Effective viscosity of a periodic suspension

DOI10.1017/S0022112084001105zbMath0595.76104MaRDI QIDQ3727651

Kevin C. Nunan, Joseph B. Keller

Publication date: 1984

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodintegral equationcubic latticesincompressible Newtonian fluidvolume concentrationtractionconvergence of the Galerkin methodperiodic Green's functionarray of solid, neutrally-buoyant spheresasymptotic results for high concentrationsaverage deviatoric stressaverage rate of strainclose-packing concentrationinfinite, three-dimensional, periodic latticelow-concentration asymptotic expansions

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99)

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Cites Work

• On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
• Spatially periodic suspensions of convex particles in linear shear flows. III. Dilute arrays of spheres suspended in Newtonian fluids
• The stress system in a suspension of force-free particles
• Note on the symmetries of certain material tensors for a particle in Stokes flow

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