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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2001, Volume 42, Issue 4, Pages 68–75 (Mi pmtf2797)  
Lift force of an airfoil in the form of an arc with a sink

N. B. Il'inskii, N. D. Yakimov

Institute of Mathematics and Mechanics, Kazan' State University, Kazan', 420008
Full-text PDF (246 kB)
Abstract: The problem of maximizing the lift force of an airfoil in the form of an arc with a sink modeling flow removal is studied within the framework of the classical model of a steady ideal incompressible liquid flow. For a sink with a fixed flow rate, an optimal position on the upper surface of the arc is found, which ensures the greatest increase in the lift force. It is shown that, in the presence of a sink, the optimal shape of the arc with a limited curvature and chord length coincides with the optimal shape of the arc without a sink, which was designed by M. A. Lavrent'ev (an arc of a circle). The flow rate corresponding to the maximum lift force is determined, and the mechanism of the influence of flow removal on the lift force is examined.
Received: 11.09.2000
Accepted: 24.01.2001
English version:
Journal of Applied Mechanics and Technical Physics, 2001, Volume 42, Issue 4, Pages 621–627
DOI: https://doi.org/10.1023/A:1019299613384
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: N. B. Il'inskii, N. D. Yakimov, “Lift force of an airfoil in the form of an arc with a sink”, Prikl. Mekh. Tekh. Fiz., 42:4 (2001), 68–75; J. Appl. Mech. Tech. Phys., 42:4 (2001), 621–627
Citation in format AMSBIB
\Bibitem{IliYak01}
\by N.~B.~Il'inskii, N.~D.~Yakimov
\paper Lift force of an airfoil in the form of an arc with a sink
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2001
\vol 42
\issue 4
\pages 68--75
\mathnet{http://mi.mathnet.ru/pmtf2797}
\elib{https://elibrary.ru/item.asp?id=17266361}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2001
\vol 42
\issue 4
\pages 621--627
\crossref{https://doi.org/10.1023/A:1019299613384}
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