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.
|Number of pages||8|
|Journal||American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD|
|Publication status||Published - 1 Dec 1987|
ASJC Scopus subject areas
- Mechanical Engineering
- Fluid Flow and Transfer Processes