SLOW VISCOUS-FLOW DUE TO MOTION OF AN ANNULAR DISK - PRESSURE-DRIVEN EXTRUSION THROUGH AN ANNULAR HOLE IN A WALL

被引:21
作者
DAVIS, AMJ
机构
[1] Mathematics Department, University of Alabama, Tuscaloosa
关键词
D O I
10.1017/S0022112091003312
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The description of the slow viscous flow due to the axisymmetric or asymmetric translation of an annular disk involves the solution of respectively one or two sets of triple integral equations involving Bessel functions. An efficient method is presented for transforming each set into a Fredholm integral equation of the second kind. Simple, regular kernels are obtained and the required physical constants are readily available. The method is also applied to the pressure-driven extrusion flow through an annular hole in a wall. The velocity profiles in the holes are found to be flatter than expected with correspondingly sharper variation near a rim. For the sideways motion of a disk, an exact solution is given with bounded velocities and both components of the rim pressure singularity minimized. The additional drag experienced by this disk when the fluid is bounded by walls parallel to the motion is then determined by solving a pair of integral equations, according to methods given in an earlier paper.
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页码:51 / 71
页数:21
相关论文
共 30 条
[1]  
[Anonymous], 1996, TABLES INTEGRALS SER
[2]  
Collins W. D., 1963, MATHEMATIKA, V10, P72, DOI 10.1112/S0025579300003387
[3]   TRIPLE INTEGRAL EQUATIONS [J].
COOKE, JC .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1963, 16 (02) :193-&
[4]   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
[6]   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
[7]   SHEAR-FLOW DISTURBANCE DUE TO A HOLE IN THE PLANE [J].
DAVIS, AMJ .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (03) :478-480
[8]   STOKES DRAG ON A NARROW ANNULAR DISK SEDIMENTING IN THE PRESENCE OF FIXED BOUNDARIES OR OTHER DISKS [J].
DAVIS, AMJ .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (02) :249-257
[9]   ASYMMETRIC STOKES FLOW PAST A SPHERICAL CAP [J].
DORREPAAL, JM .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1976, 27 (06) :739-748
[10]   AXISYMMETRIC STOKES FLOW PAST A SPHERICAL CAP [J].
DORREPAAL, JM ;
ONEILL, ME ;
RANGER, KB .
JOURNAL OF FLUID MECHANICS, 1976, 75 (MAY27) :273-286