THE LIFT ON A SMALL SPHERE IN WALL-BOUNDED LINEAR SHEAR FLOWS

被引:174
作者
MCLAUGHLIN, JB
机构
[1] Department of Chemical Engineering, Clarkson University, Potsdam
关键词
D O I
10.1017/S0022112093000114
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper presents a closed-form solution for the inertial lift force acting on a small rigid sphere that translates parallel to a flat wall in a linear shear flow. The results provide connections between results derived by other workers for various limiting cases. An analytical form for the lift force is derived in the limit of large separations. Some new results are presented for the disturbance flow created by a small rigid sphere translating through an unbounded linear shear flow.
引用
收藏
页码:249 / 265
页数:17
相关论文
共 18 条
[1]  
ANTOSIEWICZ HA, 1965, HDB MATH FUNCTIONS, P435
[2]  
Bender Carl, 1999, ADV MATH METHODS SCI, V1
[3]  
Brenner H., 1966, ADV CHEM ENG, V6, P287
[4]  
Cox R. G., 1977, International Journal of Multiphase Flow, V3, P201, DOI 10.1016/0301-9322(77)90001-5
[5]   SUSPENDED PARTICLES IN FLUID FLOW THROUGH TUBES [J].
COX, RG ;
MASON, SG .
ANNUAL REVIEW OF FLUID MECHANICS, 1971, 3 :291-&
[6]   LATERAL MIGRATION OF SOLID PARTICLES IN POISEUILLE FLOW .I. THEORY [J].
COX, RG ;
BRENNER, H .
CHEMICAL ENGINEERING SCIENCE, 1968, 23 (02) :147-&
[7]  
Davis P. J., 1965, HDB MATH FUNCTIONS, P253
[8]   THE LIFT FORCE ON A SMALL SPHERE IN THE PRESENCE OF A WALL [J].
DREW, DA .
CHEMICAL ENGINEERING SCIENCE, 1988, 43 (04) :769-773
[9]   LATERAL INERTIAL MIGRATION OF A SMALL SPHERE IN FAST LAMINAR-FLOW THROUGH A MEMBRANE DUCT [J].
DREW, DA ;
SCHONBERG, JA ;
BELFORT, G .
CHEMICAL ENGINEERING SCIENCE, 1991, 46 (12) :3219-3224
[10]  
Goldsmith H.L., 1967, RHEOLOGY, V4, P85