A Mathematical Scheme for Calculation of Lift of Planing Crafts with Large Mean Wetted Length and a Comparative Study of the Effective Parameters

By the current paper, lift force that is an important characteristic of a planing hull is calculated. To accomplish this task, Morabito’s mathematical model that has been previously derived for prediction of total pressure distribution on planing hulls is utilized. These equations are not restricted to any specific mean wetted length and can be used for planing hulls with large value of mean wetted length. Mathematical modeling has been accomplished by integrating the bottom pressure which leads to determination of the lift of planing hulls. Results of the presented method are compared against the results of Savitsky’s formula and favorable agreement is displayed. Finally, a parametric study is conducted to examine the effects of various physical factors such as trim angle, deadrise angle, average wetted length, and speed coefficient on the lift force. Percentages of contribution of hydrodynamic and hydrostatic lifts are also investigated. Key Word and Phrases Lift, Mathematical Modeling, Planing Hulls, Empirical and Practical equations, Large Mean Wetted Length, Calm Water, Hydrodynamics, High Speed Crafts (HSC)