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Article
Homogenization of 2-Phase Emulsions
Proceedings of the Royal Society of Edinburgh Section A-Mathematics
  • Robert Lipton
  • Bogdan M. Vernescu, Worecester Polytechnic Institute
Document Type
Article
Publication Date
4-1-1994
Disciplines
Abstract
We consider an emulsion of two Stokes fluids, one of which is periodically distributed in the form of small spherical bubbles. The effects of surface tension on the bubble boundaries are modelled mathematically, as in the work of G. I. Taylor, by a jump only in the normal component of the traction. For a given volume fraction of bubbles, we consider the two-scale convergence, and in the fine phase limit we find that the bulk flow is described by an anisotropic Stokes fluid. The effective viscosity tenser is consistent with the bulk stress formula obtained by Batchelor [2].
DOI
10.1017/S0308210500030146
Publisher Statement

© 1994 Cambridge University Press. Available on publisher's site at http://dx.doi.org/10.1017/S0308210500030146

Citation Information
Robert Lipton and Bogdan M. Vernescu. "Homogenization of 2-Phase Emulsions" Proceedings of the Royal Society of Edinburgh Section A-Mathematics Vol. 124 Iss. 6 (1994) p. 1119 - 1134
Available at: http://works.bepress.com/bogdan_vernescu/2/