The Mathematical Institute, University of Oxford, Eprints Archive

Persistence of memory in drop breakup: the breakdown of universality

Doshi, P. and Cohen, I. and Zhang, W. W. and Siegel, M. and Howell, P. D. and Basaran, O. A. and Nagel, S. R. (2003) Persistence of memory in drop breakup: the breakdown of universality. Science, 302 . pp. 1186-1188.

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Official URL: http://www.sciencemag.org/content/vol302/issue5648...

Abstract

A low-viscosity drop breaking apart inside a viscous fluid is encountered when air bubbles, entrained in thick syrup or honey, rise and break apart. Experiments, simulations, and theory show that the breakup under conditions in which the interior viscosity can be neglected produces an exceptional form of singularity. In contrast to previous studies of drop breakup, universality is violated so that the final shape at breakup retains an imprint of the initial and boundary conditions. A finite interior viscosity, no matter how small, cuts off this form of singularity and produces an unexpectedly long and slender thread. If exterior viscosity is large enough, however, the cutoff does not occur because the minimum drop radius reaches subatomic dimensions first.

Item Type:Article
Subjects:D - G > Fluid mechanics
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:130
Deposited By:Peter Howell
Deposited On:09 Sep 2004
Last Modified:20 Jul 2009 14:18

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