单桨双舵的水动力干扰研究

Hydrodynamic Interaction of One Propeller and Double Rudders

利用较简捷的关于扰动速度势的基本积分方程,采用双曲面形状面元,应用Morino导出的解析计算公式计算面元影响系数,加快了数值计算的速度。从解面元法的基本积分方程得到的偶极强度和源汇强度,直接求得流场速度分布;为避免在物面上数值求导,用Yanagizawa方法求得物面上的速度分布并通过伯努里方程计算桨舵的压力分布,以此计算桨舵的升力系数等宏观量,通过迭代方式考虑桨舵的相互影响,并将计算结果与联邦德国内河船研所的实验结果进行比较。

The hyperboloidal quadrilateral panels were employed to avoid gaps between the panels. The influence coefficients of the panels were determined by Morino＇ s analytical formulations for increasing numerically calculating speed. By solving the fundamental integral equation in panel surface method, the intensities of doublets and sources on the surfaces of the marine propeller could be obtained. With these doublets and sources the velocity distributions in flow was achieved. In order to avoid ob- taining numerical derivative, Yanagizawa method was employed to obtain velocity distributions, pressure distributions of the rudder and propeller was achieved by Bonuli Formulation, with which to calculate lifting coefficients and so on. Hydrodynamic interaction between rudder and propeller was achieved by an iterative calculation. The comparison was made between theoretical result and experimental one.