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Numerical and series solutions of the peristaltic motion of an Oldroyd 8-constant fluid in an endoscope

  • S. Nadeem
  • , Noreen Sher Akbar
  • , T. Hayat
  • , Awatif A. Hendi
  • Quaid-I-Azam University
  • King Saud University

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In the present article, we have presented the peristaltic flow of an Oldroyd 8-constant fluid in an endoscope. The governing equations for the flow problem are simplified using long wavelength and low Reynold's number approximations. The solutions of the simplified problem are calculated using (i) Homotopy analysis method and (ii) Shooting method. The comparison of both the solutions shows a very good agreement between the results. The graphical results for the velocity field and stresses are presented to show the physical behaviour of all the parameters appearing in the problem.

Original languageEnglish
Pages (from-to)987-993
Number of pages7
JournalComputer Methods in Biomechanics and Biomedical Engineering
Volume14
Issue number11
DOIs
StatePublished - 2011
Externally publishedYes

Keywords

  • Comparison
  • Endoscope
  • Homotopy analysis method
  • Oldroyd 8-constant fluid
  • Peristaltic motion
  • Shooting method

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