Sedimentation of a random dilute suspension

  • Russet E. Caflisch
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 230)


Recently Batchelor has calculated the average sedimentation speed of a random dilute suspension. A description of that work is presented here, along with a computation of the variance in the speed. It is shown that under Batchelor's assumptions and in the appropriate continuum limit, the variance is infinite.


Stokes Equation Stoke Flow Dilute Suspension Approximation Rule Volume Exclusion 
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  1. 1.
    G. K. Batchelor. “Sedimentation in a Dilute Suspension of Spheres”. JFM (1972) 52,245–268.Google Scholar
  2. 2.
    R. E. Caflisch and J. H. C. Luke. “Variance in the Sedimentation Speed of a Suspension”. Physics of Fluids, submitted.Google Scholar
  3. 3.
    F. Feuillebois. “Sedimentation in a Dispersion with Vertical Inhomogenities”. JFM (1984) 139, 145–171.Google Scholar
  4. 4.
    H. Hasimoto. “On the Periodic Fundamental Solutions of the Stokes Equations and Their Application to Viscous Flow Past a Cubic Array of Spheres”. JFM (1958) 5, 317–328.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Russet E. Caflisch
    • 1
  1. 1.Courant Institute of Mathematical SciencesFrance

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