Simple Calculation of Sheltering Effect on Ship-Wave Resistance and Bulbous Bow Design

Abstract

The sheltering effect on the ship wave resistance is treated by the free-surface pressure distribution inside the ship. The theory is developed and the numerical values of wave resistance are obtained for parabolic and sinusoidal hulls. The corrected wave resistance is shown to be reduced more than 20 percent from the Michell's wave resistance even for a Wigley hull with beam-length ratio 0.1. However, the humps and hollows of wave resistance still remain with the magnitude closer to the experimental results. The optimum volume of bulb for sinusoidal ships is also shown to be reduced from 7.6 percent to 18 percent of the values without sheltering effect for the range of Froude numbers from 0.15 to 0.35.