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 http://resolver.caltech.edu/CaltechAUTHORS:20120517-110252908
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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.
|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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|Deposited By:||Tony Diaz|
|Deposited On:||22 May 2012 17:06|
|Last Modified:||26 Dec 2012 15:13|
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