Determination of hydrodynamic reactions acting on an oscillating profile

Sedov's equations [1], which make it possible to calculate the total hydrodynamic reactions exerted by an ideal fluid on an oscillating profile, are well known. These equations are expressed by contour integrals containing the complex potential of the unsteady flow past the profile. Certain modifications of these equations are proposed in paper [2]. In this paper, other equations are proposed for the calculation of the same quantities, based on the specification of the tangential velocity component of the fluid along the contour of the oscillating profile. In a number of cases, the application of these equations can be more useful than that of Sedov's equations.