Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus

被引：0

作者：

Zeb, Muhammad ^{[1
]}

Islam, Saeed ^{[1
]}

Siddiqui, Abdul Majeed ^{[2
]}

Haroon, Tahira ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

[2] Penn State Univ, Dept Math, Edgecombe, PA USA

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2012年 / 13卷 / 3-4期

关键词：

Vertical concentric annulus; homotopy perturbation method (HPM); second order nonlinear coupled differential equations; DIFFERENTIAL-EQUATION;

D O I：

10.1515/ijnsns-2011-0019

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper considers a theoretical study on steady incompressible flow of third grade fluid in helical screw rheometer (HSR) with zero flight angles (a vertical concentric annulus). The developed second order non linear coupled differential equations are solved by homotopy perturbation method. Expressions for torsional and longitudinal velocity components are derived. The effects of non-Newtonian parameter beta on the velocity profiles are also presented through graphs. It is observed that the velocity profiles are strongly depending upon the Non-Newtonian parameter beta.

引用

页码：281 / 287

页数：7

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