title: Numerical and series solutions of the peristaltic motion of an Oldroyd 8-constant fluid in an endoscope.
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.
authors.affiliation: Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad 44000, Pakistan. snqau@hotmail.com
authors.forename: S
authors.initials: S
authors.lastname: Nadeem
authors.forename: Noreen Sher
authors.initials: NS
authors.lastname: Akbar
authors.forename: T
authors.initials: T
authors.lastname: Hayat
authors.forename: Awatif A
authors.initials: AA
authors.lastname: Hendi
mesh_terms: D019723:Endoscopes; D008962:Models, Theoretical; D010528:Peristalsis