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Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid
Abstract
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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Cited by
A front-tracking method for viscous, incompressible, multi-fluid flows
Unverdi, S. O., & Tryggvason, G. (1992) · Journal of Computational Physics · doi:10.1016/0021-9991(92)90307-k · Cited by 2,387
Regimes of coalescence and separation in droplet collision
QIAN, J., & LAW, C. K. (1997) · Journal of Fluid Mechanics · doi:10.1017/s0022112096003722 · Cited by 841
Polymer particles that switch shape in response to a stimulus
Yoo, J.-W., & Mitragotri, S. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1000346107 · Cited by 275
Horák, Z., Fortelný, I., Kolařík, J., Hlavatá, D., & Sikora, A. (2005) · Encyclopedia of Polymer Science and Technology · doi:10.1002/0471440264.pst276 · Cited by 12
Metadata
- Authors
- Stone, H. A., & Leal, L. G.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1989-01
- Volume
- 198
- Pages
- 399-427
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W1973552399
- Cited by
- 437
- References
- 0
- FWCI
- 12.87
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. https://app.cochat.ai/papers/10.1017/s0022112089000194
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- Stone, H. A., & Leal, L. G. (1989). Relaxation and breakup of an initially extended drop in an otherwise quiescent fluid. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112089000194
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