Abstract
The velocity fields and the associated tangential stresses corresponding to the flow of a Burgers' fluid over a suddenly moved. at plate are established when the relaxation times satisfy the conditions gamma = lambda(2)/4 and gamma > lambda(2)/4. Using the Laplace transform, the solutions are presented in forms of simple or multiple integrals in term of Bessel functions J(0)(.), J(1)(.), I-0(.) and I-1(.). The simplest solutions are obtained when gamma = lambda(2)(r) and lambda = 2 lambda(r). The corresponding diagrams for velocity and shear stress are compared with those for a Newtonian fluid. (C) 2007 Elsevier Inc. All rights reserved.