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

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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.