论文标题
刀片元素动量理论的分析
Analysis of the Blade Element Momentum Theory
论文作者
论文摘要
Lock等人介绍的叶片元素动量（BEM）理论。 Glauert以现代形式制定的形式提供了一个框架，以建模涡轮机和流体流量之间的空气动力学相互作用。该理论用于估计涡轮机效率或设计辅助工具。但是，缺乏数学解释限制了对其某些问题的理解。本文的目的是提出对BEM方程的分析。我们的方法是基于格劳特模型的重新制定，该模型使我们能够确定标准以确保解决方案的存在，分析常规和新（以及更有效的）溶液算法的收敛性，并研究涡轮机设计程序。数学分析通过数值实验完成。
The blade element momentum (BEM) theory introduced by Lock et al. and formulated in its modern form by Glauert provides a framework to model the aerodynamic interaction between a turbine and a fluid flow. This theory is used either to estimate turbine efficiency or as a design aid. However, a lack of mathematical interpretation limits the understanding of some of its issues. The aim of this paper is to propose an analysis of BEM equations. Our approach is based on a reformulation of Glauert's model which enables us to identify criteria to guarantee the existence of solutions, analyze the convergence of usual and new (and more efficient) solution algorithms, and study turbine design procedures. The mathematical analysis is completed by numerical experiments.
