Abstract: The governing equations of the power-law fluid flow in annulus with the inner cylinder executing a planetary motion under the moving bipolar coordinate system were established.The governing equations were numerically solved by the finite difference method,and the distribution of the stream-function of the flow was obtained.The results show that the secondary flow appears in the flow of the power-law fluid in annulus with the inner cylinder executing a planetary motion.The distribution of the secondary flow is related with the direction and magnitude of the revolution velocity and the rotation velocity of the inner cylinder and the eccentric distance of annulus.

Key words: power-law fluid, planetary motion, annulus, stream function, secondary flow, finite difference method

摘要： 建立了运动双极坐标系下幂律流体在内管做行星运动的环空中流动的控制方程,并用有限差分法对其进行了数值求解,得到了该流动的流函数分布.结果表明:幂律流体在内管做行星运动的环空中流动时出现二次流,且二次流分布与环空内管公转、自转速度的方向和大小以及环空偏心距有关.

关键词: 幂律流体, 行星运动, 环形空间, 流函数, 二次流, 有限差分法