A Study on a Disk Friction Pump : 1st Report, Theoretical Analysis for Flow between Corotating Disks

概要

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In order to obtain fundamental knowledge of performance and optimum dimensions of a disk friction pump, an analysis is made of the flow between two infinitely large corotating disks with throughflow supplied at the inner periphery of finite radius. The flow field is assumed to be either everywhere laminar or everywhere turbulent. The laminar case is treated by dividing the field into three regions; the region in the vicinity of the entrance periphery to which Gortler series is applied, the region far from the center axis for which analytical perturbation solution is used and the mid-region connecting the above two extreme regions for which finite difference computation is carried out. The solution gives a complete scheme of the flow field with satisfactory indications for the engineering scheme of the flow field with satisfactory indications for the engineering purpose. Meanwhile, the turbulent case is treated by means of momentum equations with elaborated curvilinear coordinate axes, which leads to a physically acceptable flow pattern.
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