Mathematics
Scientific paper
Jan 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrva..37..200b&link_type=abstract
Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 37, Jan. 1, 1988, p. 200-206. Research supported by the W
Mathematics
11
Annuli, Free Boundaries, Free Convection, Interfacial Tension, Marangoni Convection, Oils, Air, Branching (Mathematics), Mercury (Metal), Prandtl Number, Rayleigh Number, Silicon, Surface-Tension-Driven Instability
Scientific paper
Thermal convection is experimentally studied in an annular cell with free-free boundary conditions: a silicon oil floating on mercury and in contact with air. Surface tension forces are comparable to buoyancy forces in driving the convection. The transition to a cellular pattern of rolls is via a forward bifurcation. Above the onset there is a broad band of stable roll patterns differing in their wavelength. Inserting a radial wall in the cell reduces considerably the band of stable patterns and modulates their wavelength.
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