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Minimum Induced Drag Theorems for Nonplanar Systems and Closed Wings

In: Variational Analysis and Aerospace Engineering

Author

Listed:
  • Luciano Demasi

    (San Diego State University)

  • Giovanni Monegato

    (Politecnico di Torino)

  • Rauno Cavallaro

    (Universidad Carlos III de Madrid)

Abstract

An analytical formulation for the induced drag minimization of generic single-wing non-planar systems, biwings, and closed systems is presented. The method is based on a variational approach, which leads to the Euler–Lagrange integral equations in the unknown circulation distributions. The relationship between quasi-closed C-wings, biwings, and closed systems is discussed and several induced drag theorems/properties are introduced. It is shown that under optimal conditions these systems present the same minimum induced drag and the circulation can be obtained from a fundamental one by just adding a constant. The shape of the optimal aerodynamic load on the Box Wing is showed to change with the distance between the wings; differently that what assumed in previous works, it is not the superposition of a constant and an elliptical function.

Suggested Citation

  • Luciano Demasi & Giovanni Monegato & Rauno Cavallaro, 2016. "Minimum Induced Drag Theorems for Nonplanar Systems and Closed Wings," Springer Optimization and Its Applications, in: Aldo Frediani & Bijan Mohammadi & Olivier Pironneau & Vittorio Cipolla (ed.), Variational Analysis and Aerospace Engineering, pages 191-217, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-45680-5_8
    DOI: 10.1007/978-3-319-45680-5_8
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    Cited by:

    1. Cezary Galinski & Mateusz Lis & Jaroslaw Hajduk, 2017. "Electric Propulsion Concepts for an Inverted Joined Wing Airplane Demonstrator," Energies, MDPI, vol. 10(6), pages 1-21, May.

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