Homotopy perturbation method for flow of a third-grade fluid through a vertical concentric annulus

Muhammad Zeb; Saeed Islam; Abdul Majeed Siddiqui; Tahira Haroon

doi:10.1515/ijnsns-2011-0019

Homotopy perturbation method for flow of a third-grade fluid through a vertical concentric annulus

Muhammad Zeb, Saeed Islam, Abdul Majeed Siddiqui, Tahira Haroon

Penn State York

Research output: Contribution to journal › Article › peer-review

Abstract

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 β on the velocity profiles are also presented through graphs. It is observed that the velocity profiles are strongly depending upon the Non-Newtonian parameter β.

Original language	English (US)
Pages (from-to)	281-287
Number of pages	7
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	13
Issue number	3-4
DOIs	https://doi.org/10.1515/ijnsns-2011-0019
State	Published - Aug 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Computational Mechanics
Modeling and Simulation
Engineering (miscellaneous)
Mechanics of Materials
General Physics and Astronomy
Applied Mathematics

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abstract = "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 β on the velocity profiles are also presented through graphs. It is observed that the velocity profiles are strongly depending upon the Non-Newtonian parameter β.",

author = "Muhammad Zeb and Saeed Islam and Siddiqui, {Abdul Majeed} and Tahira Haroon",

year = "2012",

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AB - 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 β on the velocity profiles are also presented through graphs. It is observed that the velocity profiles are strongly depending upon the Non-Newtonian parameter β.

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JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 3-4

ER -

Homotopy perturbation method for flow of a third-grade fluid through a vertical concentric annulus

Abstract

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