Resistance Functions for Two Spheres in Axisymmetric Flow-Part I: Stream Function Theory

被引：0
|
作者：
El Naqeeb, Thanaa [1 ]
Schmitz, Rudi [1 ]
机构：
[1] Rhein Westfal TH Aachen, Inst Theoret Phys C, D-52056 Aachen, Germany
来源：
JOURNAL OF APPLIED MATHEMATICS | 2011年
关键词：
REYNOLDS-NUMBER FLOW; CONCENTRATED COLLOIDAL DISPERSIONS; NONEQUILIBRIUM STATISTICAL-MECHANICS; LINEAR RESPONSE THEORY; VISCOUS-FLUID; SLOW MOTION; SPHERICAL-PARTICLES; UNEQUAL SPHERES; HYDRODYNAMIC INTERACTION; MOBILITY FUNCTIONS;
D O I：
10.1155/2011/318907
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider low-Reynolds-number axisymmetric flow about two spheres using a novel, biharmonic stream function. This enables us to calculate analytically not only the forces, but also the dipole moments (stresslets and pressure moments) and the associated resistance functions. In this paper the basics properties of axisymmetric flow and the stream function are discussed. Explicit series expansions, obtained by separation in bispherical coordinates, will be presented in a follow-up paper.
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页数：15
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