Patterns of bifurcating convective flows in long horizontal cavities

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

Research output: Contribution to journalConference article

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.

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convective flow
spectral methods
finite volume method
Finite volume method
Steady flow
cavities
Prandtl number
steady flow
aspect ratio
Aspect ratio
Fluids
fluids

ASJC Scopus subject areas

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

Cite this

Patterns of bifurcating convective flows in long horizontal cavities. / Gelfgat, Alexander Yu; Bar-Yoseph, Pinhas Z.; Yarin, Alexander.

In: International Symposium on Advances in Computational Heat Transfer, 01.01.1997.

Research output: Contribution to journalConference article

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AU - Bar-Yoseph, Pinhas Z.

AU - Yarin, Alexander

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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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JO - International Symposium on Advances in Computational Heat Transfer

JF - International Symposium on Advances in Computational Heat Transfer

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