MOTION OF A SPHERE IN A VISCOUS INCOMPRESSIBLE FLUID AT LOW REYNOLDS-NUMBER

被引:16
作者
FELDERHOF, BU
机构
[1] Institut für Theoretische Physik A, RWTH Aachen, W-5100 Aachen
来源
PHYSICA A | 1991年 / 175卷 / 01期
关键词
D O I
10.1016/0378-4371(91)90271-D
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the motion of a sphere in a viscous incompressible fluid at low Reynolds number on the basis of the equation of motion derived by Basset and Boussinesq. We show that the motion after a sudden impulse deviates strongly from the exponential solution of the Stokes equation of motion, if the mass of the sphere is not much larger than the mass of the displaced fluid. We relate this to the form of the relaxation spectrum.
引用
收藏
页码:114 / 126
页数:13
相关论文
共 14 条
[1]  
Abramowitz M., 1964, HDB MATH FUNCTIONS
[2]  
Basset A.A., 1888, TREATISE HYDRODYNAMI, V2
[3]  
Boussinesq J., 1903, THEORY ANAL CHALEUR, V2, P224
[4]   EFFECT OF INERTIA ON BROWNIAN MOTION OF RIGID PARTICLES IN A VISCOUS-FLUID [J].
CHOW, TS ;
HERMANS, JJ .
JOURNAL OF CHEMICAL PHYSICS, 1972, 56 (06) :3150-+
[5]  
DOETSCH G, 1958, EINFUHRUNG THEORIE A
[6]   LINEAR RESPONSE THEORY OF THE MOTION OF A SPHERICAL-PARTICLE IN AN INCOMPRESSIBLE FLUID [J].
FELDERHOF, BU .
PHYSICA A, 1990, 166 (03) :492-504
[7]  
GITERMAN MS, 1966, ZH EKSP TEOR FIZ, V23, P722
[8]   APPLICATION OF LANGEVIN EQUATION TO FLUID SUSPENSIONS [J].
HINCH, EJ .
JOURNAL OF FLUID MECHANICS, 1975, 72 (DEC9) :499-511
[9]  
LAMB H, 1932, HYDRODYNAMICS, P644
[10]  
LANDAU LD, 1961, FLUID MECHANICS