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提出一个二维圆弧翼型的力学模型,以非定常伯努利方程为基础,在不考虑来流所引起环量的情况下,计算得到叶片所受到的法向力、升力和阻力的表达式。在计算过程中,采用儒可夫斯基保角变换法将圆弧翼型上的位移、速度等转换为极坐标形式,简化计算分析过程。在此基础上,通过给定攻角随时间变化的函数,分析得到叶片在连续时间域的非定常受力变化曲线,并探讨不同拱高圆弧翼型受力的变化规律,为研究更为复杂翼型叶片的气动性能奠定基础。
A mechanical model of two-dimensional arc airfoil was proposed. Based on the unsteady Bernoulli equation, the expression of normal force, lift force and drag on the blade was calculated without considering the amount of ring induced by the incoming flow formula. In the process of calculation, the displacement and velocity on arc airfoil are converted into polar form by using the method of Cone Koksky Conformal Transformation, which simplifies the calculation and analysis process. On this basis, the curve of unsteady stress of blade in continuous time domain is obtained through the function of changing the angle of attack (AOA) with time, and the changing regularities of the force of different arch arc arcs are discussed. The aerodynamic performance of a complex airfoil blade lays the foundation.