Pattern formation in volumetrically heated fluids

Gregory Cartland Glover; Kaoru Fujimura; Sotos Generalis

Pattern formation in volumetrically heated fluids

Gregory Cartland Glover, Kaoru Fujimura, Sotos Generalis

Research output: Unpublished contribution to conference › Unpublished Conference Paper › peer-review

Abstract

Finite element simulations have been performed along side Galerkin-type calculations that examined the development of volumetrically heated ow pat-terns in a horizontal layer controlled by the Prandtl number, Pr, and the Grashof number, Gr. The uid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal plan-forms occurred, as Gr increased above the critical Grashof number, Gr_c at Pr = 7, while roll structures were observed for Pr 1 at 2Gr_c

Original language	English
Pages	207-216
Number of pages	10
Publication status	Published - 30 Jun 2012
Event	5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012 - Athens, Greece Duration: 12 Jun 2012 → 15 Jun 2012

Conference

Conference	5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012
Country/Territory	Greece
City	Athens
Period	12/06/12 → 15/06/12

Bibliographical note

Publisher Copyright:
© 2012 5th Chaotic Modeling and Simulation International Conference All Rights Reserved

Keywords

Asymmetric bound-A ries
Bifurcation
Non-linear
Stability
Volumetric heating

Cite this

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title = "Pattern formation in volumetrically heated fluids",

abstract = "Finite element simulations have been performed along side Galerkin-type calculations that examined the development of volumetrically heated ow pat-terns in a horizontal layer controlled by the Prandtl number, Pr, and the Grashof number, Gr. The uid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal plan-forms occurred, as Gr increased above the critical Grashof number, Grc at Pr = 7, while roll structures were observed for Pr 1 at 2Grc",

keywords = "Asymmetric bound-A ries, Bifurcation, Non-linear, Stability, Volumetric heating",

author = "Glover, {Gregory Cartland} and Kaoru Fujimura and Sotos Generalis",

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language = "English",

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TY - CONF

T1 - Pattern formation in volumetrically heated fluids

AU - Glover, Gregory Cartland

AU - Fujimura, Kaoru

AU - Generalis, Sotos

PY - 2012/6/30

Y1 - 2012/6/30

N2 - Finite element simulations have been performed along side Galerkin-type calculations that examined the development of volumetrically heated ow pat-terns in a horizontal layer controlled by the Prandtl number, Pr, and the Grashof number, Gr. The uid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal plan-forms 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 Galerkin-type calculations that examined the development of volumetrically heated ow pat-terns in a horizontal layer controlled by the Prandtl number, Pr, and the Grashof number, Gr. The uid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal plan-forms occurred, as Gr increased above the critical Grashof number, Grc at Pr = 7, while roll structures were observed for Pr 1 at 2Grc

KW - Asymmetric bound-A ries

KW - Bifurcation

KW - Non-linear

KW - Stability

KW - Volumetric heating

UR - http://www.scopus.com/inward/record.url?scp=85072370776&partnerID=8YFLogxK

M3 - Unpublished Conference Paper

AN - SCOPUS:85072370776

SP - 207

EP - 216

T2 - 5th International Conference on Chaotic Modeling and Simulation, CHAOS 2012

Y2 - 12 June 2012 through 15 June 2012

ER -

Pattern formation in volumetrically heated fluids

Abstract

Conference

Bibliographical note

Keywords

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Cite this