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Pointed two-parameter power-law nose shapes of minimum wave drag
Affiliation:1. Industrial Engineering Technology, University of Southern Mississippi, Long Beach, MS, USA;2. Supply Chain Management, Berlin School of Economics and Law, Berlin, Germany;1. Aurel Vlaicu University of Arad, Department of Mathematics and Computer Science, Elena Dragoi 2, RO-310330 Arad, Romania;2. University of Oradea, Department of Energetics, Universitatii 1, RO-485620 Oradea, Romania;3. Agora University of Oradea, Department of Social Sciences, Piata Tineretului 8, RO-410526 Oradea, Romania;1. ISAE-SUPAERO, Université de Toulouse, 10 Avenue Edouard Belin, 31400 Toulouse, France;2. ICA, Université de Toulouse, UPS, INSA, ISAE-SUPAERO, MINES-ALBI, CNRS, 3 rue Caroline Aigle, 31400 Toulouse, France;3. Concordia University, 1455 De Maisonneuve Blvd., Montreal, QC H3G 1M8, Canada;1. College of Aerospace Science and Technology, Space Engineering University, Beijing 101400, China;2. Science and Technology on Scramjet Laboratory, National University of Defense Technology, Changsha 410073, China
Abstract:A direct method of constructing pointed contours which are close to optimum with respect to wave drag is developed for axisymmetric nose shapes using Euler's equations. A two-parameter power function is a good approximation of the contours constructed using this method. Calculations, carried out using the proposed approximation, demonstrate the reduction in the wave drag of the bodies constructed compared with existing optimum, blunt, one-parameter, power-law nose shapes.
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