The wall shear rate distribution for flow in random sphere packings

Details The wall shear rate distribution for flow in random sphere packings The wall shear rate distribution for flow in random sphere packings

2007-06-19

arxiv.org/abs/0706.2820v2

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, 1 table, RevTeX 4; significantly revised with significantly extended scope

Scientific paper

10.1103/PhysRevLett.100.084501

The wall shear rate distribution P(gamma) is investigated for pressure-driven Stokes flow through random arrangements of spheres at packing fractions 0.1 <= phi <= 0.64. For dense packings, P(gamma) is monotonic and approximately exponential. As phi --> 0.1, P(gamma) picks up additional structure which corresponds to the flow around isolated spheres, for which an exact result can be obtained. A simple expression for the mean wall shear rate is presented, based on a force-balance argument.

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