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International Journal of Engineering Mathematics
Volume 2014, Article ID 618591, 8 pages
http://dx.doi.org/10.1155/2014/618591
Research Article

Developing Buoyancy Driven Flow of a Nanofluid in a Vertical Channel Subject to Heat Flux

1Department of Mathematics & Statistics, College of Science, Sultan Qaboos University, Al Khod, 123 Muscat, Oman
2Department of Mathematics, Banaras Hindu University, Varanasi 221005, India
3Department of Applied Mathematics, School of Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, India

Received 24 August 2013; Accepted 17 November 2013; Published 2 February 2014

Academic Editor: Alberto Cardona

Copyright © 2014 Nirmal C. Sacheti 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 developing natural convective flow of a nanofluid in an infinite vertical channel with impermeable bounding walls has been investigated. It is assumed that the nanofluid is dominated by two specific slip mechanisms and that the channel walls are subject to constant heat flux and isothermal temperature, respectively. The governing nonlinear partial differential equations coupling different transport processes have been solved numerically. The variations of velocity, temperature, and nanoparticles concentration have been discussed in relation to a number of physical parameters. It is seen that the approach to the steady-state profiles of velocity and temperature in the present work is different from the ones reported in a previous study corresponding to isothermal wall conditions.