円管Ｐｏｉｓｅｕｉｌｌｅ流れの安定性と非整数階微分

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タイトル別名
  • Stability of Pipe-Poiseuille Flow and Derivatives of Fractional Order.
  • エンカン Poiseuille ナガレ ノ アンテイセイ ト ヒ セイスウ カ

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The development of disturbances of arbitrary shape propagating in a pipe was formulated. The disturbances were divided into two types and discussed independently ; one exhibits normal dissipation, and the other, an anomalous one. Governing equations for the two types of disturbances were derived and solved analytically. The equations include Weyl and Riemann-Liouville fractional derivatives, respectively, for the disturbance with normal dissipation and that with an anomalous one. It was found that the two types of disturbance both have a global nature which is quite different from each other especially near the wavefront.

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