Anomaly of spontaneous transition to instability of liquid-vapour front in a porous medium

Khan, Zafar and Pritchard, David (2015) Anomaly of spontaneous transition to instability of liquid-vapour front in a porous medium. International Journal of Heat and Mass Transfer, 84. pp. 448-455. ISSN 0017-9310 (https://doi.org/10.1016/j.ijheatmasstransfer.2015....)

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Abstract

In this article, we have investigated the instability of the liquid–vapour front in a geothermal system with isothermal boundaries. A two–dimensional linear stability analysis of the isothermal basic state shows that the Rayleigh–Taylor mechanism is the dominant contributor to instability. A conditional expression for the critical modified Rayleigh number for different heat transport processes has been found. It has been shown that the spontaneous transition to instability is an artefact of neglecting thermal advection and the imposition of the phase change front to be equidistant from the liquid and vapour boundaries.

ORCID iDs

Khan, Zafar and Pritchard, David ORCID logoORCID: https://orcid.org/0000-0002-9235-7052;
  • Item type:Article
    ID code:51049
    Dates:
    Date
    Event
    May 2015
    Published
    23 January 2015
    Published Online
    1 January 2015
    Accepted
    Notes:NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Heat and Mass Transfer, [84, (May 2015)] doi:10.1016/j.ijheatmasstransfer.2015.01.007
    Subjects:Science > Mathematics > Probabilities. Mathematical statistics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:14 Jan 2015 09:24
    Last modified:11 Nov 2024 10:54
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/51049
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