THE FLOW OF A PARTICULAR CLASS OF OLDROYD-B FLUIDS

This paper deals with Taylor-Couette flow formation in a particularclass of Oldroyd-B fluids filling the annular region between twoinfinitely long coaxial circular cylinders, due to a time-dependent axial shear applied on the outer surface of the inner cylinder. The obtained solution is presented as the sum of a related Newtonian solution and the specific non-Newtonian contribution. Afterwards, it was specialized to give the solution for second grade fluids and Maxwell fluids, as well. Some exact solutions for particular classes of Oldroyd-B fluids arise as limiting cases of our solution. These results were established as limiting cases of the solution of an initial-boundary problem in fractional derivatives which was obtained, in its turn, by using the Laplace and Hankel transformations.