THE USE OF DISKS TO APPROXIMATE FINITE AXISYMMETRICAL BODIES IN STOKES-FLOW

被引:13
作者
DAVIS, AMJ
机构
[1] Department of Mathematics, University of Alabama, Tuscaloosa
来源
PHYSICS OF FLUIDS A-FLUID DYNAMICS | 1992年 / 4卷 / 01期
关键词
D O I
10.1063/1.858503
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The analytically intractable problem of the Stokes flow past a finite cylinder is shown computationally to be well approximated by the use of an array of disks whose spacing must be sufficient to allow a formulation in terms of integral equations of the second kind. The translating cylinder within a pipe is similarly modeled and the method also allows the effects of simple streamlining or concavity to be quantified.
引用
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页码:7 / 15
页数:9
相关论文
共 21 条
[1]   SLENDER-BODY THEORY FOR PARTICLES OF ARBITRARY CROSS-SECTION IN STOKES FLOW [J].
BATCHELOR, GK .
JOURNAL OF FLUID MECHANICS, 1970, 44 (NOV26) :419-+
[2]   ON THE SOLUTION FOR THE ROTATIONAL MOTION OF AN AXISYMMETRICAL RIGID BODY AT LOW REYNOLDS-NUMBER WITH APPLICATION TO A FINITE LENGTH CYLINDER [J].
CHAN, PC ;
LEU, RJ ;
ZARGAR, NH .
CHEMICAL ENGINEERING COMMUNICATIONS, 1986, 49 (1-3) :145-163
[3]   ANALYSIS OF ENTRANCE AND EXIT EFFECTS IN A FALLING CYLINDER VISCOMETER [J].
CHEN, MCS ;
SWIFT, GW .
AICHE JOURNAL, 1972, 18 (01) :146-&
[4]  
CHEN MCS, 1960, AICHE J, V14, P123
[5]  
Cox R. G., 1970, Journal of Fluid Mechanics, V44, P791, DOI 10.1017/S002211207000215X
[7]   AN INFINITE-SERIES SOLUTION FOR THE CREEPING MOTION THROUGH AN ORIFICE OF FINITE LENGTH [J].
DAGAN, Z ;
WEINBAUM, S ;
PFEFFER, R .
JOURNAL OF FLUID MECHANICS, 1982, 115 (FEB) :505-523
[8]   STOKES DRAG ON A DISK SEDIMENTING TOWARD A PLANE OR WITH OTHER DISKS - ADDITIONAL EFFECTS OF A SIDE WALL OR FREE-SURFACE [J].
DAVIS, AMJ .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1990, 2 (03) :301-312
[9]   A TRANSLATING DISK IN A SAMPSON FLOW - PRESSURE-DRIVEN FLOW THROUGH CONCENTRIC HOLES IN PARALLEL WALLS [J].
DAVIS, AMJ .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1991, 44 :471-486
[10]   AXISYMMETRIC SLOW VISCOUS FLOW PAST AN ARBITRARY CONVEX BODY OF REVOLUTION [J].
GLUCKMAN, MJ ;
WEINBAUM, S ;
PFEFFER, R .
JOURNAL OF FLUID MECHANICS, 1972, 55 (OCT24) :677-&