Hydrodynamics. — On the application of Oseen’s hydrodynamical equations to the problem of the slipstream from an ideal propeller

Abstract

As is well known, Oseen has given the hydrodynamical equations in a form, especially adapted to the treatment of problems, concerning the disturbances, caused by the presence of a body or by the action of a system of external forces, in a stream of fluid, moving originally with the constant velocity V. Oseen has shown moreover that these differential equations can be transformed into a system of integral equations (or more exactly integro-differential equations), and much attention has been given to the question whether the latter equations can be solved by means of the method of successive approximations. This question becomes of the greatest interest when we go to the limit of vanishing viscosity (or, what comes to the same thing, of an infinite Reynolds number), as in that case we come to the problems that are of most importance in technical applications. ¹)