https://doi.org/10.1140/epjp/i2017-11821-1
Regular Article
On some results of third-grade non-Newtonian fluid flow between two parallel plates
1
Department of Mathematics, Riphah International University, Islamabad, Pakistan
2
Department of Mathematics, University of Wah, Wah Cantt., Pakistan
3
Department of Mathematics, University of Gujrat, Gujrat, Pakistan
* e-mail: qazimahmood@outlook.com
Received:
13
September
2017
Accepted:
3
December
2017
Published online:
29
December
2017
In this paper, the main focus is to discuss the non-Newtonian third-grade fluid flow between two parallel plates. The mathematical model is consequent to the continuity and momentum equations. Three cases have been discussed such as the plane Couette flow, the plane Poiseuille flow and the last one is a plane Couette-Poiseuille flow. The modeled differential equations are converted into dimensionless form by suitable non-dimensional parameters, then they are solved by the variational iteration method (VIM). It is noticed that the variational iteration method is convenient to apply and is very helpful for finding solutions of a wide class of nonlinear problems.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017
