The drag on a sphere moving axially in a long rotating container
The drag on a sphere moving axially in a long rotating container
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在长旋转容器中轴向移动的球体上的阻力
DOI：
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发表时间：
1979
影响因子：
3.7
通讯作者：
I. Walton
中科院分区：
文献类型：
--
作者：
L. M. Hocking;D. W. Moore;I. Walton
一个装着粘性不可压缩液体的容器由刚性的平行平面围成，并绕着垂直于这些平面的轴稳定地旋转。刚性球体平行于旋转轴作稳定运动，其运动的Rossby数和Ekman数都很小。当泰勒柱的长度与容器的轴向尺寸相当时，计算球体上的阻力。粘性效应在泰勒柱的边界中是允许的，但是球体和边界平面上的Ekman层显示不影响到主阶的阻力。阻力的确定涉及求解对偶积分方程。这是数值计算，并为长和短集装箱的极限情况下，分析。泰勒柱和容器两端的相互作用导致阻力增加超过无界流体中的阻力值，但增加量小于Maxworthy（1970）测量的值。
A container of viscous incompressible liquid is bounded by rigid parallel planes and rotates steadily about an axis normal to these planes. A rigid sphere moves steadily parallel to the rotation axis and the Rossby and Ekman numbers characterizing the motion are both small. The drag on the sphere is calculated in the case when the length of the Taylor column is comparable to the axial dimension of the container. Viscous effects are allowed for in the boundary of the Taylor column, but the Ekman layers on the sphere and on the bounding planes are shown not to affect the drag to leading order. The determination of the drag involves solving dual integral equations. This is done numerically and, for the limiting cases of long and short containers, analytically. The interaction of the Taylor column and the ends of the container leads to an increase in the drag over its value in an unbounded fluid, but the increase is smaller than that measured by Maxworthy (1970).