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Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid

Stone, H. A. and Leal, L. G. (1989) Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. Journal of Fluid Mechanics, 198 . pp. 399-427. ISSN 0022-1120. doi:10.1017/S0022112089000194.

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In this paper we examine some general features of the time-dependent dynamics of drop deformation and breakup at low Reynolds numbers. The first aspect of our study is a detailed numerical investigation of the ‘end-pinching’ behaviour reported in a previous experimental study. The numerics illustrate the effects of viscosity ratio and initial drop shape on the relaxation and/or breakup of highly elongated droplets in an otherwise quiescent fluid. In addition, the numerical procedure is used to study the simultaneous development of capillary-wave instabilities at the fluid-fluid interface of a very long, cylindrically shaped droplet with bulbous ends. Initially small disturbances evolve to finite amplitude and produce very regular drop breakup. The formation of satellite droplets, a nonlinear phenomenon, is also observed.

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Additional Information:© 1989 Cambridge University Press. Received September 30 1987; Revised June 24 1988. Published Online April 21 2006. This work was supported by a grant from the fluid mechanics program of the National Science Foundation. One of the authors (H. A. S.) was partially supported through an IBM Graduate Research Fellowship.
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NSF Fluid Mechanics ProgramUNSPECIFIED
IBM Graduate Research FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20120517-110252908
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ID Code:31527
Deposited By: Tony Diaz
Deposited On:22 May 2012 17:06
Last Modified:09 Nov 2021 19:54

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