Numerical and analytical simulation of peristaltic flow of a Jeffrey-six constant fluid

Abstract

This paper describes the Peristaltic flow of a Jeffrey-six constant fluid in an endoscope. The two-dimensional equation of Jeffrey-six constant fluid is simplified by making the assumptions of long wave length and low Reynolds number. The reduced momentum equations are solved with three methods, namely (i) Perturbation method, (ii) Homotopy analysis method, and (iii) shooting method. The comparison of the three solutions shows a very good agreement between the three results. The expressions for pressure rise and frictional forces per wave length have been also computed numerically. Finally, the pressure rise, frictional forces are plotted for different parameters of interest.

Keywords:

• peristaltic flow
• Jeffrey-six constant fluid
• endoscope
• perturbation solution
• HAM solution
• numerical solution

AMS Subject Classifications:

• 76ZXX