Pattern formation in volumetrically heated fluids

Gregory Cartland-Glover, Kaoru Fujimura, Sotos Generalis

    Research output: Contribution to journalArticlepeer-review


    Finite element simulations have been performed along side normal mode
    analysis on the linear stability that examined the development of volumetrically
    heated flow patterns in a horizontal layer controlled by the Prandtl number, Pr,
    and the Grashof number, Gr. The fluid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal planforms occurred, as Gr increased above the critical Grashof number, Grc at Pr = 7, while roll structures were observed for Pr < 1 at 2Grc.
    Original languageEnglish
    Pages (from-to)19-30
    Number of pages12
    JournalInternational Journal of Nonlinear Science
    Issue number1
    Publication statusPublished - 2013

    Bibliographical note

    © 2013 CMSIM


    • non-linear
    • bifurcation
    • stability
    • volumetric heating
    • asymmetric boundaries


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