Flow of Generalized Burgers’ Fluid Induced by Sawtooth Pulses Stress with Quadratic Edges

Abstract

This paper presents the unsteady magnetohydrodynamic (MHD) flow of a generalized Burgers' fluid between two side walls perpendicular to a plate. The flow is generated from rest at timeinduced by stress applied on the bottom plate. The stress is assumed to be like sawtooth pulses with quadratic edges. The solutions obtained by means of the Laplace, and Fourier cosine and sine transforms are presented as a sum between the corresponding Newtonian and non-Newtonian contributions. Graphs are sketched for various parameters of interest.