Table of Contents
International Journal of Computational Mathematics
Volume 2014 (2014), Article ID 631749, 12 pages
http://dx.doi.org/10.1155/2014/631749
Research Article

Computational Modelling of Couette Flow of Nanofluids with Viscous Heating and Convective Cooling

1Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
2Mathematics and Computational Science and Engineering, Nelson Mandela African Institution of Science and Technology (NM-AIST), Arusha, Tanzania

Received 28 April 2014; Accepted 18 November 2014; Published 14 December 2014

Academic Editor: Zhijie Xu

Copyright © 2014 Oluwole Daniel Makinde et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The combined effect of viscous heating and convective cooling on Couette flow and heat transfer characteristics of water base nanofluids containing Copper Oxide (CuO) and Alumina (Al2O3) as nanoparticles is investigated. It is assumed that the nanofluid flows in a channel between two parallel plates with the channel’s upper plate accelerating and exchange heat with the ambient surrounding following the Newton’s law of cooling, while the lower plate is stationary and maintained at a constant temperature. Using appropriate similarity transformation, the governing Navier-Stokes and the energy equations are reduced to a set of nonlinear ordinary differential equations. These equations are solved analytically by regular perturbation method with series improvement technique and numerically by an efficient Runge-Kutta-Fehlberg integration technique coupled with shooting method. The effects of the governing parameters on the dimensionless velocity, temperature, skin friction, pressure drop and Nusselt number are presented graphically, and discussed quantitatively.