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Slow flow through stationary random beds and suspensions of spheres

Published online by Cambridge University Press:  29 March 2006

T. S. Lundgren
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Abstract

Stokes flow through a random, moderately dense bed of spheres is treated by a generalization of Brinkman's (1947) method, which is applicable to both stationary beds and suspensions. For stationary beds, Darcy's law with a permeability result similar to Brinkman's is derived. For suspensions an effective viscosity μ/(1–2·60ψ) is found, where ψ is the volume fraction of spheres. Also, an expression for the settling velocity is derived.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 51 , Issue 2 , 25 January 1972 , pp. 273 - 299
Copyright
© 1972 Cambridge University Press

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