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

A Kuznetsov, D Nield, Craig Simmons

    Research output: Contribution to journalArticle

    14 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 - 2011

    Fingerprint Dive into the research topics of 'The onset of convection in a strongly heterogeneous porous medium with transient temperature profile'. Together they form a unique fingerprint.

  • Cite this