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
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.
引用
收藏
页数:15
相关论文
共 50 条
  • [21] Modification of kinetic theory of granular flow for frictional spheres, part II: Model validation
    Yang, L.
    Padding, J. T.
    Kuipers, J. A. M.
    CHEMICAL ENGINEERING SCIENCE, 2016, 152 : 783 - 794
  • [22] STRESSLET RESISTANCE FUNCTIONS FOR LOW REYNOLDS-NUMBER FLOW USING DEFORMING SPHERES
    JEFFREY, DJ
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (02): : 163 - 171
  • [23] THE RESISTANCE AND MOBILITY FUNCTIONS OF 2 EQUAL SPHERES IN LOW-REYNOLDS-NUMBER FLOW
    KIM, S
    MIFFLIN, RT
    PHYSICS OF FLUIDS, 1985, 28 (07) : 2033 - 2045
  • [24] Structure Function Analysis of Two-Scale Scalar Ramps. Part I: Theory and Modelling
    Shapland, T. M.
    McElrone, A. J.
    Snyder, R. L.
    Paw U, K. T.
    BOUNDARY-LAYER METEOROLOGY, 2012, 145 (01) : 5 - 25
  • [25] Flow resistance of textile materials - Part I: Monofilament fabrics
    Gooijer, H
    Warmoeskerken, MMCG
    Wassink, JG
    TEXTILE RESEARCH JOURNAL, 2003, 73 (05) : 437 - 443
  • [26] Structure Function Analysis of Two-Scale Scalar Ramps. Part I: Theory and Modelling
    T. M. Shapland
    A. J. McElrone
    R. L. Snyder
    K. T. Paw U
    Boundary-Layer Meteorology, 2012, 145 : 5 - 25
  • [27] Axisymmetric Stokes' flow in a spherical shell revisited via the Fokas method. Part I: Irrotational flow
    Dassios, G.
    Doschoris, M.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (07) : 850 - 868
  • [28] Theory of hydrodynamic interaction of two spheres in wall-bounded shear flow
    Fouxon, Itzhak
    Rubinstein, Boris
    Ge, Zhouyang
    Brandt, Luca
    Leshansky, Alexander
    PHYSICAL REVIEW FLUIDS, 2020, 5 (05):
  • [29] Universal algorithms for learning theory part I : piecewise constant functions
    Binev, P
    Cohen, A
    Dahmen, W
    DeVore, R
    Temlyakov, V
    JOURNAL OF MACHINE LEARNING RESEARCH, 2005, 6 : 1297 - 1321
  • [30] On the theory of algebraic functions. Part I. Higher congruencies
    不详
    ACTA MATHEMATICA, 1923, 44 (01) : 219 - 222