Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 740943, 14 pages
doi:10.1155/2010/740943
Research Article

Viscoelastic Fluid over a Stretching Sheet with Electromagnetic Effects and Nonuniform Heat Source/Sink

Department of the Digital Technology and Applications, Diwan University, 87-1, Nansh Li, Madou Jen, Tainan 72153, Taiwan

Received 19 October 2009; Revised 3 January 2010; Accepted 6 May 2010

Academic Editor: Kumbakonam R. Rajagopal

Copyright © 2010 Kai-Long Hsiao. 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

A magnetic hydrodynamic (MHD) of an incompressible viscoelastic fluid over a stretching sheet with electric and magnetic dissipation and nonuniform heat source/sink has been studied. The buoyant effect and the electric number E1 couple with magnetic parameter M to represent the dominance of the electric and magnetic effects, and adding the specific item of nonuniform heat source/sink is presented in governing equations which are the main contribution of this study. The similarity transformation, the finite-difference method, Newton method, and Gauss elimination method have been used to analyze the present problem. The numerical solutions of the flow velocity distributions, temperature profiles, and the important wall unknown values of f''(0) and θ'(0) have been carried out. The parameter Pr, E1, or Ec can increase the heat transfer effects, but the parameter M or A* may decrease the heat transfer effects.