EVOLUTION OF INSTABILITIES IN AN INFINITE POROUS LAYER HEATED FROM BELOW: THE EFFECT OF NEAR-RESONANT THERMAL FORCING.

D. A.S. Rees; D. S. Riley

EVOLUTION OF INSTABILITIES IN AN INFINITE POROUS LAYER HEATED FROM BELOW: THE EFFECT OF NEAR-RESONANT THERMAL FORCING.

D. A.S. Rees, D. S. Riley

University of Bristol

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

Abstract

The onset of Rayleigh-Benard convection in a saturated porous layer is considered when the boundary temperatures vary periodically in space. Attention is focused on the case of small amplitude, in-phase thermal modulations with a wavenumber close to the critical value for the unmodulated case. Weakly nonlinear theory and a spectral method are used to determine the stability of certain roll solutions and to calculate the evolution of the cross-roll, zigzag and sideband instabilities. It is shown that steady rolls with spatially deformed axes or spatially varying wavenumbers can result.

Original language	English
Pages (from-to)	59-66
Number of pages	8
Journal	American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume	94
Publication status	Published - 1 Dec 1987

ASJC Scopus subject areas

Mechanical Engineering
Fluid Flow and Transfer Processes

Cite this

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abstract = "The onset of Rayleigh-Benard convection in a saturated porous layer is considered when the boundary temperatures vary periodically in space. Attention is focused on the case of small amplitude, in-phase thermal modulations with a wavenumber close to the critical value for the unmodulated case. Weakly nonlinear theory and a spectral method are used to determine the stability of certain roll solutions and to calculate the evolution of the cross-roll, zigzag and sideband instabilities. It is shown that steady rolls with spatially deformed axes or spatially varying wavenumbers can result.",

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N2 - The onset of Rayleigh-Benard convection in a saturated porous layer is considered when the boundary temperatures vary periodically in space. Attention is focused on the case of small amplitude, in-phase thermal modulations with a wavenumber close to the critical value for the unmodulated case. Weakly nonlinear theory and a spectral method are used to determine the stability of certain roll solutions and to calculate the evolution of the cross-roll, zigzag and sideband instabilities. It is shown that steady rolls with spatially deformed axes or spatially varying wavenumbers can result.

AB - The onset of Rayleigh-Benard convection in a saturated porous layer is considered when the boundary temperatures vary periodically in space. Attention is focused on the case of small amplitude, in-phase thermal modulations with a wavenumber close to the critical value for the unmodulated case. Weakly nonlinear theory and a spectral method are used to determine the stability of certain roll solutions and to calculate the evolution of the cross-roll, zigzag and sideband instabilities. It is shown that steady rolls with spatially deformed axes or spatially varying wavenumbers can result.

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JO - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

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ER -

EVOLUTION OF INSTABILITIES IN AN INFINITE POROUS LAYER HEATED FROM BELOW: THE EFFECT OF NEAR-RESONANT THERMAL FORCING.

Abstract

ASJC Scopus subject areas

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