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Phys. Rev. Lett. 75, 4397–4400 (1995)

Long-Wavelength Instability in Surface-Tension-Driven Bénard Convection

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Stephen J. VanHook*, Michael F. Schatz, William D. McCormick, J. B. Swift, and Harry L. Swinney
Center for Nonlinear Dynamics and Department of Physics, University of Texas at Austin, Austin, Texas 78712

Received 22 June 1995; published in the issue dated 11 December 1995

Laboratory studies reveal a deformational instability that leads to a drained region (dry spot) in an initially flat liquid layer (with a free upper surface) heated uniformly from below. This long-wavelength instability supplants hexagonal convection cells as the primary instability in viscous liquid layers that are sufficiently thin or are in microgravity. The instability occurs at a temperature gradient 35% smaller than predicted by linear stability theory. Numerical simulations show a drained region qualitatively similar to that seen in the experiment.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.75.4397
DOI:
10.1103/PhysRevLett.75.4397
PACS:
47.20.Dr, 47.20.Ky, 47.54.+r, 68.15.+e

*Electronic address: svanhook@chaos.ph.utexas.edu

Electronic address: schatz@chaos.ph.utexas.edu

Electronic address: swinney@chaos.ph.utexas.edu