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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-23 18:11 |
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Conference: Bucharest University Faculty of Physics 2016 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
An Exact Solution for the Minimum Induced Drag of an Arched Wing
Authors:
A. STOICA
Affiliation:
University of Bucharest, Faculty of Physics
E-mail
adst21@yahoo.com
Keywords:
non-planar wing, airfoil singular integral equation, span efficiency factor
Abstract:
In a recent paper of L.Demasi et al., the problem of the induced drag minimization of a non-planar wing, in the frame of the lifting-line theory, was approached using techniques of variational methods. The corresponding Euler-Lagrange equation is a singular integral equation in the unknown circulation distribution. In the present paper, in the case of an arched wing, we bring this equation to the form of the airfoil singular integral equation for whom the exact solution is known. Hence, we get the exact form of the optimal circulation distribution. More, a closed-form expression of the span efficiency factor in full agreement with the numerical results given by Demasi et al. is obtained.
References:
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)
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