Pattern competition in volumetricaly heated fluids

Gregory Cartland-Glover; Kaoru Fujimura; Sotos Generalis

Pattern competition in volumetricaly heated fluids

Gregory Cartland-Glover
, Kaoru Fujimura
, Sotos Generalis

Tottori Daigaku

Research output: Chapter in Book/Published conference output › Conference 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 language	English
Title of host publication	Proceedings, 5th Chaotic Modeling and Simulation International Conference, 12 – 15 June 2012, Athens Greece
Pages	207-216
Number of pages	9
Publication status	Published - 12 Jun 2012
Event	5th Chaotic Modeling and Simulation International Conference - Athens, Greece Duration: 12 Jun 2012 → 15 Jun 2012

Conference

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

Keywords

non-linear
bifurcation
stability
volumetric heating
symmetric boundaries

Access to Document

http://www.cmsim.org/images/1_CHAOS2012_Proceedings_Papers_G-L.pdf

Cite this

@inproceedings{2d069b9c7fb34895a78a4811b595aca3,

title = "Pattern competition in volumetricaly heated fluids",

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.",

keywords = "non-linear, bifurcation, stability, volumetric heating, symmetric boundaries",

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

year = "2012",

month = jun,

day = "12",

language = "English",

pages = "207--216",

booktitle = "Proceedings, 5th Chaotic Modeling and Simulation International Conference, 12 – 15 June 2012, Athens Greece",

note = "5th Chaotic Modeling and Simulation International Conference, CHAOS 2012 ; Conference date: 12-06-2012 Through 15-06-2012",

}

Cartland-Glover, G, Fujimura, K & Generalis, S 2012, Pattern competition in volumetricaly heated fluids. in Proceedings, 5th Chaotic Modeling and Simulation International Conference, 12 – 15 June 2012, Athens Greece. pp. 207-216, 5th Chaotic Modeling and Simulation International Conference, Athens, Greece, 12/06/12. <http://www.cmsim.org/images/1_CHAOS2012_Proceedings_Papers_G-L.pdf>

TY - GEN

T1 - Pattern competition in volumetricaly heated fluids

AU - Cartland-Glover, Gregory

AU - Fujimura, Kaoru

AU - Generalis, Sotos

PY - 2012/6/12

Y1 - 2012/6/12

N2 - 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.

AB - 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.

KW - non-linear

KW - bifurcation

KW - stability

KW - volumetric heating

KW - symmetric boundaries

M3 - Conference publication

SP - 207

EP - 216

BT - Proceedings, 5th Chaotic Modeling and Simulation International Conference, 12 – 15 June 2012, Athens Greece

T2 - 5th Chaotic Modeling and Simulation International Conference

Y2 - 12 June 2012 through 15 June 2012

ER -

Pattern competition in volumetricaly heated fluids

Abstract

Conference

Keywords

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