Z. Naturforsch. **68a,** 785 – 790
(2013)

doi:10.5560/ZNA.2013-0065

Group-Theoretic Approach to Boundary Layer Equations of an Oldroy-B Fluid

Mehmet
Pakdemirli^{1},
Tasawar
Hayat^{2}, and
Yiğit
Aksoy^{1}

^{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.