Lifting Line Theory of a Wing in Uniform Shear Flow

抄録

In the axial type fans and compressors, the velocity distribution relative to the blades is generally not uniform. Therefore, in the practical applications, it is important to find the characteristics of the wing in non-uniform flow. In this investigation, the characteristics of a finite large aspect ratio wing in uniform shear flow with the velocity varying in the spanwise direction are analyzed by the singularity method which is different from the method adopted by von Karman and Tsien. As the result, the characteristics of arbitrary wings are obtained concretely, and, at the same time, the physical difference between the characteristics of wings in uniform shear flow and those in uniform potential flow is clarified. Furthermore, the wing planform and its aerodynamic forces satisfying the condition of the minimum induced drag are given analytically.