Hydrodynamics of a submerged hydrofoil advancing in waves |
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| Institution: | 1. College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China;2. Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, UK;1. CNR-INSEAN, Marine Technology Research Institute, Via di Vallerano 139, 00128 Rome, Italy;2. Ecole Centrale Nantes, LHEEA Laboratoire (ECN / CNRS), Nantes, France;3. Technical University of Madrid (UPM), CEHINAV res.gr., DMFPA, ETSIN, Madrid, Spain |
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| Abstract: | The hydrodynamic problem of a hydrofoil travelling at constant speed in water waves has been investigated through velocity potential theory. The boundary conditions on the free surface have been linearized, and the effects are accounted for through the Green function. The overall problem is decomposed into the steady forward speed problem and periodic wave radiation and diffraction problems. Each of these problems is solved using the boundary integral equation over the hydrofoil surface together with a vortex sheet behind the trailing edge. The body surface boundary condition is imposed on its mean position. As a result the steady potential will contribute a well-known mj term to the body surface boundary condition on the radiation problem. The numerical difficulty in dealing with this term is effectively resolved through a difference method. The effects of the thickness on the wave radiation and diffraction are investigated. The applicability of various reciprocity relationships in this problem is discussed. |
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