Abstract

Entropy generation during peristaltic flow of nanofluids in a non-uniform two dimensional channel with compliant walls has been studied. The mathematical modelling of the governing flow problem is obtained under the approximation of long wavelength and zero Reynolds number (creeping flow regime). The resulting non-linear partial differential equations are solved with the help of a perturbation method. The analytic and numerical results of different parameters are demonstrated mathematically and graphically. The present analysis provides a theoretical model to estimate the characteristics of several Newtonian and non-Newtonian fluid flows, such as peristaltic transport of blood.

Highlights

  • Over the last few decades, several mathematical models have been used for different kinds of fluids, either Newtonian fluids [1,2,3], or non-Newtonian fluids [4,5,6] to describe the physical phenomena of flow in fluid mechanics

  • The reason behind is that Brownian motion enhances the thermal conductivity of a nanofluid by generating micro-mixing and as a consequence of which the temperature profile increases strongly

  • Entropy generation during peristaltic blood-like flow of a non-Newtonian nanofluid in a channel having complaint walls has been studied in this article

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Summary

Introduction

Over the last few decades, several mathematical models have been used for different kinds of fluids, either Newtonian fluids [1,2,3], or non-Newtonian fluids [4,5,6] to describe the physical phenomena of flow in fluid mechanics. There are many special cases of non-Newtonian fluids such as nanofluids, micropolar fluids and Ellis fluids, etc. Nanofluids are one of the important special casess of non-Newtonian fluids. Choi [7] was the first to introduce the motion of nanofluids in 1995. Nanofluids are the new generation of heat-conducting fluids with suspended nano-sized particles in the range of. Nanofluids indicate higher thermal conductivity than convectional coolants. Applications of nanofluids have been investigated in various media by many researchers [8,9,10,11,12]

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