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

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

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
Journal	International Symposium on Advances in Computational Heat Transfer
DOIs	https://doi.org/10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460
Publication status	Published - 1997
Event	International Symposium on Advances in Computational Heat Transfer, CHT 1997 - Çeşme, Turkey Duration: 1997 May 26 → 1997 May 30

Bibliographical note

Funding Information:
This research was supported by the German-Israeli Foundation for Scientific Research and Development, grant No.1-284.046,10/93.

Publisher Copyright:
© 1997, Begell House Inc. All rights reserved.

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
Mechanical Engineering
Condensed Matter Physics
Computer Science Applications

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10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

Cite this

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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 = "Funding Information: This research was supported by the German-Israeli Foundation for Scientific Research and Development, grant No.1-284.046,10/93. Publisher Copyright: {\textcopyright} 1997, Begell House Inc. 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 = "English",

journal = "International Symposium on Advances in Computational Heat Transfer",

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T1 - Patterns of bifurcating convective flows in long horizontal cavities

AU - Gelfgat, Alexander Yu

AU - Bar-Yoseph, Pinhas Z.

AU - Yarin, Alexander L.

N1 - Funding Information: This research was supported by the German-Israeli Foundation for Scientific Research and Development, grant No.1-284.046,10/93. Publisher Copyright: © 1997, Begell House Inc. All rights reserved.

PY - 1997

Y1 - 1997

N2 - 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.

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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U2 - 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

DO - 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.460

M3 - Conference article

AN - SCOPUS:84889525343

SN - 2578-5486

JO - International Symposium on Advances in Computational Heat Transfer

JF - International Symposium on Advances in Computational Heat Transfer

T2 - International Symposium on Advances in Computational Heat Transfer, CHT 1997

Y2 - 26 May 1997 through 30 May 1997

ER -

Patterns of bifurcating convective flows in long horizontal cavities

Abstract

Bibliographical note

ASJC Scopus subject areas

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