Eur. Phys. J. Plus (2016) 131: 395
https://doi.org/10.1140/epjp/i2016-16395-8

Regular Article

Non-linear heat and mass transfer in a MHD Homann nanofluid flow through a porous medium with chemical reaction, heat generation and uniform inflow

¹ Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Heliopolis, Cairo, Egypt
² Department of Engineering Mathematics and Physics, Faculty of Engineering, Fayoum University, 63415, Fayoum, Egypt
³ Higher Technological Institute (HTI), 3rd zone, 7th section, P.O Box NO. 4, 6th of October City, Giza, Egypt
⁴ Mathematics Department, Faculty of Science, Beni-Suef University, 62511, Beni-Suef, Egypt

^* e-mail: mohamed.essawy@hti.edu.eg

Received: 3 September 2016
Accepted: 14 October 2016
Published online: 10 November 2016

Abstract

The steady MHD axisymmetric flow of an incompressible viscous electrically conducting nanofluid impinging on a permeable plate is investigated with heat and mass transfer. An external uniform magnetic field as well as a uniform inflow, in the presence of either suction or injection, are applied normal to the plate. The effects of heat (generation/absorption) and chemical reaction have been accentuated. This study indicates the incorporated influence of both the thermophoresis phenomenon and the Brownian behavior. Numerical solutions for the governing non-linear momentum, energy and nanoparticle equations have been obtained. The rates of heat and mass transfer are presented and discussed.