The Beads-on-String Structure of Viscoelastic Threads
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06-P-04.pdf
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Author(s)
Clasen, Christian
Eggers, Jens
Fontelos, Marco A.
Li, Jie
McKinley, Gareth H.
Date Issued
January 23, 2007
Series/Report no.
06-P-04
Abstract
By adding minute concentrations of a high molecular weight polymer, liquid jets or bridges collapsing under the action of surface tension develop a characteristic shape of uniform threads connecting spherical
uid drops. In this paper, high-precision measurements of this beads-on-string structure are combined with a theoretical analysis of the limiting case of large polymer relaxation times and high polymer extensibilities, for which the evolution can be divided into two distinct regimes. For times smaller than the polymer relaxation time, over which the beads-on-string structure develops, we give a simplfied
local description, which still retains the essential physics of the problem. At times much larger than the relaxation time, we show that the solution consists of exponentially thinning threads connecting almost spherical drops. Both experiment and theoretical analysis of a one-dimensional model equation reveal a self-similar structure of the corner where a thread is attached to the neighbouring drops.
Description
Submitted to J. Fluid Mech.
Subjects
Beads on string
Capillary thinning
Self similar solution
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