On one case of irrotational continuous flow of an infinite plane flow around an algebraic contour

Abstract

Previously, I considered the question of the motion of an ideal incompressible fluid in the presence of a stationary cylindrical solid body, which is relevant to the outline of airplane wings. In this case, the streamlined contour is assumed to be algebraic and the velocity of the fluid at an infinitely large distance from the solid body is constant in magnitude and direction. At infinity, the speed of an ideal incompressible fluid is constant in magnitude and direction. In this paper we show that applying the conformal transformation mentioned above results in an obstacle contour representing an algebraic curve of order 2m (see paper).