An approximate method for design of a three-element airfoil
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 112-121

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An approximate method for designing a three-element airfoil by a given velocity distribution on its surface as a function of the arc abscissa is formulated. The main point of the method is the reduction of a triply-connected flow region to a simply-connected one, located on a many-sheeted Riemann surface, by inserting flow suction and blowing channels, asymptotically tending to circular, between the airfoil elements. Examples of design calculations are presented.
Keywords: inverse boundary-value problem of aerodynamics, three-element airfoil, flap, slat.
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     author = {R. F. Mardanov},
     title = {An approximate method for design of a~three-element airfoil},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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R. F. Mardanov. An approximate method for design of a three-element airfoil. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 112-121. http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a10/