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Triply Resonant Double Diffusive Convection in a Fluid Layer

    Akil J. Harfash Affiliation
    ; Fahad K. Nashmi Affiliation

Abstract

We study the problem of double-diffusive convection in a horizontal plane fluid layer when there is a heat sink/source which is linear in the vertical coordinate which is in the opposite direction to gravity. The thresholds for linear instability are found and compared to those derived by a global nonlinear energy stability analysis. A region is discovered where a very sharp increase in Rayleigh number is observed. In addition to a linearized instability analysis, two global (unconditional) nonlinear stability thresholds are derived.

Keyword : double-diffusive, three layer, resonance, thermal insulation

How to Cite
Harfash, A. J., & Nashmi, F. K. (2017). Triply Resonant Double Diffusive Convection in a Fluid Layer. Mathematical Modelling and Analysis, 22(6), 809-826. https://doi.org/10.3846/13926292.2017.1384765
Published in Issue
Nov 21, 2017
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This work is licensed under a Creative Commons Attribution 4.0 International License.