Abstract

The objective of this article is to investigate the impact of pseudoplaticity and dilatancy of fluid on peristaltic flow and heat transfer of non-Newtonian fluid in a non-uniform asymmetric channel. The mathematical-model incorporates the non-linear implicit stress deformation relation using the classical Reiner-Philippoff viscosity model, which is one of the very few non-Newtonian models exhibiting all the pseudoplastic, dilatant and Newtonian behaviors. The governing equations for the peristaltic flow and heat transfer of Reiner-Philippoff fluid are modeled using the low Reynolds-number and long wavelength approximation. Results of the study are presented graphically to discuss the impact of pseudoplaticity and dilatancy of fluid on the velocity, pressure gradient, bolus movement and temperature profile. The article is concluded with key observations that by increasing the value of the Reiner-Philippoff fluid parameter the velocity of fluid increase at the center of the channel and decreases near the boundaries of the channel. Effects of the shear stress parameter are opposite on pseudoplastic and dilatants fluid. By increasing the value of the shear stress parameter the velocity of the pseudoplastic fluid increases near the center of the channel, whereas the velocity of dilatants fluid decreases.

Highlights

  • The Interest in study regarding peristaltic flow involving the non-Newtonian fluids has grown significantly since last few decades, due to their applications in medical field and to investigate the behavior of blood in human body

  • The present study investigates the behavior of incompressible Reiner Philippoff fluid in an asymmetric nonuniform channel of width d1 + d2

  • We will discuss the impact of pseudoplaticity and dilatancy of Reiner-Philippoff fluid on peristaltic flow and heat transfer

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Summary

Introduction

The Interest in study regarding peristaltic flow involving the non-Newtonian fluids has grown significantly since last few decades, due to their applications in medical field and to investigate the behavior of blood in human body. The occurrence of many diseases in cardiovascular system has been associated with blood flow behavior in the blood vessels.[1] Many mathematical models for explaining the rheological behavior of blood have been briefly developed.[2,3,4,5] In early research, blood was treated as a Newtonian fluid.[6] Thurston et al.[7] described a basic rheological property of blood known as viscoelasticity, which defines blood as nonNewtonian fluid These properties which compose human blood as non-Newtonian fluid depend on the elastic behavior of red blood cells.

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