Best wing system: an exact solution of the Prandtl’s problem

Aldo Frediani () and Guido Montanari ()
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Aldo Frediani: “L. Lazzarino”, Università di Pisa
Guido Montanari: “L. Tonelli”, Università di Pisa

Chapter Chapter 11 in Variational Analysis and Aerospace Engineering, 2009, pp 183-211 from Springer

Abstract: Abstract 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.

Keywords: Vortex Line; Wake Vortex; Circulation Function; Lift System; Lateral Wing (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-0-387-95857-6_11

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DOI: 10.1007/978-0-387-95857-6_11

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