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Unsteady Free Surface Flow Around Hydrofoils

A. lafrati, Emilio F. Campana

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Abstract

The unsteady two dimensional free surface motion produced by a submerged body in a uniform stream is studied in the potential flow approximation. The Laplace equation governing the irrotational flow of an incompressible fluid is solved by using a boundary element representation for the velocity potential. A Neumann condition is assigned on the body contour and a Dinchlet condition is used on the free surface. Results obtained for several geometrical configurations are in good agreement with available theoretical, numerical, and experimental data.

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What this paper is about

The unsteady two dimensional free surface motion produced by a submerged body in a uniform stream is studied in the potential flow approximation. The Laplace equation governing the irrotational flow of an incompressible fluid is solved by using a boundary element representation for the velocity potential. A Neumann condition is assigned on the body contour and a Dinchlet condition is used on the free surface. Results obtained for several geometrical configurations are in good agreement with available theoretical, numerical, and experimental data.

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Available abstract

The unsteady two dimensional free surface motion produced by a submerged body in a uniform stream is studied in the potential flow approximation. The Laplace equation governing the irrotational flow of an incompressible fluid is solved by using a boundary element representation for the velocity potential. A Neumann condition is assigned on the body contour and a Dinchlet condition is used on the free surface. Results obtained for several geometrical configurations are in good agreement with available theoretical, numerical, and experimental data.

Key concepts: Free surface, Potential flow, Conservative vector field, Velocity potential, Body surface, Flow (mathematics), Laplace's equation, Mechanics

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