Author:
LOEWENBERG M.,HINCH E. J.
Abstract
A boundary integral formulation is used to investigate the interaction
between a
pair of deformable drops in a simple shear flow. The interactions do not
promote
appreciably the breakup of the drops. For certain ratios of the viscosities
of
the drops
and the suspending fluid, the lubrication gap that separates the two drops
can diminish
rapidly in the extensional quadrant of the flow. Slight deformation endows
the drops
with an apparent short-range repulsive interaction: drop coalescence requires
van
der Waals attraction which was not included in this study. From the trajectories
of
different collisions, the self-diffusion coefficients that describe the
cross-flow migration
of the non-Brownian drops in a dilute sheared emulsion are obtained.
The self-diffusivities are very anisotropic, depend strongly on the viscosity
ratio, and depend modestly on the shear rate.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
174 articles.
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