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

A Kuznetsov, D Nield, Craig Simmons

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)851-865
Number of pages15
JournalTransport in Porous Media
Volume86
Issue number3
DOIs
Publication statusPublished - Feb 2011

Keywords

  • Heterogeneity
  • Horizontal layer
  • Thermal instability
  • Transient heating

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