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

Research output: Contribution to journalConference article

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 languageEnglish
Pages (from-to)59-66
Number of pages8
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume94
Publication statusPublished - 1 Dec 1987

ASJC Scopus subject areas

  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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