Pattern formation in volumetrically heated fluids

Gregory Cartland-Glover, Kaoru Fujimura, Sotos Generalis

Research output: Contribution to journalArticle

Abstract

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
Volume2013
Issue number1
Publication statusPublished - 2013

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Grashof number
planforms
fluids
Prandtl number
flow distribution
simulation

Bibliographical note

© 2013 CMSIM

Keywords

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

Cite this

Cartland-Glover, Gregory ; Fujimura, Kaoru ; Generalis, Sotos. / Pattern formation in volumetrically heated fluids. In: International Journal of Nonlinear Science. 2013 ; Vol. 2013, No. 1. pp. 19-30.
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Cartland-Glover, G, Fujimura, K & Generalis, S 2013, 'Pattern formation in volumetrically heated fluids', International Journal of Nonlinear Science, vol. 2013, no. 1, pp. 19-30.

Pattern formation in volumetrically heated fluids. / Cartland-Glover, Gregory; Fujimura, Kaoru; Generalis, Sotos.

In: International Journal of Nonlinear Science, Vol. 2013, No. 1, 2013, p. 19-30.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Pattern formation in volumetrically heated fluids

AU - Cartland-Glover, Gregory

AU - Fujimura, Kaoru

AU - Generalis, Sotos

N1 - © 2013 CMSIM

PY - 2013

Y1 - 2013

N2 - Finite element simulations have been performed along side normal modeanalysis on the linear stability that examined the development of volumetricallyheated 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.

AB - Finite element simulations have been performed along side normal modeanalysis on the linear stability that examined the development of volumetricallyheated 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.

KW - non-linear

KW - bifurcation

KW - stability

KW - volumetric heating

KW - asymmetric boundaries

M3 - Article

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SP - 19

EP - 30

JO - International Journal of Nonlinear Science

JF - International Journal of Nonlinear Science

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