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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2017-5pp.375-383

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Total articles in the database: 10482
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A.M. Gaifullin and V.V. Zhvik, "Asymmetric separated flow about a Nikolsky wing with a protrusion," J. Appl. Math. Mech. 81 (5), 375-383 (2017)
Year 2017 Volume 81 Issue 5 Pages 375-383
DOI 10.1016/j.jappmathmech.2018.03.005
Title Asymmetric separated flow about a Nikolsky wing with a protrusion
Author(s) A.M. Gaifullin (Zhukovsky Central Aerohydrodynamic Institute, Zhukovsky, Russia, gaifullin@tsagi.ru)
V.V. Zhvik (Zhukovsky Central Aerohydrodynamic Institute, Zhukovsky, Russia, vladzhvick@yandex.ru)
Abstract The flow of an inviscid incompressible fluid about a wing of low aspect ratio with a parabolic planform (a Nikolsky wing) is investigated; a protrusion, whose height grows according to a parabolic law, is mounted on the leeward side of the wing in the symmetry plane. It is shown that for symmetric boundary conditions, along with a symmetric solution, an asymmetric solution also exists. The dependence of the asymmetric solution on the wing geometry is examined. It is shown that critical values of the wing curvature and the height of the protrusion exist, for which the asymmetric solution continuously transitions to the symmetric one. In addition, it is shown that a limit asymmetric solution exists which corresponds to an infinitely large protrusion. The stability of the solutions found is discussed.
Keywords low aspect ratio; parabolic wing; vortex sheets; angle of attack; side force
Received 07 February 2017
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