Lateral force on a rigid sphere in large-inertia laminar pipe flow

被引：107

作者：

Matas, Jean-Philippe ^{[1
]}

Morris, Jeffrey F. ^{[2
]}

Guazzelli, Elisabeth ^{[3
]}

机构：

[1] Univ Grenoble 1, CNRS, LEGI, UMR 5519, F-38041 Grenoble 9, France

[2] CUNY City Coll, Levich Inst, New York, NY 10031 USA

[3] Aix Marseille Univ U1, IUSTI, CNRS, UMR Polytech Marseille 6595, F-13453 Marseille 13, France

来源：

JOURNAL OF FLUID MECHANICS | 2009年 / 621卷

关键词：

POISEUILLE FLOW; REYNOLDS-NUMBER; SHEAR-FLOW; MIGRATION; PARTICLES; LIFT;

D O I：

10.1017/S0022112008004977

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present a prediction of the lateral force exerted on a rigid neutrally buoyant sphere in circular cross-section Poiseuille flow. The force is calculated with the method of matched asymptotic expansions. We investigate the influence of the pipe Reynolds number in the range 1-2000 on the equilibrium position and the magnitude of the lateral force. We show that the predicted lift force in a circular geometry is qualitatively similar to, but quantitatively different from, that in a plane channel. The predicted force in the pipe is significantly smaller than the channel result, and the zero of the force which determines the equilibrium radial position of a suspended particle lies closer to the centreline in the pipe.

引用

页码：59 / 67

页数：9