Power-law elliptical bodies of minimum drag in approximation of newton pressure coefficient law

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Abstract

Newton's classical problem of constructing bodies with minimum drag is being developed in the direction of studying the characteristics of bodies with non-circular cross-sections. The examples of pyramidal bodies, the elliptical cone, and the power-law elliptical body demonstrate the possibility of reducing drag compared to axisymmetric bodies, provided that the length and the base area are preserved. The obtained results correct the erroneous results and conclusions, published in the journals “Applied Mathematics and Mechanics” (Nguyen V.L. Power-Law Elliptical Bodies of Minimum Drag in a Gas Flow // Applied Mathematics and Mechanics, 2023, vol. 87, no. 3, pp. 454–460) and “Fluid Dynamics” (Nguyen, V.L. Power-Law Elliptical Bodies of Minimum Drag in a Gas Flow // Fluid Dyn 58, 1367–1372 (2023)).

About the authors

S. A. Takovitskii

Central aerohydrodynamic institute named after prof. N.E. Zhukovsky

Email: c.a.t@tsagi.ru
Zhukovsky, Russia

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