Z. Naturforsch. 67a, 363 – 368
(2012)
doi:10.5560/ZNA.2012-0028
Boundary Layer Theory and Symmetry Analysis of a Williamson Fluid
Yiğit
Aksoy1,
Tasawar
Hayat2,3, and
Mehmet
Pakdemirli4
1 Department of Mechanical Engineering, Celal Bayar University, 45140, Muradiye, Manisa, Turkey
2 Department of Mathematics, Quaid-i Azam University, Islamabad, Pakistan
3 Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
4 Department of Mechanical Engineering, Celal Bayar University, 45140, Muradiye, Manisa, Turkey
Received August 16, 2011 / revised January 17, 2012 / published online July 3, 2012
Reprint requests to: M. P.; Tel.: +90.236.2412146, Fax: +90.236.2412143, E-mail:
mpak@cbu.edu.tr
Boundary layer equations are derived for the first time for a Williamson fluid. Using Lie group theory, a symmetry analysis of the equations is performed. The partial differential system is transferred to an ordinary differential system via symmetries, and the resulting equations are numerically solved. Finally, the effects of the non-Newtonian parameters on the solutions are discussed.
Key words: Non-Newtonian Fluid; Williamson Fluid; Boundary Layer Theory; Lie Group Theory.