Abstract

The existing analysis deals with heat transfer occurrence on peristaltic transport of a Carreau fluid in a rectangular duct. Flow is scrutinized in a wave frame of reference moving with velocity c away from a fixed frame. A peristaltic wave propagating on the horizontal side walls of a rectangular duct is discussed under lubrication approximation. In order to carry out the analytical solution of velocity, temperature, and pressure gradient, the homotopy perturbation method is employed. Graphical results are displayed to see the impact of various emerging parameters of the Carreau fluid and power law index. Trapping effects of peristaltic transport is also discussed and observed that number of trapping bolus decreases with an increase in aspect ratio β.

Highlights

  • The applications of peristaltic flows in medical and engineering sciences have attracted the attention of a number of researchers

  • A limited attention has been focused to the study of peristaltic flows with heat transfer [11,12,13,14,15]

  • Keeping in mind the present information, the heat transfer phenomena on the peristaltic flow of non-Newtonian fluid have not been discussed in a threedimensional channel

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Summary

Introduction

The applications of peristaltic flows in medical and engineering sciences have attracted the attention of a number of researchers. Based on his experimental theory, numerous researchers have inspected the phenomenon of peristaltic transport under many conjectures [2,3,4,5,6,7,8,9,10] Another fascinating area in connection with peristaltic motion is the heat transfer which has industrial applications like sanitary fluid transport, blood pumps in the heart-lungs machine and transport of corrosive fluids where the contact of fluid with the machinery parts are prohibited. Keeping in mind the present information, the heat transfer phenomena on the peristaltic flow of non-Newtonian fluid have not been discussed in a threedimensional channel. The aim of the present problem is to discuss the effects of heat transfer on peristaltic flow of a non-Newtonian fluid in a rectangular duct with different wave forms.

Mathematical Formulation of the Problem
Solution of the Problem
30 Multisinusoidal wave
30 Trapezoidal waves
Expressions for Different Wave Shapes
Numerical Results and Discussion
Conclusion
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