IMAGE SYSTEM FOR A STOKESLET IN A NO-SLIP BOUNDARY
IMAGE SYSTEM FOR A STOKESLET IN A NO-SLIP BOUNDARY
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DOI：
10.1017/s0305004100049902
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发表时间：
1971-01-01
期刊：
影响因子：
--
通讯作者：
BLAKE, JR
中科院分区：
文献类型：
--
作者：
BLAKE, JR
本文用傅立叶变换分析了在静止平面边界附近点力（stokeslet）作用下Stokes流的速度场和压力场，得到了满足边界无滑移条件所需的图象系统。图像系统，这是由图表所示，被发现是由一个stokeslet的大小相等，但在符号相反的初始stokeslet，一个stokes-doublet和源-doublet，位移轴的双重是在原来的力的方向。讨论了壁面对近场和远场的影响。在远场中，它被发现，一个stokeslet对齐平行的墙壁产生一个stokes-doublet远场，而一个stokeslet垂直于墙壁产生一个源-doublet和一个stokes-quadrupole远场的组合。虽然结果也可以用洛仑兹方法（7）利用互等定理导出，但本方法能更清楚地得到象系的形式。
The velocity and pressure fields for Stokes's flow due to a point force (‘stokeslet’) in the vicinity of a stationary plane boundary are analysed, using Fourier transforms, to obtain the image system required to satisfy the no-slip condition on the boundary. The image system, which is illustrated by diagrams, is found to consist of a stokeslet equal in magnitude but opposite in sign to the initial stokeslet, a stokes-doublet and a source-doublet, the displacement axes for the doublets being in the original direction of the force. The influence of the wall on the near and far fields is discussed. In the far field it is found that a stokeslet aligned parallel to the wall produces a stokes-doublet far-field, whereas a stokeslet normal to the wall produces a combination of a source-doublet and a stokes-quadrupole far-field. Although results can be alternatively derived by the method of Lorentz (7) using a reciprocal theorem, the present method yields much more clearly the form of the image system.