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Mathematical Problems in Engineering
Volume 2013, Article ID 257161, 5 pages
http://dx.doi.org/10.1155/2013/257161
Research Article

Micropolar Fluid Flow and Heat Transfer over a Nonlinearly Stretching Plate with Viscous Dissipation

1Department of Science in Engineering, Kulliyyah of Engineering, International Islamic University Malaysia, Gombak, 50728 Kuala Lumpur, Malaysia
2School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia

Received 1 March 2013; Accepted 12 June 2013

Academic Editor: Xing-Gang Yan

Copyright © 2013 Kartini Ahmad 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 flow and heat transfer of a micropolar fluid past a nonlinearly stretching plate is studied numerically, by taking into account the viscous dissipation effect. It is assumed that the plate is stretched nonlinearly from the slot where it is issued. The governing system of partial differential equations is transformed into ordinary differential equations, which are then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters, namely, the material parameter , the Eckert number Ec, the Prandtl number Pr, and the nonlinear stretching parameter , on the flow field and the heat transfer characteristics are obtained and discussed. The velocity and the temperature profiles are also illustrated to aid the validity of the numerical results obtained. It is found that both the local Nusselt number and the magnitude of the skin friction coefficient increase with the nonlinear stretching parameter , and the opposite trend occurs as increases for fixed .