In 1924, Ludwig Prandtl published a fundamental paper in which he showed that the lifting system with minimum induced drag is a box wing. The results were obtained through an approximate procedure. In the present paper we obtain an exact solution of Prandtl’s problem. In particular, we prove that the lift on the horizontal wings results of the superposition of a constant and an elliptical distributions and, on the vertical wings, it is butterfly shaped, as already shown by Prandtl. The discrepancies between the two solutions are discussed.
Best wing system: an exact solution of the Prandtl’s problem
Springer Optimization
15.06.2009
29 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Vortex Line , Lateral Wing , Circulation Function , Lift System , Wake Vortex Simulation and Modeling , Potential Theory , Automotive Engineering , Mathematical and Computational Engineering , Mathematics , Applications of Mathematics , Mathematical Modeling and Industrial Mathematics , Mathematics and Statistics
Best Wing System: An Exact Solution of the Prandtl's Problem
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