ON THE FLOW ABOUT A SPHEROID NEAR A PLANE WALL

The problem of incompressible potential flow about a prolate spheroid in axial motion parallel to a plane wall is considered and a solution free of any approximations, although not in closed form, is obtained. The added-mass coefficient for this motion is evaluated and the results are compared with an existing approximate solution. The expansion of harmonic functions of the form exp (Ax plus By plus (z) in a series of spheraidal harmonics, needed in the solution of the preceding problem and useful in general in the analysis of problems in potential theory in which spheroidal boundaries appear, is obtained.