Abstract:
A general formulation of a nonlinear initial-boundary problem of an unsteady separated flow around an airfoil by an ideal incompressible fluid is considered. The problem is formulated for a complex velocity. Conditions of shedding of vortex wakes from the airfoil are analyzed in detail. The proposed system of functional relations allows constructing algorithms for solving a wide class of problems of the wing theory.
Keywords:
initial-boundary problem, separated flow, airfoil, vortex wake.
Citation:
D. N. Gorelov, “To formulating a nonlinear initial-boundary problem of an unsteady separated flow around an airfoil”, Prikl. Mekh. Tekh. Fiz., 48:2 (2007), 48–56; J. Appl. Mech. Tech. Phys., 48:2 (2007), 184–191
\Bibitem{Gor07}
\by D.~N.~Gorelov
\paper To formulating a nonlinear initial-boundary problem of an unsteady separated flow around an airfoil
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2007
\vol 48
\issue 2
\pages 48--56
\mathnet{http://mi.mathnet.ru/pmtf2011}
\elib{https://elibrary.ru/item.asp?id=17249415}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2007
\vol 48
\issue 2
\pages 184--191
\crossref{https://doi.org/10.1007/s10808-007-0024-9}
Linking options:
https://www.mathnet.ru/eng/pmtf2011
https://www.mathnet.ru/eng/pmtf/v48/i2/p48
This publication is cited in the following 3 articles:
D. N. Gorelov, “Three-dimensional analog of the Sokhotsky–Plemelj formulas and its application in the wing theory”, J. Appl. Mech. Tech. Phys., 52:6 (2011), 877–882
D. N. Gorelov, “On the nonlinear theory of the wing in a plane unsteady flow”, J. Appl. Mech. Tech. Phys., 52:5 (2011), 755–762
D. N. Gorelov, “Calculation of pressure on an airfoil contour in an unsteady separated flow”, J. Appl. Mech. Tech. Phys., 49:3 (2008), 437–441