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OHAM and FEM solutions of concentric n-layer flows of incompressible third-grade fluids in a horizontal cylindrical pipe

  • S. Iqbal
  • I. SiddiqueEmail author
  • A. M. Siddiqui
Review
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Abstract

This paper examines the concentric n-layer flows for incompressible third-grade fluids through a horizontal cylindrical pipe. Such flows of multilayer fluids have a wide variety of applications in petroleum and chemical industries. The approximate solutions for velocity fields of multilayer flows are presented by the application of optimal homotopy asymptotic method and Galerkin’s finite element method. Further, it is shown that a unique maximum velocity always exists in the core of the pipe for any number of fluid layers. The effects of suitable parameters on the velocity profiles are presented graphically for multilayer flows.

Keywords

n-layer flows Concentric flow Third-grade fluids OHAM and FEM Approximate solutions 

Notes

Acknowledgements

The authors are grateful to the anonymous referee for a careful checking of the details and for helpful comments that improved this paper. Also the authors are highly thankful to the University of Management and Technology, Lahore, Pakistan, for supporting and facilitating.

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Department of Informatics and Systems, School of Systems and TechnologyUniversity of Management and TechnologyLahorePakistan
  2. 2.Department of MathematicsUniversity of Management and TechnologyLahorePakistan
  3. 3.Department of MathematicsPennsylvania State UniversityYorkUSA

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