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Revisiting the combinatorics of lifting line and 2D vortex lattice theory

Published online by Cambridge University Press:  09 August 2019

M. A. Yukish Open the ORCID record for M. A. Yukish [Opens in a new window]
M. A. Yukish*
Affiliation:
The Applied Research Laboratory The Pennsylvania State UniversityUniversity Park, Pennsylvania, USA
*
[email protected]
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Abstract

This work revisits analyses of lifting line theory by A.R. Collar from 1958, bringing to bear some modern tools and techniques. The 2D vortex lattice model is also considered. Interesting combinatorial properties and simplified expressions for terms are presented, a simplified proof of model convergence shown, extension of the convergence properties to elliptical and arbitrary wing planforms is demonstrated, and approximations provided. An alternative proof of the optimality of constant downwash is presented. Modern automated theorem proving techniques are employed in confirming the combinatorial results.

Keywords

Lifting line modelVortex lattice theoryAutomated theorem proving
Type
Research Article
Information
The Aeronautical Journal , Volume 123 , Issue 1265 , July 2019 , pp. 993 - 1012
Copyright
© Royal Aeronautical Society 2019 

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References

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