Lifting-Line Theory of a Supercavitating Hydrofoil in Both Vertical and Spanwise Shear Flow.

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  • ２変数せん断流中における超空洞翼の揚力線理論
  • 2 ヘンスウ センダンリュウチュウ ニ オケル チョウ クウドウヨク ノ ヨウ

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Abstract

A supercavitating hydrofoil placed in vertical and spanwise shear flow between two parallel planes is approximated to a lifting-line. By introducing two kinds of separation of variables into both a fundamental solution and a main stream velocity distribution, an equation of motion with respect to disturbance pressure is reduced to two ordinary differential equations. The lifting-line equation is obtained from up-wash velocity distribution along a lifting-line derived from solutions of ordinary differential equations. Hydrodynamic force characteristics are expressed and calculated by series summation, whose spectra are solutions of the lifting-line equation, and then cavity distributions are obtained by applying the method proposed by the authors.

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