On the planing of a flat plate at high Froude numbers in a two-dimensional case

✍ Scribed by Y.K. Chung; H.H. Chun

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 263 KB
• Volume: 35
• Category: Article
• ISSN: 0029-8018
• DOI: 10.1016/j.oceaneng.2008.01.004

✦ Synopsis

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 a, lift L and drag D as follows: