Peristaltic flow of a Sisko fluid in an endoscope: analytical and numerical solutions

Abstract

This article deals with the peristaltic flow of a Sisko fluid in an endoscope. The inner tube of the endoscope is fixed, while outer tube is flexible. Continuity and momentum equations are utilized in the mathematical analysis and obtained both the analytical and numerical solutions. The analytical solution has been found by the homotopy analysis method and the numerical solutions are carried out by the shooting technique. The comparison of both the solutions are presented. And the quantitative behaviours of the solutions are discussed.

Keywords:

• Sisko fluid
• endoscope
• numerical solution
• HAM solution
• comparison

2000 AMS Subject Classification :

• 76A05

Acknowledgements

The authors are thankful to Higher Education Commission for the financial support of this work.