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 language | English (US) |
---|---|
Pages (from-to) | 1891-1902 |
Number of pages | 12 |
Journal | Physics of Fluids |
Volume | 10 |
Issue number | 8 |
DOIs | |
State | Published - Aug 1998 |
ASJC Scopus subject areas
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes