The beads-on-string structure of viscoelastic threads

Clasen, C. and Eggers, J. and Fontelos, M. and Li, J. (2006) The beads-on-string structure of viscoelastic threads. Journal of Fluid Mechanics, 556. pp. 283-308. DOI https://doi.org/10.1017/S0022112006009633

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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 fluid 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 simplified 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.

Item Type:	Article
Uncontrolled Keywords:	2006 AREP BPI IA44A IA52 2006 P
Subjects:	99 - Other
Divisions:	99 - Other
Journal or Publication Title:	Journal of Fluid Mechanics
Volume:	556
Page Range:	pp. 283-308
Identification Number:	https://doi.org/10.1017/S0022112006009633
Depositing User:	Sarah Humbert
Date Deposited:	16 Feb 2009 13:01
Last Modified:	23 Jul 2013 10:06
URI:	http://eprints.esc.cam.ac.uk/id/eprint/206

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