Added masses of an oblate spheroid near a plane wall

Abstract

In the first part of the paper, the motion of an oblate spheroid in unlimited liquid is considered. Velocity potentials and added masses are calculated in the cases the motion is along and across to the body symmetry axis. In the second part the approximate method of the velocity potential calculating in the case the motion near a plane wall is presented. It is shown that the motion near a plane wall is equivalent to the symmetric motion of two identical spheroids in an unlimited fluid with the symmetry plane coinciding with theplane wall.Approximateformulaeincluding the unknown velocity of the secondbody center(the “image” center) are given for the velocity potentials and added masses. Calculating the “image” centervelocity incasesofparallel and orthogonaldirectionof thesymmetry axis to the plane wall has been done. The results are compared with the exact solutions for the sphere and presented in tables.

Keywords:

ideal fluid, added masses, oblate spheroid, plane wall