Sedimentation, Peclet number, and hydrodynamic screening

被引：22

作者：

Benes, Kiley ^{[1
]}

Tong, Penger

Ackerson, Bruce J.

机构：

[1] Oklahoma State Univ, Dept Phys, Stillwater, OK 74078 USA

[2] Hong Kong Univ Sci & Technol, Dept Phys, Kowloon, Hong Kong, Peoples R China

来源：

PHYSICAL REVIEW E | 2007年 / 76卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.76.056302

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The sedimentation of hard spheres in a Newtonian solvent is studied as a function of Peclet number in the low-concentration limit. Two functional forms for the sedimentation velocity as a function of particle concentration are realized in the limit of high and low Peclet numbers. We argue that a more ordered phase occurs for large Peclet numbers. Measurements of settling in sheared suspensions support these contentions. Recent explanations of sedimentation in suspensions are examined in light of these results.

引用

页数：7

共 57 条

[1] Crystallization by settling in suspensions of hard spheres [J].

Ackerson, BJ ;

Paulin, SE ;

Johnson, B ;

van Megen, W ;

Underwood, S .

PHYSICAL REVIEW E, 1999, 59 (06) :6903-6913

[2] DYNAMIC LIGHT-SCATTERING AT LOW RATES OF SHEAR [J].

ACKERSON, BJ ;

CLARK, NA .

JOURNAL DE PHYSIQUE, 1981, 42 (07) :929-936

[3] Micro total analysis systems. 2. Analytical standard operations and applications [J].

Auroux, PA ;

Iossifidis, D ;

Reyes, DR ;

Manz, A .

ANALYTICAL CHEMISTRY, 2002, 74 (12) :2637-2652

[4] SEDIMENTATION IN A DILUTE DISPERSION OF SPHERES [J].

BATCHELOR, GK .

JOURNAL OF FLUID MECHANICS, 1972, 52 (MAR28) :245-+

[5] Spreading fronts and fluctuations in sedimentation [J].

Bergougnoux, L ;

Ghicini, S ;

Guazzelli, É ;

Hinch, J .

PHYSICS OF FLUIDS, 2003, 15 (07) :1875-1887

[6] Particle velocity fluctuations and correlation lengths in dilute sedimenting suspensions [J].

Bernard-Michel, G ;

Monavon, A ;

Lhuillier, D ;

Abdo, D ;

Simon, H .

PHYSICS OF FLUIDS, 2002, 14 (07) :2339-2349

[7]

BOARDMAN RP, 1961, THESIS LONDON U

[8]

BRINKMAN HC, 1947, APPL SCI RES, V1, P27

[9] MEASUREMENT OF THE AVERAGE VELOCITY OF SEDIMENTATION IN A DILUTE POLYDISPERSE SUSPENSION OF SPHERES [J].

BRUNEAU, D ;

ANTHORE, R ;

FEUILLEBOIS, F ;

AUVRAY, X ;

PETIPAS, C .

JOURNAL OF FLUID MECHANICS, 1990, 221 :577-596

[10]

CALFISH RE, 1985, PHYS FLUIDS, V28, P759, DOI DOI 10.1063/1.865095

← 1 2 3 4 5 6 →