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Analytic Solution in the Problem of Constructing an Airfoil with Minimum Wave Drag
Authors:S. A. Takovitskii
Affiliation:(1) Convective Heat Transfer Laboratory, MEB 2110, 50 S. Central Campus Drive, Department of Mechanical Engineering , University of Utah, Salt Lake City, UT 84112-9208, USA;(2) School of Mechanical Engineering, Kumoh National University of Technology, 730-701 Gumi, Gyongbook, Korea;
Abstract:
A solution of the problem of optimization of an airfoil in a supersonic flow is proposed. A symmetric airfoil with minimum wave drag for a given longitudinal cross-sectional area is constructed within the framework of a local analysis of variations of the shape with respect to the exact solution for a wedge and a rhombus. Analytic dependences representing the shape of the airfoil and its drag are found. The solution obtained is tested numerically within the framework of the Euler model.
Keywords:airfoil  wave drag  supersonic flow
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