Minimum Induced Drag Theorems for Nonplanar Systems and Closed Wings

Luciano Demasi (), Giovanni Monegato () and Rauno Cavallaro ()
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Luciano Demasi: San Diego State University
Giovanni Monegato: Politecnico di Torino
Rauno Cavallaro: Universidad Carlos III de Madrid

A chapter in Variational Analysis and Aerospace Engineering, 2016, pp 191-217 from Springer

Abstract: Abstract An analytical formulation for the induced drag minimization of generic single-wing non-planar systems, biwings, and closed systems is presented. The method is based on a variational approach, which leads to the Euler–Lagrange integral equations in the unknown circulation distributions. The relationship between quasi-closed C-wings, biwings, and closed systems is discussed and several induced drag theorems/properties are introduced. It is shown that under optimal conditions these systems present the same minimum induced drag and the circulation can be obtained from a fundamental one by just adding a constant. The shape of the optimal aerodynamic load on the Box Wing is showed to change with the distance between the wings; differently that what assumed in previous works, it is not the superposition of a constant and an elliptical function.

Keywords: Multidisciplinary Design Optimization; Freestream Velocity; Aerodynamic Efficiency; Lower Wing; Lift Line (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-45680-5_8

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