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WAVE EFFECTS OF A FREE SURFACE PIERCING HYDROFOIL

Kern

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Abstract

A lifting surface theory is developed for vertically oriented hydrofoils piercing a fluid free surface. The formulation, a singular integral equation, is shown to reduce to known limiting forms for the cases of zero and infinite Froude number. Conditions restricting the mathematical nature of acceptable foil loadings are given for the general case for finite nonzero aspect ratio and Froude number. Two simple foil loadings are numerically investigated, demonstrating the feasibility of a proposed technique for analyzing the dynamics of arbitrarily shaped free surface piercing hydrofoils.

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What this paper is about

A lifting surface theory is developed for vertically oriented hydrofoils piercing a fluid free surface. The formulation, a singular integral equation, is shown to reduce to known limiting forms for the cases of zero and infinite Froude number. Conditions restricting the mathematical nature of acceptable foil loadings are given for the general case for finite nonzero aspect ratio and Froude number. Two simple foil loadings are numerically investigated, demonstrating the feasibility of a proposed technique for analyzing the dynamics of arbitrarily shaped free surface piercing hydrofoils.

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Available abstract

A lifting surface theory is developed for vertically oriented hydrofoils piercing a fluid free surface. The formulation, a singular integral equation, is shown to reduce to known limiting forms for the cases of zero and infinite Froude number. Conditions restricting the mathematical nature of acceptable foil loadings are given for the general case for finite nonzero aspect ratio and Froude number. Two simple foil loadings are numerically investigated, demonstrating the feasibility of a proposed technique for analyzing the dynamics of arbitrarily shaped free surface piercing hydrofoils.

Key concepts: Froude number, Free surface, Limiting, Surface (topology), FOIL method, Mechanics, Simple (philosophy), Mathematics

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