せん断流中の超空洞翼のための揚力線理論

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  • Lifting-Line Theory for a Supercavitating Hydrofoil in Shear Flow.
  • センダンリュウチュウ ノ チョウ クウドウヨク ノ タメ ノ ヨウリョクセン

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A supercavitating hydrofoil is approximated to a lifting-line, along which an up-wash velocity distribution is derived by introducing the separation of variables into an equation of motion with respect to disturbance pressure. After considering the dependence of lift coefficient upon other physical quantities, the expression taking account of the non-linear relation between lift coefficient and attack angle peculiar to cavitating hydrofoil is shown. A lifting-line equation is derived from an assumption that two dimensionality holds at any spanwise position, and the method of solution of the lifting-line equation, in which a eigenvalue problem of the Sturm-Liouville type should be solved, is presented. The method to obtain the cavity spanwise distribution, in which the solution of the lifting-line equation is used, is proposed, and effects of main stream velocity profile, aspect ratio and cavitation number on cavity spanwise distribution and its three dimensional effect are clarified.

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