Bénard convection with time-periodic heating
- 1 April 1984
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 27 (4) , 796-803
- https://doi.org/10.1063/1.864707
Abstract
A thin liquid layer, which is heated from below, has its lower boundary modulated sinusoidally in time with amplitude δ. Weakly‐nonlinear stability theory shows that the modulation produces a range of stable hexagons near the critical Rayleigh number. For small δ the range is O(δ4) in size and decreases with modulation frequency. These hexagons bifurcate subcritically and correspond to downflow at cell centers.Keywords
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