Asymmetric separated flow about a Nikolsky wing with a protrusion

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.