Steady buoyant droplets with circulation

Shin Shin Kao, Russel E. Caflisch

Research output: Contribution to journalArticlepeer-review


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 A=0 (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 Alim at which the droplet develops two corners. For 0≤A≤Alim, the solution is smooth; while for Alim<A, we do not find a solution.

Original languageEnglish (US)
Pages (from-to)1891-1902
Number of pages12
JournalPhysics of Fluids
Issue number8
StatePublished - Aug 1998

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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