Patterns of bifurcating convective flows in long horizontal cavities

Alexander Yu Gelfgat; Pinhas Z. Bar-Yoseph; Alexander L. Yarin

doi:10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

Patterns of bifurcating convective flows in long horizontal cavities

Alexander Yu Gelfgat, Pinhas Z. Bar-Yoseph, Alexander L. Yarin

School of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

Patterns and stability of steady convective flows of low Prandtl number fluids (Pr = 0 and 0.015) in laterally heated rectangular cavities with four rigid walls are studied. Spectral Galerkin and finite volume methods are applied. The aspect ratio (length/height) of the cavity is varied from 1 to 10. Calculations with the global spectral method show that at certain values of the governing parameters there may exist simultaneously several stable steady states of the flow. Five different branches of steady flows were found and their stability was studied. Results of the spectral method (on multiplicity of steady states and stability) are verified by solution of the full unsteady problem using the finite volume method.

Original language	English
Title of host publication	CHT'97 - Advances in Computational Heat Transfer
Subtitle of host publication	Proceedings of the International Symposium Çeşme, Turkey, 26-30 May, 1997
Publisher	Begell House Inc.
ISBN (Print)	978-1-56700-115-0
DOIs	https://doi.org/10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460
State	Published - 1997
Event	International Symposium on Advances in Computational Heat Transfer, CHT 1997 - Çeşme, Turkey Duration: 26 May 1997 → 30 May 1997

Publication series

Name	International Symposium on Advances in Computational Heat Transfer
ISSN (Print)	2578-5486

Conference

Conference	International Symposium on Advances in Computational Heat Transfer, CHT 1997
Country/Territory	Turkey
City	Çeşme
Period	26/05/97 → 30/05/97

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10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

Cite this

Gelfgat, A. Y., Bar-Yoseph, P. Z., & Yarin, A. L. (1997). Patterns of bifurcating convective flows in long horizontal cavities. In CHT'97 - Advances in Computational Heat Transfer: Proceedings of the International Symposium Çeşme, Turkey, 26-30 May, 1997 (International Symposium on Advances in Computational Heat Transfer). Begell House Inc.. https://doi.org/10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

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title = "Patterns of bifurcating convective flows in long horizontal cavities",

abstract = "Patterns and stability of steady convective flows of low Prandtl number fluids (Pr = 0 and 0.015) in laterally heated rectangular cavities with four rigid walls are studied. Spectral Galerkin and finite volume methods are applied. The aspect ratio (length/height) of the cavity is varied from 1 to 10. Calculations with the global spectral method show that at certain values of the governing parameters there may exist simultaneously several stable steady states of the flow. Five different branches of steady flows were found and their stability was studied. Results of the spectral method (on multiplicity of steady states and stability) are verified by solution of the full unsteady problem using the finite volume method.",

author = "Gelfgat, {Alexander Yu} and Bar-Yoseph, {Pinhas Z.} and Yarin, {Alexander L.}",

note = "Publisher Copyright: {\textcopyright} 1997, Begell House Inc. All rights reserved. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.; International Symposium on Advances in Computational Heat Transfer, CHT 1997 ; Conference date: 26-05-1997 Through 30-05-1997",

year = "1997",

doi = "10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460",

language = "אנגלית",

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publisher = "Begell House Inc.",

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Gelfgat, AY, Bar-Yoseph, PZ & Yarin, AL 1997, Patterns of bifurcating convective flows in long horizontal cavities. in CHT'97 - Advances in Computational Heat Transfer: Proceedings of the International Symposium Çeşme, Turkey, 26-30 May, 1997. International Symposium on Advances in Computational Heat Transfer, Begell House Inc., International Symposium on Advances in Computational Heat Transfer, CHT 1997, Çeşme, Turkey, 26/05/97. https://doi.org/10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

Patterns of bifurcating convective flows in long horizontal cavities. / Gelfgat, Alexander Yu; Bar-Yoseph, Pinhas Z.; Yarin, Alexander L.
CHT'97 - Advances in Computational Heat Transfer: Proceedings of the International Symposium Çeşme, Turkey, 26-30 May, 1997. Begell House Inc., 1997. (International Symposium on Advances in Computational Heat Transfer).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Patterns and stability of steady convective flows of low Prandtl number fluids (Pr = 0 and 0.015) in laterally heated rectangular cavities with four rigid walls are studied. Spectral Galerkin and finite volume methods are applied. The aspect ratio (length/height) of the cavity is varied from 1 to 10. Calculations with the global spectral method show that at certain values of the governing parameters there may exist simultaneously several stable steady states of the flow. Five different branches of steady flows were found and their stability was studied. Results of the spectral method (on multiplicity of steady states and stability) are verified by solution of the full unsteady problem using the finite volume method.

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Gelfgat AY, Bar-Yoseph PZ, Yarin AL. Patterns of bifurcating convective flows in long horizontal cavities. In CHT'97 - Advances in Computational Heat Transfer: Proceedings of the International Symposium Çeşme, Turkey, 26-30 May, 1997. Begell House Inc. 1997. (International Symposium on Advances in Computational Heat Transfer). doi: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

Patterns of bifurcating convective flows in long horizontal cavities

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