Eur. Phys. J. Plus (2017) 132: 414
https://doi.org/10.1140/epjp/i2017-11713-4

Regular Article

Influence of non-integer order parameter and Hartmann number on the heat and mass transfer flow of a Jeffery fluid over an oscillating vertical plate via Caputo-Fabrizio time fractional derivatives

¹ Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan
² Department of Mathematics, University of the Punjab, Lahore, Pakistan
³ Department of Mathematics, University of Management & Technology, Lahore, Pakistan

^* e-mail: abdul4909@gmail.com

Received: 29 June 2017
Accepted: 18 August 2017
Published online: 5 October 2017

Abstract

In this work, semi analytical solutions for the heat and mass transfer of a fractional MHD Jeffery fluid over an infinite oscillating vertical plate with exponentially heating and constant mass diffusion via the Caputo-Fabrizio fractional derivative are obtained. The governing equations are transformed into dimensionless form by introducing dimensionless variables. A modern definition of the Caputo-Fabrizio derivative has been used to develop the fractional model for a Jeffery fluid. The expressions for temperature, concentration and velocity fields are obtained in the Laplace transformed domain. We have used the Stehfest’s and Tzou’s algorithm for the inverse Laplace transform to obtain the semi analytical solutions for temperature, concentration and velocity fields. In the end, in order to check the physical impact of flow parameters on temperature, concentration and velocity fields, results are presented graphically and in tabular forms.