STOKES HOW DUE TO INFINITE ARRAYS OF STOKESLETS IN 3 DIMENSIONS

Infinite periodic arrays of stokeslets in three dimensions are summed up by obtaining various rapidly converging infinite series. The three cases treated here are: 1. Identical stokeslets distributed at constan t intervals on a line parallel to a plate, 2. An array of identical st okeslets distributed on a two-dimensional periodic lattice on a plane parallel to a plate, 3. The same array, but parallel to and in between two plates. Computational results are shown and comparisons with prev iously averaged expressions are made.