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

S. Nadeem, Noreen Akbar, T. Hayat and Awatif Hendi

Computer Methods in Biomechanics and Biomedical Engineering, 2011, vol. 14, issue 11, 987-993

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.

Date: 2011
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DOI: 10.1080/10255842.2010.503960

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