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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 435697, 7 pages
http://dx.doi.org/10.1155/2014/435697
Research Article

Mixed Convection Unsteady Stagnation-Point Flow towards a Stretching Sheet with Slip Effects

1School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, Fujian 350108, China
2The State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, Zhejiang 310027, China

Received 29 January 2014; Accepted 30 March 2014; Published 17 April 2014

Academic Editor: Zhijun Zhang

Copyright © 2014 Hui Chen. 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 paper studies the unsteady mixed convection flow of an incompressible viscous fluid about a stagnation point on a stretching sheet in presence of velocity and thermal slips. The governing equations are transformed into the ordinary differential equations by using similarity transformations. The transformed equations are solved numerically by an efficient shooting method. The characteristics of the flow and heat transfer features for governing parameters are analyzed and discussed for both the assisting and opposing flows. It is found that dual solutions exist for certain range of buoyancy parameter which again depend on the unsteadiness parameter and the slip parameters (i.e., and ). The numerical results show that the increase of unsteadiness parameter and the slip effects cause increment in the existence range of similarity solution. The effects of unsteadiness parameter, the velocity ratio parameter, and the velocity and thermal slip parameters on the velocity and temperature distributions are analyzed and discussed.