Boeck T, Jurgk M, Bahr U. Oscillatory Rayleigh-Marangoni convection in a layer heated from above: numerical simulations with an undeformable free surface.
PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2003;
67:027303. [PMID:
12636867 DOI:
10.1103/physreve.67.027303]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/06/2002] [Indexed: 05/24/2023]
Abstract
Joint action of buoyancy and thermocapillary forces can destabilize the motionless state in a liquid layer heated from above due to the coupling of internal and surface waves. The nonlinear evolution of this oscillatory instability is studied using three-dimensional direct numerical simulations with a pseudospectral Fourier-Chebyshev code. Alternating rolls and standing, oscillating squares are observed as final convective patterns. The flow is strongly localized near the free surface. Buoyancy plays a negligible role in kinetic energy production.
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