The stability of drop shapes for translation at zero Reynolds number through a quiescent fluid
- Creators
- Koh, C. J.
- Leal, L. G.
Abstract
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=∞.
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.Files
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Additional details
- Eprint ID
- 10787
- Resolver ID
- CaltechAUTHORS:KOHpofa89
- Created
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2008-06-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field