Chines-Dry Planing of Slender Hulls: A General Theory Applied to Prismatic Surfaces

The ultimate goals of this two-part study are the advantages and de' ciencies of application of camber to dry-chine, stepped-planing forms. The present paper is limited to the correlation of a relatively new theory with existing data to qualify it for use in a later paper which will predict the hydrodynamic characteristics of practical forms without and with cambers. Following a brief account of the pertinent literature, a mathematical model is developed 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 oversimpli' ed Wagnerian (1932) theory ' rst introduced by Vorus (1996). It is an independent, less complicated development which con'rms Vorus's result for his special case of straight-sided wedges. Detailed comparisons of all the hydrodynamic coefficients 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 discussed. The theory is justi' ed for extension to more pragmatic forms within the scope of the theory.