EXACT SOLUTIONS FOR SOME UNSTEADY FLOWS OF GENERALIZED SECOND GRADE FLUIDS IN CYLINDRICAL DOMAINS

The velocity field and the adequate shear stress, corresponding to the unsteady °ow of generalized second grade °uids due to a constantly accelerating circular cylinder, are determined by means of the Hankel and Laplace transforms. The solutions that have been obtained satisfyall imposed initial and boundary conditions and for beta right arrow1 reduce to the similar solutions for the second grade fluids performing the same motion.