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Zeitschrift für Naturforschung A Contents Vol. 66a (2011)

Z. Naturforsch. 66a, 635 – 642 (2011)

doi:10.5560/ZNA.2011-0032

Unsteady Three-Dimensional Flow in a Second-Grade Fluid Over a Stretching Surface

Tasawar Hayat^1,2, Ambreen Safdar¹, Muhammad Awais¹, and Awatif A. Hendi²

¹Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan

²Department of Physics, Faculty of Sciences, King Saud University, P.O. Box 1846, Riyadh 11321, Saudi Arabia

Received April 6, 2011 / revised July 12, 2011

Reprint requests to: T. H.; Tel.: +92 51 90642172; E-mail: pensy_t@yahoo.com

The three-dimensional unsteady flow induced in a second-grade fluid over a stretching surface has been investigated. Nonlinear partial differential equations are reduced into a system of ordinary differential equations by using the similarity transformations. The homotopy analysis method (HAM) has been implemented for the series solutions. Graphs are displayed for the effects of different parameters on the velocity field.

Key words: Unsteady Flow; Second-Grade Fluid; Homotopy Solution.

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