DOI: 10.1017/s0022112071000788. The effect of weak Brownian rotations on particles in shear flow

The effect of weak Brownian rotations on particles in shear flow

10.1017/s0022112071000788

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

Axisymmetric particles in zero Reynolds number shear flow execute closed orbits. In this paper we consider the role of small Brownian couples in establishing a steady-state probability distribution for a particle being on any particular orbit. After presenting the basic equations, we derive an expression for the equilibrium distribution. This result is then used to calculate some bulk properties for a suspension of such particles, and these predicted properties are compared with available experimental observation.

Bibliography

Leal, L. G., & Hinch, E. J. (1971). The effect of weak Brownian rotations on particles in shear flow. Journal of Fluid Mechanics, 46(4), 685â703.

Authors 2

L. G. Leal (first)
E. J. Hinch (additional)

References 14 Referenced 245

Jeffery, G. B. 1922 Proc. Roy. Soc. A,102,161. (10.1098/rspa.1922.0078)
Eisenschitz, R. 1932 Z. Physik. Chem. A,158,85.
Harper, E. Y. & Chang, I-D. 1968 J. Fluid Mech. 33,209. (10.1017/S0022112068001254)
Batchelor, G. K. 1956 J. Fluid Mech. 1,177. (10.1017/S0022112056000123)
Taylor, G. I. 1923 Proc. Roy. Soc. A,103,58. (10.1098/rspa.1923.0040)
Mason, S. G. & Manley, R. 1956 Proc. Roy. Soc. A,238,117.
Binder, A. 1939 J. Appl. Phys. 10,711. (10.1063/1.1707254)
Bretherton, F. P. 1962 J. Fluid Mech. 14,284. (10.1017/S002211206200124X)
Burgers, J. M. 1938 In Second Report on Viscosity and Plasticity, chapter 3 Kon. Ned. Akad. Wet. Verhand. (Eerste Sectie) 16,113.
Saffman, P. G. 1956 J. Fluid Mech. 1,540. (10.1017/S0022112056000354)
Scheraga, H. A. 1955 J. Chem. Phys. 23,1526. (10.1063/1.1742341)
Batchelor, G. K. 1970 J. Fluid Mech. 41,545. (10.1017/S0022112070000745)
Anczurowski, E. & Mason, S. G. 1967 J. Colloid Interface Sci. 23,522. (10.1016/0021-9797(67)90199-3)
Peterin, A. 1938 Z. Physik,111,232. (10.1007/BF01332211)

Dates

Type	When
Created	19 years, 4 months ago (March 29, 2006, 12:38 a.m.)
Deposited	6 years, 4 months ago (April 3, 2019, 11:26 a.m.)
Indexed	2 days, 20 hours ago (Aug. 22, 2025, 12:47 a.m.)
Issued	54 years, 3 months ago (April 27, 1971)
Published	54 years, 3 months ago (April 27, 1971)
Published Online	19 years, 4 months ago (March 29, 2006)
Published Print	54 years, 3 months ago (April 27, 1971)

Funders 0

None

BibTeX

@article{Leal_1971, title={The effect of weak Brownian rotations on particles in shear flow}, volume={46}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112071000788}, DOI={10.1017/s0022112071000788}, number={4}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Leal, L. G. and Hinch, E. J.}, year={1971}, month=apr, pages={685–703} }

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