Mathematical Modeling of Longitudinal Dynamic Pressure Distribution on Planing Hulls

Abstract

In the present paper, a mathematical model is used in order to predict the longitudinal distribution of dynamic pressure on planing hulls. The present model is based on the empirical equations resulted from multitude of experiments that have been carried out over the years on planing boats. These empirical equations are able to predict a longitudinal section of the pressure distribution. The obtained pressure field is then used to evaluate the dynamic pressure behind the stagnation line. A computer code is developed for the modeling purposes and the obtained results are validated against experimental data. In this regard, the effects of the trim angle, dead-rise angle and the wetted length on the longitudinal distribution of the dynamic pressure for the planing hulls are studied.