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Inertial migration of a small sphere in linear shear flows
Abstract
The motion of a small, rigid sphere in a linear shear flow is considered. Saffman's analysis is extended to other asymptotic cases in which the particle Reynolds number based on its slip velocity is comparable with or larger than the square root of the particle Reynolds number based on the velocity gradient. In all cases, both particle Reynolds numbers are assumed to be small compared to unity. It is shown that, as the Reynolds number based on particle slip velocity becomes larger than the square root of the Reynolds number based on particle shear rate, the magnitude of the inertial migration velocity rapidly decreases to very small values. The latter behaviour suggests that contributions that are higher order in the particle radius may become important in some situations of interest.
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Citations
Cites
The lift on a small sphere in a slow shear flow
Saffman, P. G. (1965) · Journal of Fluid Mechanics · doi:10.1017/s0022112065000824 · Cited by 3,426
The transverse force on a spinning sphere moving in a viscous fluid
Rubinow, S. I., & Keller, J. B. (1961) · Journal of Fluid Mechanics · doi:10.1017/s0022112061000640 · Cited by 1,074
The lift force on a spherical body in a rotational flow
Auton, T. R. (1987) · Journal of Fluid Mechanics · doi:10.1017/s002211208700260x · Cited by 541
Particle Motions in a Viscous Fluid
Leal, L. G. (1980) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.12.010180.002251 · Cited by 520
The virtual mass and lift force on a sphere in rotating and straining inviscid flow
Drew, D. A., & Lahey, R. T. (1987) · International Journal of Multiphase Flow · doi:10.1016/0301-9322(87)90011-5 · Cited by 435
Aerosol particle deposition in numerically simulated channel flow
McLaughlin, J. B. (1989) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.857344 · Cited by 348
Self-citationMaximum dissipation resulting from lift in a slow viscous shear flow
Harper, E. Y., & Chang, I. (1968) · Journal of Fluid Mechanics · doi:10.1017/s0022112068001254 · Cited by 122
The force on a small sphere in slow viscous flow
Drew, D. A. (1978) · Journal of Fluid Mechanics · doi:10.1017/s0022112078002177 · Cited by 44
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Numerical approaches for motion of dispersed particles, droplets and bubbles
Loth, E. (2000) · Progress in Energy and Combustion Science · doi:10.1016/s0360-1285(99)00013-1 · Cited by 403
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Kok, J. F., & Renno, N. O. (2009) · Journal of Geophysical Research: Atmospheres · doi:10.1029/2009jd011702 · Cited by 314
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Mei, R. (1996) · Experiments in Fluids · doi:10.1007/bf01893300 · Cited by 268
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Metadata
- Authors
- McLaughlin, J. B.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1991-03
- Volume
- 224
- Pages
- 261-274
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2099788390
- Cited by
- 425
- References
- 8
- FWCI
- 30.72
- Type
- journal article
- Language
- en
- Open access
- closed
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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).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
