  The velocity field and the associated tangential stress corresponding to flow
of a generalized second grade fluid between two infinite coaxial circular
cylinders, are determined by means of the Laplace and Hankel transforms. At
time $t=0$ the fluid is at rest and at $t=0^+$ cylinders suddenly begin to
rotate about their common axis with a constant angular acceleration. The
solutions that have been obtained satisfy the governing differential equations
and all imposed initial and boundary conditions. The similar solutions for a
second grade fluid and Newtonian fluid are recovered from our general
solutions. The influence of the fractional coefficient on the velocity of the
fluid is also analyzed by graphical illustrations.
