On the Slow Viscous Flow past the Thin Aerofoil of the Symmetrical Joukowski Type : The Solution of the Oseen's Equations

Abstract

The solution of the Oseen's equations has been obtained by Lamb, Oseen, Bairstow and others only in the cases of a sphere, and a circular or elliptic cylinder. And their methods cannot be applied to other forms of boundary. A new method proposed by Prof. Isao Imai of Tokyo University is epoch-making, being applicable to various boundaries in the two-dimmensional problem. In this report the author, using Imai's method, integrates the Oseen's equations in the case of the thin aerofoil of the symmetrical Joukowski type placed in the uniform viscous flow. And the unique solution, without necessity of any assumption such as Joukowski's hypothesis in the perfect fluid, is obtained only from the boundary conditions.