The flow of an incompressible fluid between two parallel plates due to
the normal motion of the plate is investigated. The problem admits si
milarity 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 sch
eme is convenient in obtaining computer extension of a series solution
involving a small parameter, S. The series so generated yields expres
sions for skin friction and pressure gradient which are analyzed using
Pade approximants and other useful techniques (Van Dyke, 1974) of ser
ies analyses.