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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2026-06-11 23:58 |
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Conference: Bucharest University Faculty of Physics 2026 Meeting
Section: Theoretical and Computational Physics, Applied Mathematics
Title:
On the Minimum Induced Drag of Quasi-Closed Wings: A Proof of Kroo's Conjecture
Authors:
Adrian STOICA
Affiliation:
Faculty of Physics, University of Bucharest, 405 Atomistilor street, Magurele, RO-077125
E-mail
adrian.stoica@unibuc.ro
Keywords:
non-planar wing, minimum drag, singular integral operators
Abstract:
In this work, in the case of a symmetric wing, we present a rigorous proof of Ilan Kroo's conjecture stating that the minimum induced drag of a quasi-closed wing approaches that of a fully closed wing configuration. The proof is formulated as an operatorial convergence result for a family of singular integral equations.
References:
1. Kroo, I., Nonplanar Wing Concepts for Increased Aircraft Efficiency,
Proceedings of the VKI Lecture Series on Innovative Configurations and Advanced Concepts for Future Civil Aircraft (2005).
2. L.Demasi, A.Dipace, G.Monegato, R.Cavallaro, Invariant formulation for the minimum induced drag conditions of nonplanar wing systems, AIAA Journal, 52, 2223-2240 (2014)
3. N.I.Muskhelishvili, Singular integral equations, Noordhoff N.V.-Groningen Holland (1953)
4. Mikhlin, S.G., Prossdorf S., Singular Integral Operators, Singular Integral Operators, Springer-Verlag Berlin Heidelberg (1986)
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