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On the use of the method of matched asymptotic expansions in propeller aerodynamics and acoustics

Published online by Cambridge University Press:  26 April 2006

H. H. Brouwer
H. H. Brouwer
Affiliation:
National Aerospace Laboratory NLR, 1006 BM Amsterdam. The Netherlands
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Abstract

The applicability of the method of matched asymptotic expansions to both propeller aerodynamics and acoustics is investigated. The method is applied to a propeller with blades of high aspect ratio, in a uniform axial flow. The first two terms of the inner expansion and the first three terms of the outer expansion are considered. The matching yields an expression for the spanwise distribution of the downwash velocity. A numerical application shows that the first two terms of the inner solution do not yield an acceptable approximation for the downwash velocity. However, recasting the analytical expressions into an integral equation, similar to Prandtl's lifting line equation for wings, yields results for both aerodynamic and acoustic quantities, which agree well with experimental results. The method thus constitutes a practical analysis method for conventional propellers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 242 , September 1992 , pp. 117 - 143
Copyright
© 1992 Cambridge University Press

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