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International Journal of Engineering Mathematics
Volume 2014, Article ID 905158, 10 pages
http://dx.doi.org/10.1155/2014/905158
Research Article

Influence of Variable Thermal Conductivity on MHD Boundary Layer Slip Flow of Ethylene-Glycol Based Cu Nanofluids over a Stretching Sheet with Convective Boundary Condition

1Department of Mathematics, Sri Venkateswara University, Tirupati 517502, India
2Department of Mathematics, Yogananda Institute of Technology and Science, Tirupati 517520, India

Received 24 May 2014; Revised 2 October 2014; Accepted 2 October 2014; Published 6 November 2014

Academic Editor: J. A. Tenreiro Machado

Copyright © 2014 N. Bhaskar Reddy 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

An analysis is carried out to investigate the influence of variable thermal conductivity and partial velocity slip on hydromagnetic two-dimensional boundary layer flow of a nanofluid with Cu nanoparticles over a stretching sheet with convective boundary condition. Using similarity transformation, the governing boundary layer equations along with the appropriate boundary conditions are transformed to a set of ordinary differential equations. Employing Runge-kutta fourth-order method along with shooting technique, the resultant system of equations is solved. The influence of various pertinent parameters such as nanofluid volume fraction parameter, the magnetic parameter, radiation parameter, thermal conductivity parameter, velocity slip parameter, Biot number, and suction or injection parameter on the velocity of the flow field and heat transfer characteristics is computed numerically and illustrated graphically. The present results are compared with the existing results for the case of regular fluid and found an excellent agreement.