Abstract
Viscous fluid flow past an infinite periodic array of rigid spheres of the same radius is considered. A solution of the Stokes equations periodic in three variables is obtained for viscous incompressible flow with a linear velocity profile. The solution takes into account the hydrodynamic interaction of an infinite number of particles in the array. An expression for the effective viscosity of a suspension with a cubic array of particles is obtained.
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Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, 2005, pp. 3–14.
Original Russian Text Copyright © 2005 by Martynov and Syromyasov.
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Martynov, S.I., Syromyasov, A.O. Viscosity of a Suspension with a Cubic Array of Spheres in a Shear Flow. Fluid Dyn 40, 503–513 (2005). https://doi.org/10.1007/s10697-005-0089-1
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DOI: https://doi.org/10.1007/s10697-005-0089-1