Analysis of the Blade Element Momentum Theory
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The Blade Element Momentum theory (BEM), introduced by H. Glauert in 1926, provides a framework to model the aerodynamic interaction between a turbine and a fluid flow. This theory is either used to estimate turbine efficiency or as a design aid. However, a lack of mathematical interpretation limits the understanding of some of its angles. 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 which ensure the existence of solution(s). In this framework, we also study the convergence of solution algorithms and analyze turbine design procedures. The mathematical analysis is completed and illustrated by numerical experiments.
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