Eur. Phys. J. Plus (2017) 132: 145
https://doi.org/10.1140/epjp/i2017-11429-5

Regular Article

Cattaneo-Christov heat flux in flow by 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

^* e-mail: mi_qau@yahoo.com

Received: 10 December 2016
Accepted: 1 March 2017
Published online: 27 March 2017

Abstract

This paper addresses the three-dimensional flow of a viscous fluid due to a rotating disk with variable thickness. The Cattaneo-Christov heat flux model is used to examine the process of heat transfer. A system of ordinary differential equations is obtained by utilizing similarity transformations. The homotopy concept is used to obtain convergent series solutions. The impact of various parameters on fluid flow, temperature and skin friction coefficient is discussed graphically. Here we observed that for larger values of shape parameter the radial and tangential velocities and temperature distribution are increased. It is also revealed that an increase in the disk thickness index decreases the magnitude of the skin friction coefficient.