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Numerical optimization techniques for bound circulation distribution for minimum induced drag of nonplanar wings: Basic formulations

TLDR
In this paper, a theoretical method was developed for determining the optimum span load distribution for minimum induced drag for subsonic nonplanar configurations, where undistorted wing wake is assumed to have piecewise linear variation of shed vortex sheet strength, resulting in a quadratic variation of bound circulation and span load.
Abstract
A theoretical method was developed for determining the optimum span load distribution for minimum induced drag for subsonic nonplanar configurations. The undistorted wing wake is assumed to have piecewise linear variation of shed vortex sheet strength, resulting in a quadratic variation of bound circulation and span load. The optimum loading is obtained either through a direct technique, whereby derivatives of the drag expression are calculated analytically in terms of the unknown wake vortex sheet strengths. Both techniques agree well with each other and with available exact solutions for minimum induced drag.

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Citations
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Dissertation

Multidisciplinary Design Optimization of a Strut-Braced Wing Aircraft

TL;DR: In this paper, the authors used multidisciplinary design optimization (MDO) to investigate the use of truss-braced wing concepts in concert with other advanced technologies to obtain a significant improvement in the performance of transonic transport aircraft.
Journal ArticleDOI

Higher order farfield drag minimization for a subcritical wing design code

TL;DR: In this paper, a higher order Trefftz plane model of the undistorted interacting wing wakes of two symmetric subsonic planforms has been developed and integrated with an existing vortex lattice wing design code.
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Winglets on low-aspect-ratio wings

TL;DR: In this article, both wing-winglet and wing-alone design geometries were derived from a linear-theory, minimum induced drag design methodology and relative performance was evaluated with a nonlinear extended small disturbance potential flow analysis code.
References
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The lift distribution of wings with end plates

W Mangler
TL;DR: In this paper, the relationship of the circulation distribution over the wing and the lift to the height and position of the end plate was determined, and the side forces and moments on the end plates were also determined.
Journal ArticleDOI

A numerical solution for the minimum induced drag of nonplanar wings.

TL;DR: In this paper, a procedure was developed for the accurate computation of the minimum induced drag of nonplanar wings with pylon-like panels, provided the wing front view consists of straight line segments.
Book

A numerical solution for the minimum induced drag, and the corresponding loading, of nonplanar wings

J. L. Lundry
TL;DR: User manual for computer program 55VD for computation of minimum induced drag and load distribution of nonplanar wings.

Theoretical prediction of airplane stability derivatives at subcritical speeds

TL;DR: In this article, a theoretical analysis for predicting the major static and rotary stability derivatives for a complete airplane is presented using potential flow theory to compute the surface flow fields and pressures on any configuration that can be synthesized from arbitrary lifting bodies and nonplanar thick lifting panels.

Spanwise variation of potential form drag

TL;DR: In this article, the finite element method is used to calculate the spanwise variation of potential form drag of a wing at subsonic and supersonic speeds using linearly varying panels.