Stokes flow of a rotating sphere around the axis of a circular orifice or a circular disk |
| |
Authors: | Jianjun Feng Benzhao Zhang Wangyi Wu |
| |
Institution: | (1) Department of Mechanics, Peking University, 100871 Beijing, China;(2) Department of Mechanics, Zhejiang University, 310027 Hangzhou, China |
| |
Abstract: | This paper presents an infinite series solution to the creeping flow equations for the axisymmetric motion of a sphere of
arbitrary size rotating in a quiescent fluid around the axis of a circular orifice or a circular disk whose diameters are
either larger or smaller than that of the sphere. Numerical tests of the convergence are passed and the comparison with the
exact solution and other computational results shows an agreement to five significant figures for the torque coefficients
in both cases. The torque coefficients are obtained for the sphere located up to a position tangent to the wall plane containing
either the orifice or the disk. It is concluded that the torque coefficients of the sphere and the disk are monotonically
increasing with the decrease of the distance from the disk or the orifice plane in both cases. |
| |
Keywords: | Stokes flow rotating sphere circular orifice circular disk |
本文献已被 SpringerLink 等数据库收录! |