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Medientyp:
E-Artikel
Titel:
Time-independent square patterns in surface-tension-driven Bénard convection
Beteiligte:
Schatz, Michael F.;
VanHook, Stephen J.;
McCormick, W. D.;
Swift, J. B.;
Swinney, Harry L.
Erschienen:
AIP Publishing, 1999
Erschienen in:
Physics of Fluids, 11 (1999) 9, Seite 2577-2582
Sprache:
Englisch
DOI:
10.1063/1.870120
ISSN:
1070-6631;
1089-7666
Entstehung:
Anmerkungen:
Beschreibung:
The transition between hexagonal and square patterns is investigated in laboratory experiments on surface-tension-driven Bénard (Marangoni) convection in a fluid of Prandtl number 81. As the Marangoni number M is increased, an ideal hexagonal pattern is supplanted by a defect-free square pattern; the transition occurs gradually with patterns of mixed hexagonal, pentagonal, and square symmetry arising at intermediate values of M. An elementary topological process associated with two-dimensional patterns governs local changes in morphology; the dynamics are relaxational with all patterns becoming stationary with M fixed for a sufficiently long time. The transition is hysteretic and depends strongly on the pattern wave number.