面元法预报螺旋桨表面非定常压力分布

本文建立了扰动速度势面元法预报螺旋桨表面非定常压力分布的理论和数值方法。该方法把桨叶和桨毂表面离散为若干四边形双曲面元,每个面元上布置等强度源汇和偶极子分布,螺旋桨尾涡面也离散为布置等强度偶极子的四边形双曲面元。所有的时域参数通过傅里叶级数展开转化为频域参数,使得在时间域内的求解转化为每一谐调阶上的求解。桨叶随边处通过迭代和采用广义逆矩阵方法在每一谐调阶上实现非线性等压库塔条件。桨叶表面非定常压力

Prediction of Unsteady Pressure Distribution on Surface of Propeller by Surface Panel Method

This paper sets the theoretical and numerical method predicting the unsteady pressure distribution on the propeller blade surface by using perturbation potential based on surface panel method. The surface of propeller blades and hub is discreted by a number of small hyperboloidal quadrilateral panels with constant source and doublet distribution. The trailing vortex surface is also represented by a number of small panels with a constant doublet distribution. All of parameters related to time are expanded with Fourier series for time. Thus the solution of unsteady problem in the time domain is transformed into the solution at each harmonic order. The Kutta condition of equal pressure at the trailing edge is employed. An iterative procedure is introduced to satisfy the Kutta condition with the generalized inverse matrix method in each harmonic order of pressure difference at the trailing edge. The unsteady pressure distribution on the propeller blade surface by the present program are in satisfactory agreement with experimental data.