Abstract
In an asymptotic approximation of small spacings an analytic solution to the problem on harmonic oscillations of a thin airfoil which is moving with a subsonic velocity near a solid plane boundary is given. Results of a computation of the lifting force are given.
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References
L. I. Sedov, Plane Problems of Hydrodynamics and Aerodynamics [in Russian], Nauka, Moscow (1980).
A. N. Panchenkov, “Quadrupole theory of a wing near a solid boundary,” Asymptotic Methods in Dynamics of Systems, Nauka, Novosibirsk (1980), pp. 5–116.
K. V. Rozhdestvenskii, Method of Splicing Asymptotic Expansions in the Hydrodynamics of a Wing [in Russian], Sudostroenie, Leningrad (1979).
I. I. Efremov, “On a method of separation of solutions in ‘quadrupole’ theory of wing,” Dynamics of Continuous Medium With Nonstationary Boundaries, B.I., Cheboksary (1984), pp. 53–58.
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Translated from Dinamicheskie Sistemy, No. 7, pp. 48–53, 1988.
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Efremov, I.I. Asymptotics of small spacings for subsonic nonstationary streamlined flow of a thin airfoil close to a solid boundary. J Math Sci 65, 1526–1530 (1993). https://doi.org/10.1007/BF01097657
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DOI: https://doi.org/10.1007/BF01097657