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The stability of drop shapes for translation at zero Reynolds number through a quiescent fluid

Koh, C. J. and Leal, L. G. (1989) The stability of drop shapes for translation at zero Reynolds number through a quiescent fluid. Physics of Fluids A, 1 (8). pp. 1309-1313. ISSN 0899-8213. doi:10.1063/1.857359.

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Boundary-integral calculations are used to investigate the evolution of the shape of an initially nonspherical drop that translates at zero Reynolds through a quiescent, unbounded fluid. For finite capillary numbers, it is shown that the drop reverts to a sphere, provided the initial deformation is not too large. However, drops that are initially deformed to a greater extent are shown to deform continuously, forming an elongated shape with a tail when initially prolate, and a flattened shape with a cavity at the rear when initially oblate. The critical degree of deformation decreases as the capillary number increases and appears to be consistent with the results of Kojima et al. [Phys. Fluids 27, 19 (1984)], who showed that the spherical drop is unstable to infinitesimal disturbances in the limit Ca=∞.

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Additional Information:© 1989 American Institute of Physics. Received 19 January 1989; accepted 21 April 1989. C.J.K. wishes to thank Dr. I.S. Kang for his helpful comments and discussion. This work was supported by a grant from the Fluid Mechanics Program of the National Science Foundation.
Issue or Number:8
Record Number:CaltechAUTHORS:KOHpofa89
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10787
Deposited By: Tony Diaz
Deposited On:10 Jun 2008
Last Modified:08 Nov 2021 21:11

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