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

In: Variational Analysis and Aerospace Engineering

Author

Listed:
  • Aldo Frediani

    (“L. Lazzarino”, Università di Pisa)

  • Guido Montanari

    (“L. Tonelli”, Università di Pisa)

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.

Suggested Citation

  • Aldo Frediani & Guido Montanari, 2009. "Best wing system: an exact solution of the Prandtl’s problem," Springer Optimization and Its Applications, in: Variational Analysis and Aerospace Engineering, chapter 0, pages 183-211, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-95857-6_11
    DOI: 10.1007/978-0-387-95857-6_11
    as

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