Abstract
The Lorentz reciprocal theorem is generalized and applied to the study of the quasi-steady motion of a concentric spherical (CS) compound drop at zero Reynolds number. Using this result, the migration velocities of a force-free CS compound drop placed in a general ambient Stokes flow, as well as the forces on each drop when subjected to specified migration velocities, are calculated. The latter constitutes a generalization of Faxen's law to the case of a CS compound drop. Also some earlier results on the thermocapillary migration of such drops (Borhan et al. 1992) are rederived more simply and in greater generality.
Original language | English (US) |
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Pages (from-to) | 265-277 |
Number of pages | 13 |
Journal | Journal of Fluid Mechanics |
Volume | 252 |
DOIs | |
State | Published - Jul 1 1993 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics