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Symmetry of a periodic array of particles and a viscous fluid flow in the stokes approximation

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Abstract

A suspension in which rigid spherical particles of the same radius form a periodic array is considered. A general solution of the Stokes equations periodic with respect to this array is obtained. With reference to a fluid flow through a fixed array and a shear flow with frozen-in particles it is shown that taking the array structure and the symmetry of the conditions on the particle surface into account leads to a considerable simplification of the problem and makes it possible to determine the velocity and pressure distributions over the fluid.

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Authors
  1. S. I. Martynov
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  2. A. O. Syromyasov
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Additional information

Original Russian Text © S.I. Martynov, A.O. Syromyasov, 2007, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2007, Vol. 42, No. 3, pp. 7–20.

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Martynov, S.I., Syromyasov, A.O. Symmetry of a periodic array of particles and a viscous fluid flow in the stokes approximation. Fluid Dyn 42, 340–353 (2007). https://doi.org/10.1134/S0015462807030027

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  • DOI: https://doi.org/10.1134/S0015462807030027

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