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Phys. Rev. E 53, R2057–R2059 (1996)

Instability threshold in the Bénard-Marangoni problem

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Leo M. Rabin
Cotec, Inc., 5320 Caleb Drive, Columbus, Ohio 43220

Received 30 June 1995; published in the issue dated March 1996

Threshold values for the onset of Bénard-Marangoni convection and the critical dimensionless wave number which characterizes the size of the cells in a liquid layer heated from below are obtained by using linear perturbation techniques. The regions of instability in the three-dimensional space of the Marangoni, Rayleigh, and Biot numbers are determined for the coupled thermocapillary-buoyancy instability problem.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.53.R2057
DOI:
10.1103/PhysRevE.53.R2057
PACS:
47.20.Dr, 47.20.Bp, 44.90.+c

See Also

Comment: A. Thess, Comment I on “Instability threshold in the Bénard-Marangoni problem”, Phys. Rev. E 56, 4896 (1997).

Comment: Stephen J. VanHook and J. B. Swift, Comment II on “Instability threshold in the Bénard-Marangoni problem”, Phys. Rev. E 56, 4897 (1997).