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The Minimum Induced Drag of Aerofoils

TLDR
In this paper, it was shown that the distribution of lift which causes the least drag is reduced to the solution of the problem for systems of airfoils which are situated in a plane perpendicular to the direction of flight.
Abstract
Equations are derived to demonstrate which distribution of lifting elements result in a minimum amount of aerodynamic drag. The lifting elements were arranged (1) in one line, (2) parallel lying in a transverse plane, and (3) in any direction in a transverse plane. It was shown that the distribution of lift which causes the least drag is reduced to the solution of the problem for systems of airfoils which are situated in a plane perpendicular to the direction of flight.

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Journal ArticleDOI

DRAG DUE TO LIFT: Concepts for Prediction and Reduction

TL;DR: Focusing on relatively high-aspect-ratio subsonic wings, the review suggests that opportunities for new concepts remain, but the greatest challenge lies in their integration with other aspects of the system.
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Gliding birds: reduction of induced drag by wing tip slots between the primary feathers

TL;DR: The aerodynamic forces on a wing made of a base wing and different wing tips are described to provide strong evidence that the tip slots of soaring birds reduce induced drag in the sense that the separated tip feathers act as winglets and increase the span factor of the wings.

The Spanwise Distribution of Lift for Minimum Induced Drag of Wings Having a Given Lift and a Given Bending Moment

TL;DR: In this article, the minimum induced drag of a wing having a given lift and a given span is extended to include cases in which the bending moment to be supported by the wing is also given.
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The design of winglets for high-performance sailplanes

TL;DR: In this paper, an improved methodology for winglet design has been developed, incorporating a detailed component drag buildup that includes the ability to interpolate input airfoil drag and moment data across operational lift coefficient, Reynolds number, and flapsetting ranges.
Journal ArticleDOI

Induced-Drag Minimization of Nonplanar Geometries Based on the Euler Equations

TL;DR: In this article, an aerodynamic shape optimization algorithm based on the Euler equations is proposed to minimize the induced drag of several nonplanar configurations using twist optimization to recover an elliptical lift distribution.