On hydrodynamics of a planing plate in a laterally restricted channel

Abstract

A problem of a planing surface moving steadily at finite Froude numbers in a laterally restricted seaway is considered in this note. A linearized potential flow method based on point sources is applied to model hydrodynamics of a planing plate. Numerical results are obtained and presented for the lift coefficient and the center of pressure. The variable parameters include the ratio of the channel width to the plate beam, beam-based Froude number, and nominal aspect ratio of the plate. A comparison is shown with empirical correlations for unrestricted seaway and with theoretical results for the limiting two-dimensional case.