Stochastic Modelling of a Dilute Fluid-Particle Suspension

  • Russel E. Caflisch
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 9)


The bulk properties (such as average sedimentation speed and diffusion coefficient) in a sedimenting suspension of solid particles are sensitive to the statistical distribution of the particles. In this paper a method for determining the two particle distribution is described. In this method the particles are treated as point forces and only three particle interactions are included. Under several approximations it is shown that the two particle distribution separates into a product of functions of distance between the pair and of angle between the pair and the vertical.


Stokes Equation Single Particle Impact Parameter Particle Distribution Particle Interaction 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Russel E. Caflisch
    • 1
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityUSA

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