有限水深慢船理论及波阻计算

The Slow Ship Theory at Finite Water Depth and Calculation of Wave Resistance

本文推广E.Baba的无限水深慢船理论,建立了有限水深慢船理论.基于低速与量级假定,将总速度势Φ分为合模势(?)_r和波动势(?),分别给出了各自的表达式,进而推导了有限水深兴波的波高、波阻公式.编制了波阻计算程序,并以半浸圆球为例进行验算,计算了Series 60船型在8种水深时的波阻.理论分析和数值计算表明:当水深趋于无穷时,本理论与Baba理论是一致的.

The present study is a direct extension of Baba's theory for slow ships at infinite water depth. A similar theory for finite water depth is presented here. The total velocity potential Φ is divided into two parts, the double-model potential (?)r and the wave potential (?). Expressions for two potentials are given and the formulae for wave height and wave resistance are derived.A calculation program for wave resistance is written and the wave resistance of a semi-submerged sphere is calculated as an example to check the validity of the method and program. The wave resistance of Series 60 shipform are calculated with eight water depths to show the influence of water depth.Theoretical analysis and calculation results show that the present theory is identical with Baba's theory when the water depth approaches infinity.