Approximate solutions of viscous incompressible flow around fluid spheres at intermediate reynoldc's numbers

Approximate solutions of viscous incompressible flow around fluid spheres were presented. Expressions for stream functions approximately satisfying equations of motion for both exterior and interior fluid were obtained using Galerkin's method with the inclusion of inertial terms for both equations. The retention of inertial terms of the interior fluid was found to have insignificant effect on the flow behavior of exterior fluid. However, the circulation velocity within the fluid sphere was found to increase with the increase of the internal Reynold's number, which may be of importance to the study of mass transfer within fluid spheres.