2-DIMENSIONAL UNSTEADY PLANING

An analytical and numerical study of two-dimensional unsteady planing of a flat plate is presented. The immersion of the plate is assumed sm all; hence, the spray at the leading edge is represented by a square r oot singularity. The analogy to airfoil theory is used and the hydrody namic problem is solved in the time domain. The time-varying wetted-le ngth change due to the water flow is accounted for by a generalized Wa gner approach. The present theory is verified by comparison with an an alytical solution by Sedov (1940) for water entry of a planing plate a nd with the linear frequency domain solution by Bessho & Komatsu (1984 ) for a heaving planing plate.