An Approximate Solution for the Rayleigh-Stokes Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative Model Using the Adomian Decomposition Method

Abstract

The Rayleigh-Stokes problem for a generalized second grade fluid subject to a flow on a heated flat plate and within a heated edge is investigated. Fractional calculus is used for description of such a viscoelastic fluid. We employ the Adomian decomposition method to construct an approximate solution. Some examples are presented to show the efficiency and simplicity of the method.