IMPACT OF VARIABLE LIQUID PROPERTIES ON PERISTALTIC MECHANISM OF CONVECTIVELY HEATED JEFFREY FLUID IN A SLIPPERY ELASTIC TUBE

G Manjunatha,K V Prasad,B B Divya,Vaidya Hanumesh,C Rajashekhar

doi:10.5098/hmt.12.15

Abstract

The present paper examines the peristaltic mechanism of a Jeffrey fluid through an elastic tube. The influence of velocity slip, convective boundary conditions, and variable liquid properties are taken into account. Closed form solutions are obtained for velocity, flux and temperature fields. In order to linearize the temperature equation, perturbation technique is employed. Also, the flux is determined theoretically via Rubinow and Keller and Mazumdar approach and the results are compared graphically. The effects of various vital parameters on the fluid flow are sketched and analyzed graphically. The findings emphasize the importance of elastic parameters in enhancing the flux of a non-Newtonian fluid. Moreover, a rise in the variable viscosity results in an increase in the velocity and temperature, whereas a drop in the flux is observed. Trapping phenomena reveals an increase in the volume of the bolus for increasing values of the variable viscosity and velocity slip parameter

Highlights

Peristalsis is the fluid flow mechanism through which the fluid is transported through a distensible tube by means of progressive waves of expansion and contraction. Latham (1966) was the first person to investigate the peristaltic mechanism in the transport of urine through the ureter
Numerous researchers have investigated the peristaltic mechanism of Jeffrey fluid in different geometrical configurations (Bhatti and Abbas (2016); Selvi et al (2017))
The present paper aims to investigate the peristaltic flow of a Jeffrey fluid through an elastic tube

Summary

Introduction

Peristalsis is the fluid flow mechanism through which the fluid is transported through a distensible tube by means of progressive waves of expansion and contraction. Latham (1966) was the first person to investigate the peristaltic mechanism in the transport of urine through the ureter. Numerous investigations have been carried out to study the process of peristaltic transport of fluids, both Newtonian and non- Newtonian. The analysis of non-Newtonian fluids is of more significance in the biological systems. Keeping this in mind, Mernone et al (2002) studied the peristaltic flow of physiological fluids by using the generalized form of the Casson model. Rajashekhar et al (2018a) investigated the peristaltic transport of blood by using HerschelBulkley fluid. They discussed the physiological behavior of Newtonian, power-law and Bingham fluids. Numerous researchers have investigated the peristaltic mechanism of Jeffrey fluid in different geometrical configurations (Bhatti and Abbas (2016); Selvi et al (2017))

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Conclusion