Abstract
Schemes of the proofs of theorems stated by S.E. Gazizova and D.V. Maklakov in their work (Lobachevsky J. Math. 42, 1969–1976 2021) are given. The theorems serve as a basis for designing supercavitating hydrofoils possessing the minimum drag coefficient for the given lift coefficient. Thus, the maximum lift-to-drag ratio is attained.
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REFERENCES
S. Gazizova and D. Maklakov, “Optimum shapes of supercavitating hydrofoils at zero cavitation number,” Lobachevskii J. Math. 42, 1969–1976 (2021). https://doi.org/10.1134/s1995080221080102
M. I. Gurevich, The Theory of Jets in an Ideal Fluid, 2nd ed. (Nauka, Moscow, 1979; Pergamon, Oxford, 2014).
G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities (Cambridge Univ. Press, Cambridge, 1934).
Funding
This work is supported the Russian Scientific Foundation (grant no. 23-11-00066).
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Translated by M. Talacheva
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Maklakov, D.V., Gazizova, S.E. & Kayumov, I.R. Optimal Velocity Distributions in the Design of Supercavitating Hydrofoils. Russ Math. 67, 49–54 (2023). https://doi.org/10.3103/S1066369X23080030
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DOI: https://doi.org/10.3103/S1066369X23080030