Steady buoyant droplets with circulation

Shin Shin Kao, Russel Caflisch

Research output: Contribution to journalArticle

Abstract

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
Volume10
Issue number8
DOIs
StatePublished - 1998

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Magnus effect
vortex sheets
steady flow
buoyancy
caps
vorticity
fluids

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Steady buoyant droplets with circulation. / Kao, Shin Shin; Caflisch, Russel.

In: Physics of Fluids, Vol. 10, No. 8, 1998, p. 1891-1902.

Research output: Contribution to journalArticle

Kao, SS & Caflisch, R 1998, 'Steady buoyant droplets with circulation', Physics of Fluids, vol. 10, no. 8, pp. 1891-1902. https://doi.org/10.1063/1.869706
Kao, Shin Shin ; Caflisch, Russel. / Steady buoyant droplets with circulation. In: Physics of Fluids. 1998 ; Vol. 10, No. 8. pp. 1891-1902.
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