Eur. Phys. J. Plus (2017) 132: 256
https://doi.org/10.1140/epjp/i2017-11530-9

Regular Article

On chemical reaction and porous medium effect in the MHD flow due to a rotating disk with variable thickness

¹ Department of Mathematics, Quaid-I-Azam University, 45320, 44000, Islamabad, Pakistan
² Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
³ Department of Mathematics, University of Wah, 47040, Wah Cantt, Pakistan

^* e-mail: mi_qau@yahoo.com

Received: 5 April 2017
Accepted: 3 May 2017
Published online: 12 June 2017

Abstract

The present analysis describes the magnetohydrodynamic (MHD) axisymmetric flow of a viscous fluid due to a rotating disk with variable thickness. An electrically conducting fluid fills the porous space. The first-order chemical reaction is considered. The equations of the present problem representing the flow of a fluid are reduced into nonlinear ordinary differential equations. Convergent series solutions are obtained. The impacts of the various involved dimensionless parameters on fluid flow, temperature, concentration, skin frction coefficient and Nusselt number are examined. The radial, tangential and axial components of velocity are affected in a similar manner on changing the thickness coefficient of the disk. Similar effects of the disk thickness coefficient are observed for both the temperature and concentration profile.