Boundary Layer Equations and Lie Group Analysis of a Sisko Fluid-Reference-Cited by-同舟云学术

Boundary Layer Equations and Lie Group Analysis of a Sisko Fluid

Published:2012 Issue: Volume:2012 Page:1-9
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Sarı Gözde¹²^ORCID,Pakdemirli Mehmet¹²,Hayat Tasawar³⁴,Aksoy Yiğit¹

Affiliation:

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

2. Applied Mathematics and Computation Center, Celal Bayar University, Muradiye, 45140 Manisa, Turkey

3. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan

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

Abstract

Boundary layer equations are derived for the Sisko fluid. Using Lie group theory, a symmetry analysis of the equations is performed. A partial differential system is transferred to an ordinary differential system via symmetries. Resulting equations are numerically solved. Effects of non-Newtonian parameters on the solutions are discussed.

Funder

The Scientific and Technological Research Council of Turkey

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/259608.pdf

Reference31 articles.

1. Momentum and heat transfer in laminar boundary-layer flows of non-Newtonian fluids past external surfaces

2. Non-newtonian boundary-layer flow

3. The flow of a non-Newtonian liquid near a stagnation point