1326 急発進・急回転する一対の二次元円柱まわりの低レイノルズ数流れ : Jeffery の背理について

概要

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The purpose of this paper is to investigate the slow viscous flow induced by two circular cylinders, which undergo step change in its equal but opposite rotating velocity to the parallel axes. This flow causes "Jeffery's paradox" that in the Stokes solution the far-field velocity exist, contradictory to the far-field boundary condition. In order to make this paradox resolved, the present paper treats the low Reynolds number flow past abruptly started translating and rotating two circular cylinders. The steady solution of this flow is obtained from the limiting procedure, which makes the translating velocity zero and makes time infinity. In the present method, the matched asymptotic expansion method is applied for the long time motion, and Watson's solution is used in the limiting case of the translating velocity to zero and time to infinity.
社団法人日本機械学会の論文