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Z. Naturforsch. 67a, 65 – 69
(2012)
doi:10.5560/ZNA.2011-0056
Unsteady Flow of a Power–Law Fluid past a Shrinking Sheet with Mass Transfer
1 Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Pahang, 26400 Bandar Tun Razak Jengka, Pahang, Malaysia
2 School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
3 Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania
Received May 16, 2011 / revised September 28, 2011
Reprint requests to: A. I.; E-mail:
anuarishak@yahoo.com
The unsteady two-dimensional boundary layer flow past a shrinking sheet in a non-Newtonian power-law fluid is investigated. The governing partial differential equations are transformed into a nonlinear ordinary differential equation using a similarity transformation before being solved numerically by the Runge–Kutta–Fehlberg method and the NAG Fortran library subroutine DO2HAF with shooting technique. The results obtained by both methods are in good agreement. It is found that dual solutions exist for a certain range of the unsteadiness parameter and the suction parameter. Moreover, by increasing the power-law index n, the skin friction coefficient is enhanced.
Key words: Unsteady Flow; Power-Law Fluid; Boundary Layer; Heat Transfer; Shrinking Sheet; Dual Solutions.