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APS » Journals » Phys. Rev. E » Volume 51 » Issue 5
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Phys. Rev. E 51, R3815–R3818 (1995)

Statistical theory of sedimentation of disordered suspensions

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Hisao Hayakawa
Department of Physics, Tohoku University, Sendai 980-77, Japan
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080‡

Kengo Ichiki
Department of Physics, Tohoku University, Sendai 980-77, Japan

Received 25 July 1994; published in the issue dated May 1995

An analytical treatment for the sedimentation rate of disordered suspensions is presented in the context of a resistance problem. From the calculation it is confirmed that the lubrication effect is important in contrast to the suggestion by Brady and Durlofsky [J. F. Brady and L. J. Durlofsky, Phys. Fluids 31, 717 (1988)]. The calculated sedimentation rate agrees well with the experimental results throughout the range of the volume fraction.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.51.R3815
DOI:
10.1103/PhysRevE.51.R3815
PACS:
05.60.+w, 05.40.+j, 47.55.Kf, 83.70.Hq
 
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