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Journal of Applied Mechanics and Technical Physics

2002 year, number 1

Paradox of the blunt edge of an airfoil in an unsteady flow

D. N. Gorelov
Omsk Branch of the Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Omsk 644099

Abstract

A paradox of the blunt edge of an
airfoil in an unsteady ideal flow is
established, which states that the
solution of the nonlinear problem of
unsteady flow around a blunt-edged
airfoil subject to strict boundary
conditions at this edge is physically
meaningless. The paradox is a
consequence of the adopted model of the
unsteady fluid flow near the blunt edge,
which assumes inflection of streamlines.
It is established that the solution of
the problem by local replacement of the
blunt edge by a sharp edge using the
hypothesis on the smoothness of
streamlines near the trailing edge is
physically meaningful.