Unsteady motions of a generalized second-grade fluid
In this paper, six types of unsteady flows are examined, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows induced by plate motions, flow imposed by a flat plate that applies a constant tangential stress to the fluid, and flow generated by an oscillating rigid plate. A generalized second-grade model with the fractional calculus is considered. Exact analytical solutions of unsteady flows have been constructed by using discrete Laplace transform of fractional derivatives. (c) 2005 Elsevier Ltd. All rights reserved.
generalized second-grade fluid unsteady flows flat plate discrete laplace transform exact solutions