| Abstract: In this study, the infinite system of simultaneous
ordinary differential equations with variable coefficients
which is recently derived by Taželi and Demiralp to solve Stokes flow problem past an arbitrary axisymmetric body is considered. The complete series solutions of the truncated system are obtained for an arbitrary truncation order N.Each series solution together with logarithmic terms is shown to be convergent in the entire physical interval of interest. By constructing the solutions of the sytem of equations, the corresponding hydrodynamical problem formulated in terms of the stream function has been solved. As a numerical application, the drag on a prolate spheroid has been computed and compared with the exact result. Highly accurate numerical results have been achieved depending on the encouraging. It seems that the work provides a stable and efficient method, in a systematic manner to determine axisymmetric Stokes flow past an arbitrary body, the boundary shape of which is analytic, especially, whenever certain numerical difficulties appearing in the algorithm have been cured. Key words: Stokes Flow, Vector Differential Equations, Series Solutions, Drag.
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