Atangana-Baleanu fractional model for electro-osmotic flow of viscoelastic fluids

The main goal of the current research paper is to examine the magnetohydrodynamics (MHD) free convection flow of generalized Walters'-B fluid with the effect of electro-osmosis. Electro-osmosis is the motion of liquid across a porous material which is generated by the applied potential on a net mobile electric charge in a solution. The classical Walters'-B fluid model is transformed to generalize Walters'-B fluid model using the new idea of Atangana-Baleanu time fractional derivative. Exact solutions for the velocity and temperature profiles of the stated problem are obtained using the Laplace transform technique. Some interesting and important results have been obtained from the current study. The effects of various embedded parameters like Walters'-B parameter Gamma, Prandtl number Pr, Grashof number Gr, K-eff and electro-osmosis parameter Es have been plotted graphically using Mathcad software. It is worth nothing that for increasing values of Es, velocity decreases. Furthermore, a decrease in velocity is observed for increasing value of Walters'-B fluid parameter Gamma. (C) 2019 Elsevier Ltd. All rights reserved.