Z. Naturforsch. 68a, 785 – 790 (2013)
Group-Theoretic Approach to Boundary Layer Equations of an Oldroy-B Fluid
Mehmet Pakdemirli1, Tasawar Hayat2, and Yiğit Aksoy1
1 Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
2 Department of Mathematics, Quaid-i Azam University, Islamabad, Pakistan
Received June 16, 2013 / revised August 10, 2013 / published online October 30, 2013
Reprint requests to: M. P.; Tel.: +90 236 2318816, Fax: +90 236 2372442, E-mail: mpak@cbu.edu.tr
Boundary layer equations are derived for the first time for an Oldroy-B fluid. The symmetry analysis of the equations is performed using Lie Group theory and the partial differential system is transferred to an ordinary differential system via symmetries. Resulting equations are numerically solved for the case of the stretching sheet problem. Effects of non-Newtonian parameters on the solutions are discussed.
Key words: Non-Newtonian Fluid; Oldroy-B Fluid; Boundary Layer Theory; Lie Group Analysis; Stretching Sheet Problem.
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