论文标题
补充贝茨理论
The complementary Betz Theory
论文作者
论文摘要
首先介绍了Betz定律的经典推导以及一些见解。扩展的Betz理论是针对轴正交轴向统一运动方向的转子推导的。用于证明能量转化的空气动力学方面的一般性的概念设计 - 从具有启发性的方法开始，对经典理论进行了对Betz定律的几何解释 - 是通过对涡轮机必须近似16/27的理想效率近似的最低要求来定义的。 Betz角度的作用的发现允许在更一般的环境中展示该理论，从而将其从平坦的，二维的，表示为对问题的更深，三维的理解。随后的结果，特别是通过执行器圆柱体的有限拓扑获得恒定产率和最大效率的可能性，在原则上意味着可行性，具有垂直于风向的轴线的真实涡轮机。
A classical derivation of Betz's law is first presented along with some insights. The extended Betz's theory is deduced for a rotor with axis orthogonal to the direction of an ideal fluid in uniform motion. The conceptual design used to demonstrate the generality of the aerodynamic aspects of energy conversion - starting from a suggestive approach to the classical theory and a geometric explanation of Betz's law - is defined by imposing compliance with the minimum requirements that a turbine must have to approximate the ideal efficiency of 16/27. The discovery of the role of the Betz's angles has permitted demonstrating the theory in a more general context, extending it from a flat, two-dimensional, representation to a deeper, three-dimensional, understanding of the problem. The ensuing result, in particular the possibility of obtaining constant yield and maximum efficiency through a finite topology of the actuator cylinder, implies in principle feasibility with a real turbine with axis perpendicular to the wind direction.
