4.5 Article

Endoscopic effects on the peristaltic flow of an Eyring-Powell fluid

Journal

MECCANICA
Volume 47, Issue 3, Pages 687-697

Publisher

SPRINGER
DOI: 10.1007/s11012-011-9478-1

Keywords

Peristaltic flow; Eyring-Powell fluid; Endoscope; Perturbation solution; Numerical solution

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Funding

  1. King Saud University [RGP-VPP-080]

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This study investigates the peristaltic flow of Eyring-Powell fluid in an endoscope. The governing equations for Eyring-Powell are modeled in cylindrical coordinates under the assumption of long wavelength and low Reynolds number approximation. The resulting nonlinear differential equations are solved analytically and numerically by employing perturbation method and shooting technique. Numerical integration have been done for pressure rise and frictional forces. Comparative study have been made for both the solutions to see the validity of the results. The effects of various emerging parameters are investigated for five different peristaltic waves. (Basically peristaltic phenomena is a natural phenomena so it is not necessary that peristaltic wave be always a sinusoidal wave it could be multisinusoidal, triangular, trapezoidal and square waves for example heartbeats.) Streamlines have been plotted at the end of the article.

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