Study on the Control of the Motion of Fine Particles in an Almost Rigidly Rotating Flow

我们考虑了两种方法来控制在由壳体和芯体组成的高旋转双壁容器内的几乎刚性旋转的通流中以非常低的质量浓度分散的细颗粒的运动。这种流动是在非常小的Rossby数和Ekman数下产生的，并且由Ekman层和Stewartson层以及内部和刚性旋转区域组成。通过任意形状壁面控制颗粒运动的方法首先，为了阐明Stewartson层流的流动特性，我们用摄动法导出了任意形状壁面下Stewartson层流的理论解。其次，推导了细颗粒在流动中运动的理论解，并考虑了颗粒运动与壁面形状之间的关系.通过设置源流控制颗粒运动的方法我们对源流垂直于Stewartson层附壁和平行于Ekman层附壁处旋转轴的情况下的流动和颗粒运动进行了数值模拟，并考虑了源流对流动和颗粒运动的影响。

We considered two methods to control the motion of fine particles dispersed with very low mass-concentration in an almost rigidly rotating though-flow within a highly rotating double-walled container consisting of a housing and a core. This flow is produced under very small Rossby and Ekman numbers, and consists of Ekman and Stewartson layers and interior and rigid-rotation regions.1. Method to control the particle motion by shaping walls arbitrarilyFirst, in order to clarify flow characteristics of the Stewartson layer, we derived theoretical solutions of the Stewartson-layer flow for the arbitrarily shaped walls by a pertubation method. Next, we derived theoretical solutions of the motion of the fine particles in the flow, and considered the relationship between the particle motion and wall configuration.2. Method to control the particle motion by setting a source flowWe numerically simulated the flow and particle motion in the case in which the source flow is set normal to the wall attached the Stewartson layer and is set parallel to the rotation axis at the wall attached to the Ekman layer, and considered the influence of the source flow on the flow and particle motion.