear stability theory for the case of strong heterogeneity. Two particular situations, corresponding to instantaneous bottom heating and constant-rate bottom heating, are studied. Estimates of the timescale for the development of convection instability are obtained. The case of a strongly nonlinear temperature gradient is studied with the help of a computer package.

Original language	English
Pages (from-to)	851-865
Number of pages	15
Journal	Transport in Porous Media
Volume	86
Issue number	3
DOIs	https://doi.org/10.1007/s11242-010-9657-x
Publication status	Published - Feb 2011

Keywords

Heterogeneity
Horizontal layer
Thermal instability
Transient heating

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AB - The effect of heterogeneity of permeability, on the onset of convection in a horizontal layer of a saturated porous medium, uniformly heated from below but with a nonuniform basic temperature gradient resulting from transient heating, is studied analytically using linear stability theory for the case of strong heterogeneity. Two particular situations, corresponding to instantaneous bottom heating and constant-rate bottom heating, are studied. Estimates of the timescale for the development of convection instability are obtained. The case of a strongly nonlinear temperature gradient is studied with the help of a computer package.

KW - Heterogeneity

KW - Horizontal layer

KW - Thermal instability

KW - Transient heating

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ER -

The onset of convection in a strongly heterogeneous porous medium with transient temperature profile

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Keywords

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