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RESEARCH PAPERS

The Bursting of Pointed Drops in Slow Viscous Flow

[+] Author and Article Information
J. Buckmaster

Mathematics Department, New York University, University Heights, N. Y.

J. Appl. Mech 40(1), 18-24 (Mar 01, 1973) (7 pages) doi:10.1115/1.3422923 History: Received November 01, 1971; Revised February 01, 1972; Online July 12, 2010

Abstract

Viscous drops, confined by the slow axisymmetric straining motion of a viscous fluid, are considered when the surface tension is weak. The shape of the drops is determined using slender-body theory, and it is found that steady solutions only exist for sufficiently small drop viscosities. Nonuniqueness exists, with bifurcation from a simple quadratic solution. At high drop viscosities, when there are no steady solutions, a description of the unsteady elongation of shape-preserving drops is obtained. This is the bursting phenomenon described experimentally by Taylor [1].

Copyright © 1973 by ASME
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