Peristaltic Transport of Power-Law Fluid in an Elastic Tapered Tube with Variable Cross-Section Induced by Dilating Peristaltic Wave

Authors

  • Mohammed Ali Murad Department of Mathematics, College of Basic Education, University of Diyala, Diyala, Iraq
  • Ahmed M. Abdulhadi Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.4.25

Keywords:

Peristaltic transport, dilating peristaltic, power-law fluid, wavelength number

Abstract

The peristaltic transport of power-law fluid in an elastic tapered tube with variable cross-section induced by dilating peristaltic wave is studied. The exact solution of the expression for axial velocity, radial velocity, stream function, local shear stress, volume of flow rate and pressure gradient are obtained under the assumption of long wavelength and low Reynolds number. The effects of all parameters that appear in the problem are analyzed through graphs. The results showed that the flux is sinusoidal in nature and it is an increasing function with the increase of  whereas it is a decreasing function with the increase of . An opposite behavior for shear strain is noticed compared to pressure gradient.  Finally, trapping phenomenon is presented to explain the physical behavior of various parameters. It is noted that the size of the trapping bolus increases with increasing  whereas it decreases as  increases. MATHEMATICA software is used to plot all figures.

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Published

2021-04-30

How to Cite

Murad, M. A., & Abdulhadi, A. M. . (2021). Peristaltic Transport of Power-Law Fluid in an Elastic Tapered Tube with Variable Cross-Section Induced by Dilating Peristaltic Wave. Iraqi Journal of Science, 62(4), 1293–1306. https://doi.org/10.24996/ijs.2021.62.4.25

Issue

Section

Mathematics