Similarity Solutions for Boundary Layer Equations of a Powel-Eyring Fluid

Tasawar Hayat; Mehmet Pakdemirli; Yiğit Aksoy

doi:10.3390/mca18010062

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Article

1 April 2013

Similarity Solutions for Boundary Layer Equations of a Powel-Eyring Fluid

and

Department of Mathematics, Quaid-i Azam University, Islamabad, Pakistan

Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Department of Mechanical Engineering, Celal Bayar University, 45140, Muradiye, Manisa, Turkey

Author to whom correspondence should be addressed.

Math. Comput. Appl.2013, 18(1), 62-70;https://doi.org/10.3390/mca18010062

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Abstract

Boundary layer equations are derived for the first time for the Powel-Eyring fluid model, a non-Newtonian model proposed for pseudoplastic behavior. Using a scaling symmetry of the equations, partial differential system is transferred to an ordinary differential system. Resulting equations are numerically solved using a finite difference algorithm. Effects of non-Newtonian parameters on the solutions are discussed.

Keywords:

non-newtonian fluid; powel-eyring fluid; boundary layer theory; similarity transformations

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