The Theory of Induced Lift and Minimum Induced Drag of Nonplanar Lifting Systems

The Theory of Induced Lift and Minimum Induced Drag of Nonplanar Lifting Systems

Author: Clarence D. Cone (Jr.)

Publisher:

Published: 1962

Total Pages: 44

ISBN-13:

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The basic theory of the induced lift and drag of nonplanar, circulation lifting systems is investigated, and conformal transformation and electrical-analog techniques are developed for determining the minimum induced drag of arbitrary systems. Several complex systems are analyzed to illustrate the procedures. Problems attending the practical application of the results to airfoil design are discussed and possible solutions suggested.


The Theory of Induced Lift and Minimum Induced Drag of Nonplanar Lifting Systems

The Theory of Induced Lift and Minimum Induced Drag of Nonplanar Lifting Systems

Author: Clarence D. Cone

Publisher:

Published: 1962

Total Pages: 44

ISBN-13:

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Introduction -- Symbols -- Fundamental theoretical considerations -- The principle of vorticity attenuation -- The effective aspect ratio of nonplanar lifting systems -- Determination of the span loading distribution for minimum induced drag -- Solutions for the effective aspect ratio of optimally loaded arcs -- Solutions for more complex systems -- The induced lift of nonplanar systems -- Practical application considerations -- Concluding remarks -- References.


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

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

Author: Robert T. Jones

Publisher:

Published: 1950

Total Pages: 708

ISBN-13:

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The problem of the minimum induced drag of wings 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. Expressions for the spanwise load distribution and the minimum drag in terms of the lateral position of the load centroid are given. The results show a 15-percent reduction of the induced drag with a 15-percent increase in span over that for an elliptic loading having the same total lift and bending moment.


The Aerodynamic Design of Wings with Cambered Span Having Minimum Induced Drag

The Aerodynamic Design of Wings with Cambered Span Having Minimum Induced Drag

Author: Clarence D. Cone (Jr.)

Publisher:

Published: 1963

Total Pages: 36

ISBN-13:

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"The basic aerodynamic relations needed for the design of wings with cambered span having a minimum induced drag at specified flight conditions are developed for wings of arbitrary spanwise camber. Procedures are also developed for determining the physical wing form required to obtain the maximum value of lift-drag ratio at cruise, when the wing spanwise camber-line and section profiles are specified, by optimizing the wing chord and twist distributions with respect to both profile and induced drags. The application of the design procedure is illustrated by determining the physical wing form for a circular-arc spanwise camber line. The efficiency of this cambered wing is compared with that of an equal-span, flat wing of elliptical planform which satisfies the same set of fright operating conditions as does the cambered wing. The wing pitching- moment equations for optimally loaded cambered-span wings at design flight conditions are also developed for use in trim analyses on complete aircraft designs."--Page 1.