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

Muhammad Zeb, Saeed Islam, Abdul M. Siddiqui, Tahira Haroon

Research output: Contribution to journalArticle


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 languageEnglish (US)
Pages (from-to)281-287
Number of pages7
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Issue number3-4
Publication statusPublished - Aug 1 2012


All Science Journal Classification (ASJC) codes

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

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