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

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 08期

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.

引用

页数：4

共 50 条

[1] Pressure loss and wall shear stress in flow through confined sphere packings
Riefler, Norbert
Heiland, Michael
Raebiger, Norbert
Fritsching, Udo
CHEMICAL ENGINEERING SCIENCE, 2012, 69 (01) : 129 - 137
[2] Shear flow of sphere packings in the geometric limit
Peyneau, P. -E.
Roux, J. -N.
XVTH INTERNATIONAL CONGRESS ON RHEOLOGY - THE SOCIETY OF RHEOLOGY 80TH ANNUAL MEETING, PTS 1 AND 2, 2008, 1027 : 947 - 949
[3] Conductivity of random sphere packings: Effects of a size distribution
Nettelblad, B
Niklasson, GA
PHYSICAL REVIEW E, 1996, 53 (04): : 3864 - 3866
[4] Statistical analysis of random sphere packings with variable radius distribution
Lochmann, Kristin
Oger, Luc
Stoyan, Dietrich
SOLID STATE SCIENCES, 2006, 8 (12) : 1397 - 1413
[5] BREAKTHROUGH PRESSURE FOR RANDOM SPHERE PACKINGS
ICZKOWSKI, RP
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1967, 6 (02): : 263 - +
[6] Creeping flow around a sphere in a shear flow close to a wall
Chaoui, M
Feuillebois, F
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2003, 56 : 381 - 410
[7] RANDOM LATTICES AND RANDOM SPHERE PACKINGS: TYPICAL PROPERTIES
Shlosman, Senya
Tsfasman, Michael A.
MOSCOW MATHEMATICAL JOURNAL, 2001, 1 (01) : 73 - 89
[8] ORIENTATIONAL ORDER IN DENSE RANDOM SPHERE PACKINGS
CLARKE, AS
WILEY, JD
PHYSICAL REVIEW B, 1988, 38 (06): : 3659 - 3664
[9] DISPLACEMENT OF LIQUIDS FROM RANDOM SPHERE PACKINGS
ICZKOWSKI, RP
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1968, 7 (04): : 572 - +
[10] Simulation of flow in bidisperse sphere packings
Maier, RS
Kroll, DM
Davis, HT
Bernard, RS
JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1999, 217 (02) : 341 - 347

← 1 2 3 4 5 →