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Journal of Applied Mathematics
Volume 2012, Article ID 587834, 10 pages
http://dx.doi.org/10.1155/2012/587834
Research Article

Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation

1Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari 48161-19318, Iran
2Azmoon Pardazesh Research Institute, No. 2, Malekloo Street, Narmak, Tehran 1483764874, Iran

Received 19 November 2011; Revised 25 January 2012; Accepted 10 February 2012

Academic Editor: M. F. El-Amin

Copyright © 2012 Javad Alinejad and Sina Samarbakhsh. 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 flow and heat transfer characteristics of incompressible viscous flow over a nonlinearly stretching sheet with the presence of viscous dissipation is investigated numerically. The similarity transformation reduces the time-independent boundary layer equations for momentum and thermal energy into a set of coupled ordinary differential equations. The obtained equations, including nonlinear equation for the velocity field 𝑓 and differential equation by variable coefficient for the temperature field 𝜃 , are solved numerically by using the fourth order of Runge-Kutta integration scheme accompanied by shooting technique with Newton-Raphson iteration method. The effect of various values of Prandtl number, Eckert number and nonlinear stretching parameter are studied. The results presented graphically show some behaviors such as decrease in dimensionless temperature 𝜃 due to increase in Pr number, and curve relocations are observed when heat dissipation is considered.