Sedimentation in ordered emulsions of drops at low Reynolds numbers

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Abstract

We determine the sedimentation velocity of a periodic array of drops through a viscous Newtonian fluid by extending an earlier analysis for the rigid particles. The results, which are given for the complete range of volume fraction c and the viscosity ratio K for the simple cubic, bodycentered cubic and face-centered cubic arrays, are in excellent agreement with the previously known results for the two limiting cases of the rigid spheres (K=∞) and the spherical bubbles (K=0) for all values of c and with an asymptotic expression for c≪1 for all K.

Original languageEnglish (US)
Pages (from-to)542-556
Number of pages15
JournalZAMP Zeitschrift für angewandte Mathematik und Physik
Volume38
Issue number4
DOIs
StatePublished - Jul 1987

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ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)

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