Recriprocal Theorem for Concentric Compound Drops in Arbitrary Stokes Flows

H. Haj-Harir, A. Nadim, A. Borhan

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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 languageEnglish (US)
Pages (from-to)265-277
Number of pages13
JournalJournal of Fluid Mechanics
Volume252
DOIs
StatePublished - Jul 1 1993

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All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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