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
2009-06-15
29 pages
Article/Chapter (Book)
Electronic Resource
English
Vortex Line , Wake Vortex , Circulation Function , Lift System , Lateral Wing Mathematics , Mathematical Modeling and Industrial Mathematics , Potential Theory , Simulation and Modeling , Applications of Mathematics , Mathematical and Computational Engineering , Automotive Engineering , Mathematics and Statistics
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