Analog of the Kutta-Joukowskii theorem for the Helmholtz-Kirchhoff flow past a profile

Abstract

A study was conducted to demonstrate analog of the Kutta-Joukowskii theorem for the Helmholtz-Kirchhoff flow past a profile. The theorem stated that the flow domain was two-sheeted when a curve AB was convex or concave everywhere, which did not vanish identically and the curve was located in the flow at such an angle of attack that the points O and A coincided. The theorem demonstrated that this useless segment OA was of great importance for obtaining a realistic one-sheeted flow. It was possible to design the profiles which had the lift almost equal to maximum and the flow domain over them was one-sheeted.