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Many-sphere hydrodynamic interactions and mobilities in a suspension

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  • Mazur, P.
  • van Saarloos, W.

Abstract

A general scheme is presented to evaluate the mobility tensors of an arbitrary number of spheres, immersed in a viscous fluid, in a power series expansion in R-1, where R is a typical distance between spheres. Some general properties of these (translational and rotational) mobility tensors are discussed. Explicit expressions are derived up to order R-7. To this order, hydrodynamic interactions between two, three and four spheres contribute.

Suggested Citation

  • Mazur, P. & van Saarloos, W., 1982. "Many-sphere hydrodynamic interactions and mobilities in a suspension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 21-57.
    • Handle: RePEc:eee:phsmap:v:115:y:1982:i:1:p:21-57
    DOI: 10.1016/0378-4371(82)90127-3
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    References listed on IDEAS

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    1. Mazur, P. & van der Zwan, G., 1978. "Brownian motion in a fluid close to its' critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 483-500.
    2. Oppenheim, Felix E., 1971. "Comment: Defense of Noncognitivism Defended," American Political Science Review, Cambridge University Press, vol. 65(4), pages 1115-1116, December.
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    Cited by:

    1. Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.

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