THE STOKES FLOW OF AN ARBITRARY PROLATE AXISYMMETRIC BODY TOWARDS AN INFINITE PLANE WALL

By distributing continuously the image Sampsonlets with respect to the plane and byapplying the constant density,the linear and the parabolic approximation,the analyticexpressions in closed form for flow field are obtained.The drag factor of the prolatespheroid and the Cassini oval are calculated for different slender ratios and differentdistances between the body and the plane.It is demonstrated that the proposed method issatisfactory both in convergence and accuracy.Comparison with existing results in the caseof prolate spheroid shows that the coincidence is quite good.