基于保角映射的二维复合材料翼型绕流封闭解析模型
Closed Form Analytical Model for Airflow around 2-Dimensional Composite Airfoil Via Conformal Mapping
摘要：
本文提出了一种计算二维翼型截面升力特性的方法，该翼型在前缘或前缘前的位置上具有第二个二维物体。由于两个物体都是二维的，因此分析产生了计算翼型和第二物体上的气流的闭合形式解，使用经过初始复平面中的两个圆形物体的解析闭合形式气流速度矢量的保角映射，单独使用每个物体的标准气流模型。通过分别计算的两个对象的速度矢量的线性叠加来获得组合气流速度矢量。升力特性是从翼型和第二物体周围的环量中获得的，该环量是从组合的闭合形式的速度矢量和沿环量的轮廓积分的几何形状计算的。本文中所考虑的说明性例子表明，第二个物体基本上是一个圆柱体，其直径约为翼型弦长的9%，它使翼型的截面升力系数比单独的翼型的截面升力系数减小约6：3%。1.
英文摘要：
This paper presents a method of computing section lift characteristics for a 2-dimensional airfoil with a second 2-dimensional object at a position at or ahead of the leading edge of the airfoil. Since both objects are 2-dimensional, the analysis yields a closed form solution to calculation of the airflow over the airfoil and second object, using conformal mapping of analytically closed form airflow velocity vector past two circular shaped objects in initial complex plane, using a standard air flow model for each object individually. The combined airflow velocity vector is obtained by linear superposition of the velocity vector for the two objects, computed individually. The lift characteristics are obtained from the circulation around the airfoil and second object which is computed from the combined closed form velocity vector and the geometry along the contour integral for circulation. The illustrative example considered in this paper shows that the second object which is essentially a cylinder whose diameter is approximately 9% of the chord length of the airfoil reduces the section lift coefficient by approximately 6:3% from that of the airfoil alone. 1.
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