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On the planing of a flat plate at high Froude numbers in a two-dimensional case
Authors:YK Chung  HH Chun  
Institution:aSuwon, Republic of Korea;bDepartment of Naval Architecture, Pusan National University, Kumjeong-gu, Pusan 609-735, Republic of Korea
Abstract:We seek the solution of the planing of a flat plate at high Froude numbers by a perturbation procedure. The angle of attack of the plate is assumed to vary with the speed of the plate in the present study. A harmonic function K is introduced for the solution of the first-order disturbance potential which becomes the Green function in the limiting case when the Froude number tends to infinity. We get the solution of the first-order potential from Green's theorem applied to K and the first-order potential. Then we obtain the asymptotic solutions of the angle of attack α, lift L and drag D as follows:
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where αmuch less-than1. Here W, LW, and U are the weight of the plate per unit width, wetted length, and speed of the plate, respectively.
Keywords:Planing  Lift  Drag  Hydrodynamic pressure  Two-dimensional
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