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A Green function approach for the investigation of the incompressible flow past an oscillatory thin hydrofoil including floor effects

Eleonora Răpeanu1 and Adrian Carabineanu23*

Author Affiliations

1 Constanţa Maritime University, Str. Mircea cel Bătrân 104, Constanţa, Romania

2 Department of Mathematics, University of Bucharest, Str. Academiei 14, Bucharest, Romania

3 Institute of Mathematical Statistics and Applied Mathematics of Romanian Academy, Calea 13 Septembrie 13, Bucharest, Romania

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Boundary Value Problems 2014, 2014:104  doi:10.1186/1687-2770-2014-104

Published: 8 May 2014

Abstract

In the framework of the small perturbations theory, we study the incompressible inviscid flow of a uniform stream past an oscillatory/undulatory thin hydrofoil including floor effects. A Green function is used to deduce the integral equation for the jump of the pressure past the foil. The integral equation is numerically solved and the average drag coefficient is calculated. For some wings there appears a propulsive force and this force increases when the hydrofoil is close to the floor.

MSC: 76B10, 65R20, 45H99, 31A10.

Keywords:
flexible hydrofoil; hypersingular integral equation; floor effect; thrust