The Kinetic Energy of a Body of Revolution Moving in an Infinite Fluid

A body of revolution is assumed to move rectilinearly in a perfect fluid, and the motion imparted to the fluid separated into its axial and transverse components. The velocity potentials for these two types of motion are well known and may be expressed in series of ellipsoidal harmonics. Analogous to a general theorem given by G. I. Taylor, it is then shown in a simple manner that the kinetic energy of the fluid external to the moving body depends only on the coefficients of the first terms of the aforementioned series and on the volume of the moving body.