DOI: 10.1017/s0022112087000880. Measurement of shear-induced self-diffusion in concentrated suspensions of spheres

Measurement of shear-induced self-diffusion in concentrated suspensions of spheres

10.1017/s0022112087000880

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

A novel technique is presented for determining the coefficient of shear-induced particle self-diffusion in concentrated suspensions of solid spheres, which relies on the fact that this coefficient can be computed from the measured variations in the time taken by a single marked particle in the suspension to complete successive circuits in a Couette device. Since this method does not involve the direct measurement of the lateral position of the marked particle, it requires a much simpler experiment than that used by Eckstein, Bailey & Shapiro (1977) which is shown to be constrained by wall effects at high particle concentration. The diffusion coefficient thus determined was found to be proportional to the product γa2, where γ is the shear rate and a the particle radius, and to have the asymptotic form 0.5γa2ϕ2 in the dilute limit when the particle concentration ϕ → 0.

Bibliography

Leighton, D., & Acrivos, A. (1987). Measurement of shear-induced self-diffusion in concentrated suspensions of spheres. Journal of Fluid Mechanics, 177, 109â131.

Authors 2

David Leighton (first)
Andreas Acrivos (additional)

References 8 Referenced 384

Graham, A. L. & Steele, R. D. 1984 Particle clusters in concentrated suspensions. 2. Information theory and particle clusters.Ind. Engng Chem. Fundam. 23,411.
Frankel, N. A. & Acrivos, A. 1968 Heat and mass transfer from small spheres and cylinders freely suspended in shear flow.Phys. Fluids 11,1913.
Graham, A. L. & Bird, R. B. 1984 Particle clusters in concentrated suspensions. 1. Experimental observations of particle clusters.Ind. Engng Chem. Fundam. 23,406.
Okagawa, A. , Ennis, G. J. & Mason, S. G. 1978 Memory impairment in flowing suspensions. I. Some theoretical considerations.Can. J. Chem. 56,2815.
Leighton, D. & Acrivos, A. 1986 The shear induced migration of particles in concentrated suspensions.J. Fluid Mech. (submitted). (10.1017/S0022112087002155)
Karnis, A. , Goldsmith, H. L. & Mason, S. G. 1966 The kinetics of flowing dispersions. I. Concentrated suspensions of rigid particles.J. Colloid Interface Sci. 22,531.
Eckstein, E. C. 1975 Particle migration in a linear shear flow. Ph.D. thesis,Massachusetts Institute of Technology.
Eckstein, E. C. , Bailey, D. G. & Shapiro, A. H. 1977 Self-diffusion of particles in shear flow of a suspension.J. Fluid Mech. 79,191.

Dates

Type	When
Created	19 years, 4 months ago (April 21, 2006, 10:08 a.m.)
Deposited	6 years, 2 months ago (June 6, 2019, 1:50 p.m.)
Indexed	1 day, 4 hours ago (Sept. 3, 2025, 7:07 a.m.)
Issued	38 years, 5 months ago (April 1, 1987)
Published	38 years, 5 months ago (April 1, 1987)
Published Online	19 years, 4 months ago (April 21, 2006)
Published Print	38 years, 5 months ago (April 1, 1987)

Funders 0

None

BibTeX

@article{Leighton_1987, title={Measurement of shear-induced self-diffusion in concentrated suspensions of spheres}, volume={177}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112087000880}, DOI={10.1017/s0022112087000880}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Leighton, David and Acrivos, Andreas}, year={1987}, month=apr, pages={109–131} }

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