Chines-dry planing of slender hulls: A general theory applied to prismaticsurfaces

The ultimate goals of this two-part study are the advantages and deficienci es of application of camber to dry-chine, stepped-planing forms. The presen t paper is limited to the correlation of a relatively new theory with exist ing data to qualify it for use in a later paper which will predict the hydr odynamic characteristics of practical forms without and with cambers. Follo wing a brief account of the pertinent literature, a mathematical model is d eveloped via slender-body theory. It is a generalization of M. P. Tulin's ( 1957) seminal analysis of flat, cambered, delta-wing waterplanes to include deadrise, together with a departure from the oversimplified Wagnerian (193 2) theory first introduced by Vorus (1996). It is an independent, less comp licated development which confirms Vorus's result for his special case of s traight-sided wedges. Detailed comparisons of all the hydrodynamic coeffici ents with data from model tests of prismatic hulls show that this theory is superior to that of Wagner. A very simple formula for maximum pressures is shown. Comparisons with the extensive theories of Zhao and Faltinsen are d iscussed. The theory is justified for extension to more pragmatic forms wit hin the scope of the theory.