Eur. Phys. J. Plus (2019) 134: 198
https://doi.org/10.1140/epjp/i2019-12563-8

Regular Article

Arrhenius activation in MHD radiative Maxwell nanoliquid flow along with transformed internal energy

¹ Department of Mathematics, Quaid-i-Azam University, 44000, Islamabad, Pakistan
² Department of Mathematics, Mirpur University of Science and Technology (MUST), 10250, Mirpur, Pakistan
³ Department of Mathematics, College of Sciences, King Khalid University, 61413, Abha, Saudi Arabia

^* e-mail: mair.khan@math.qau.edu.pk

Received: 3 September 2018
Accepted: 8 January 2019
Published online: 13 May 2019

Abstract

A theoretical study is performed to analyze the behavior of transformed internal energy in a magnetohydrodynamic Maxwell nanofluid flow over a stretching sheet along with Arrhenius activation energy and chemical reaction. The suitable similarity transformations are used to convert the constituted governing nonlinear PDEs into ODEs. The Runge-Kutta based shooting approach is used in order to yield the numerical solution of the differential system. The effects of the involved parameters (Hartmann number, fluid relaxation parameter, slip parameter, Eckert number, radiation parameter, Prandtl number, Brownian parameter, small parameter, Lewis number, thermophoresis parameter, chemical reaction and Arrhenius activation energy) on velocity, temperature and concentration fields are explored through graphical investigation. The numerical results of the skin friction coefficient, rate of heat and mass transport are analyzed through graphs and tables. It is revealed that the temperature distribution augments with the increase in the Eckert number, small parameter, Brownian parameter, thermophoresis parameter and thermal radiation parameter, while reduces with the upsurge values of the Prandtl number. Moreover, the concentration profile reduces with the increase in the Lewis number. Achieved numerical results are also compared with the present data in limiting cases and excellent agreement is found.