基于涡格法的任意环量分布螺旋桨数值设计方法

A Numerical Design Method for Marine Propellers with Arbitrary Distribution of Circulation Based on Vortex Lattice Method

基于升力面理论涡格法提出了一种任意环量分布螺旋桨的数值设计方法,该方法对假定的桨叶拱弧面几何和螺距分布,利用涡格法求解其环量面分布,并根据该分布与给定分布的差,通过Newton-Raphson迭代获得拱度和螺距的修正量,从而逐步逼近具有给定环量分布的桨叶几何。以DTNSRDC-4382大侧斜桨为对象进行了数值考察,结果表明:设计方法具有良好的网格收敛性;拱弧面几何及螺距分布的初值在合理范围内变化时,设计结果无初值依赖性;与RANS计算相结合,本文方法可达到较高的水动力设计精度。

A numerical design method for marine propellers with arbitrary distribution of circulation is presented on the basis of the vortex lattice method（VLM）. For a presumed set of camber surface geometry and pitch distribution, circulation distribution is computed with the VLM. According to the differences between the computed and the given circulation distribution, the presumed camber surface geometry and pitch distribution are updated by means of the Newton-Raphson method. The process is repeated until the camber surface geometry and pitch distribution converge to those which yield given circulation distribution. Numerical investigations are conducted for the DTNSRDC-4382, a five-bladed propeller with 36° angle of high skew. It is shown that the design process converges fast with increase of division numbers, and is insensitive to the initial set of camber surface geometry and pitch distribution provided they are in a rational range. With the combination of the RANS simulation approach, accurate design in hydrodynamic forces of the propeller can be well attained.