On some results of third-grade non-Newtonian fluid flow between two parallel plates

被引：5

作者：

Ayub, Kamran ^{[1
]}

Khan, M. Yaqub ^{[1
]}

Ashraf, Muhammad ^{[2
]}

Ahmad, Jamshad ^{[3
]}

Mahmood-Ul-Hassan, Qazi ^{[2
]}

机构：

[1] Riphah Int Univ, Dept Math, Islamabad, Pakistan

[2] Univ Wah, Dept Math, Wah Cantt, Pakistan

[3] Univ Gujrat, Dept Math, Gujrat, Pakistan

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 12期

关键词：

VARIATIONAL ITERATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; ADOMIAN DECOMPOSITION METHOD; TRANSFORM METHOD; SYSTEMS;

D O I：

10.1140/epjp/i2017-11821-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：11

共 38 条

[1] Solving nonlinear partial differential equations using the modified variational iteration Pade technique [J].