Journal ArticleDOI
Invariant Formulation for the Minimum Induced Drag Conditions of Nonplanar Wing Systems
TLDR
In this article, a configuration-invariant analytical formulation for the induced drag minimization of single-wing nonplanar systems is presented under the hypotheses of linear potential flow and rigid wake aligned with the freestream.Abstract:
Under the hypotheses of linear potential flow and rigid wake aligned with the freestream, a configuration-invariant analytical formulation for the induced drag minimization of single-wing nonplanar systems is presented. Following a variational approach, the resulting Euler–Lagrange integral equation in the unknown circulation distribution is obtained. The kernel presents a singularity of the first order, and an efficient computational method, ideal for the early conceptual phases of the design, is proposed. Munk’s theorem on the normalwash and its relation with the geometry of the wing under optimal conditions is naturally obtained with the present method. Moreover, Munk’s constant of proportionality, not provided in his original work, is demonstrated to be the ratio between the freestream velocity and the optimal aerodynamic efficiency. The augmented Munk’s minimum induced drag theorem is then formulated. Additional induced drag theorems are demonstrated following the derivations of this invariant proced...read more
Citations
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Journal ArticleDOI
Challenges, Ideas, and Innovations of Joined-Wing Configurations: A Concept from the Past, an Opportunity for the Future
Rauno Cavallaro,Luciano Demasi +1 more
TL;DR: A review of studies on the United States joined-wing SensorCraft, Strut- and Truss- Braced Wings, Box Wings and PrandtlPlane shows potential in terms of aerodynamic efficiency, reduction of emissions and superior performances, strongly supporting the technical advantages of Joined Wings.
Book
Aircraft Aerodynamic Design: Geometry and Optimization
TL;DR: In this paper, the authors present a review of the building blocks of computational geometries, the curve and surface formulations at the heart of aircraft geometry, and a discussion of the most flexible shape models used in aerodynamic design.
Journal ArticleDOI
Minimizing Induced Drag with Lift Distribution and Wingspan
TL;DR: In this paper, minimum induced drag for fixed gross weight and wingspan is obtained from the elliptic lift distribution for steady level flight, but this is not obtained by imposing the constrain.
Journal ArticleDOI
Lift Distributions for Minimum Induced Drag with Generalized Bending Moment Constraints
David J. Pate,Brian German +1 more
TL;DR: In this article, an approach to extend the classical methods by allowing the bending constraints to be imposed at different lift coefficients than that at which induced drag is minimized is presented. But this approach requires the bending constraint at a limiting structural load condition, such as a maneuver lift coefficient.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Book
Fundamentals of Aerodynamics
TL;DR: In this article, Navier-Stokes et al. discuss the fundamental principles of Inviscid, Incompressible Flow over airfoils and their application in nonlinear Supersonic Flow.
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TL;DR: The handbook of mathematical functions is universally compatible with any devices to read and is available in the digital library an online access to it is set as public so you can get it instantly.
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Low-Speed Aerodynamics
Joseph Katz,Allen Plotkin +1 more
TL;DR: In this article, a modern treatment of the subject, both the theory of inviscid, incompressible, and irrotational aerodynamics and the computational techniques now available to solve complex problems is presented.
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TL;DR: In this paper, the authors present a review of the work, energy, and variational calculus of solid mechanics and their application in the analysis of plate models. But their focus is on the theory and analysis of plates.