Pattern competition in volumetricaly heated fluids

Gregory Cartland-Glover, Kaoru Fujimura, Sotos Generalis

Research output: Chapter in Book/Report/Conference proceedingConference publication

Abstract

Finite element simulations have been performed along side Galerkin-type calculations 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
Title of host publicationProceedings, 5th Chaotic Modeling and Simulation International Conference, 12 – 15 June 2012, Athens Greece
Pages207-216
Number of pages9
Publication statusPublished - 12 Jun 2012
Event5th Chaotic Modeling and Simulation International Conference - Athens, Greece
Duration: 12 Jun 201215 Jun 2012

Conference

Conference5th Chaotic Modeling and Simulation International Conference
Abbreviated titleCHAOS 2012
CountryGreece
CityAthens
Period12/06/1215/06/12

Keywords

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

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