Pattern formation in volumetrically heated fluids

Gregory Cartland-Glover, Kaoru Fujimura, Sotos Generalis

Research output: Contribution to journalArticle


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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