Computer extended series for squeezing flow between plates

The flow of an incompressible fluid between two parallel plates due to the normal motion of the plate is investigated. The problem admits similarity solutions, thereby reducing unsteady Navier-Stokes equations to a nonlinear ordinary differential equation of order four involving the small parameter S . A proposed new semi-analytic semi-numerical scheme is convenient in obtaining computer extension of a series solution involving a small parameter, S. The series so generated yields expressions for skin friction and pressure gradient which are analyzed using Padé approximants and other useful techniques (Van Dyke, 1974) of series analyses.