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Viscous Flow Past a Periodic Array of Spheres

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Abstract

Viscous flow past an infinite periodic array of rigid spheres is considered. The hydrodynamic interaction of all the particles in the array is taken into account. An analytical solution of the problem is proposed. The forces exerted by the fluid on the array particles are calculated and an expression for the velocity of fluid filtration through the array is obtained. The results are compared with the previous theoretical and experimental results.

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Authors
  1. S. I. Martynov
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Martynov, S.I. Viscous Flow Past a Periodic Array of Spheres. Fluid Dynamics 37, 889–895 (2002). https://doi.org/10.1023/A:1022396112523

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  • DOI: https://doi.org/10.1023/A:1022396112523

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