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Numerical and series solutions of the peristaltic motion of an Oldroyd 8-constant fluid in an endoscope |
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| Authors: | S Nadeem Noreen Sher Akbar T Hayat Awatif A Hendi |
| Institution: | 1. Department of Mathematics , Quaid-i-Azam University , 45320, Islamabad , 44000 , Pakistan snqau@hotmail.com;3. Department of Mathematics , Quaid-i-Azam University , 45320, Islamabad , 44000 , Pakistan;4. Department of Mathematics , Quaid-i-Azam University , 45320, Islamabad , 44000 , Pakistan;5. Department of Physics , Faculty of Science, King Saud University , P.O. Box 1846 , Riyadh 11321 , Saudi Arabia;6. Department of Physics , Faculty of Science, King Saud University , P.O. Box 1846 , Riyadh 11321 , Saudi Arabia |
| 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. |
| Keywords: | peristaltic motion Oldroyd 8-constant fluid endoscope homotopy analysis method shooting method comparison |