Wall shear rate distribution for flow in random sphere packings

被引:3
|
作者
Warren, Patrick B. [1 ]
Stepanek, Frantisek [2 ]
机构
[1] Unilever R&D Port Sunlight, Wirral CH63 3JW, Merseyside, England
[2] Univ London Imperial Coll Sci Technol & Med, London SW7 2AZ, England
关键词
D O I
10.1103/PhysRevLett.100.084501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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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页数:4
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