Steady buoyant droplets with circulation
نویسندگان
چکیده
Numerical solutions are presented for the steady flow corresponding to a two-dimensional moving droplet with circulation. Differences in the density of the droplet and surrounding fluid result in a buoyancy force which is balanced by a lift force due to the Magnus effect. The droplet is assumed to have constant vorticity in its interior, and its boundary may be a vortex sheet, as in a Prandtl– Batchelor flow. Only symmetric solutions are calculated. For Atwood number A50 ~no density difference! the droplet is a circle. As the Atwood number is increased, the droplet shape begins to resemble a circular cap with a dimpled base. There is a critical Atwood number A lim at which the droplet develops two corners. For 0<A,A lim , the solution is smooth; while for A lim,A , we do not find a solution. © 1998 American Institute of Physics. @S1070-6631~98!02908-0#
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