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A numerical study of the deformation and burst of a viscous drop in general shear flows
Abstract
The time-dependent deformation and burst of a viscous drop in an arbitrary shear flow at zero Reynolds number is studied. The viscosities of the drop and the suspending fluid are assumed to be equal. A numerical scheme to track the (non-axisymmetric) drop shape in time is presented, and used to investigate the deformation induced by two-dimensional shear and orthogonal rheometer flows. Steady deformations, critical flow rates and burst modes are determined, and compared with asymptotic (small and large) deformation theories, and with experiment.
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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
An experimental study of transient effects in the breakup of viscous drops
Stone, H. A., Bentley, B. J., & Leal, L. G. (1986) · Journal of Fluid Mechanics · doi:10.1017/s0022112086001118 · Cited by 455
Macro, micro and nanostructured morphologies of multiphase polymer systems
Huang, H. (2011) · Handbook of Multiphase Polymer Systems · doi:10.1002/9781119972020.ch6 · Cited by 16
Metadata
- Authors
- Rallison, J. M.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1981-08
- Volume
- 109
- Pages
- 465-482
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2152383663
- Cited by
- 215
- References
- 0
- FWCI
- 3.26
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A numerical study of the deformation and burst of a viscous drop in general shear flows. https://app.cochat.ai/papers/10.1017/s002211208100116x
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- Rallison, J. M. (1981). A numerical study of the deformation and burst of a viscous drop in general shear flows. Journal of Fluid Mechanics. https://doi.org/10.1017/s002211208100116x
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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