  In this paper, we formulated the non-steady flow due to the uniformly
accelerated and rotating circular cylinder from rest in a stationary, viscous,
incompressible and micropolar fluid. This flow problem is examined numerically
by adopting a special scheme comprising the Adams-Bashforth Temporal Fourier
Series method and the Runge-Kutta Temporal Special Finite-Difference method.
This numerical scheme transforms the governing equation for micropolar fluids
for this problem into system of finite-difference equations. This system was
further solved numerically by point SOR-method. These results were also further
extrapolated by the Richardson extrapolation method. This scheme is valid for
all values of the flow and fluid-parameters and for all time. Moreover the
boundary conditions of the vorticity and the spin at points far from the
cylinder are being imposed and encountered too. The results are compared with
existing results (for non-rotating circular cylinder in Newtonian fluids). The
comparison is good. The enhancement of lift and reduction in drag was observed
if the micropolarity effects are intensified. Same is happened if the rotation
of a cylinder increases. Furthermore, the vortex-pair in the wake is delayed to
successively higher times as rotation parameter increases. In addition, the
rotation helps not only in dissolving vortices adjacent to the cylinder and
adverse pressure region but also in dissolving the boundary layer separation.
Furthermore, the rotation reduces the micropolar spin boundary layer also.
