Eur. Phys. J. Plus (2017) 132: 476
https://doi.org/10.1140/epjp/i2017-11772-5

Regular Article

Viscous dissipative transport of a ferrofluid ( Fe₃O₄ over a moving surface influenced by magnetic dipole and thermal deposition: Finite difference algorithm

Department of Mathematics, Faculty of Sciences, HITEC University Taxila, Taxila, Pakistan

^* e-mail: zahidiqbal_qau@yahoo.com

Received: 4 May 2017
Accepted: 16 October 2017
Published online: 13 November 2017

Abstract

The present article is a debate on the ferrofluidic transport over a moving surface influenced by a magnetic dipole. The convective heat impact on fluid is also taken into account. The physical flow of the fluid is modeled and transformed into a system of ordinary differential equations employing boundary layer approximations suitable transformations. The implicit finite difference numerical technique is applied to solve the acquired system. The effects of several parameters on momentum and temperature of the ferrofluid are investigated through graphs and tables. It is concluded that the ferrofluid interaction parameter reduces the momentum profile whereas it increases the temperature distribution. The viscous dissipation parameter results in a decrease in the temperature and a reverse trend is observed for the Eckert number. In addition, Eckert and radiation parameters increase the shear stress at the wall and decrease the heat flux rate.