A Green function approach for the investigation of the incompressible flow past an oscillatory thin hydrofoil including floor effects
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
Boundary Value Problems 2014, 2014:104 doi:10.1186/1687-2770-2014-104Published: 8 May 2014
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.