Effect of relaxation and retardation times on dusty Jeffrey fluid in a curved channel with peristalsis

Ambreen Afsar Khan,Saira Zafar,Atifa Kanwal

doi:10.1177/16878140211028454

Ambreen Afsar Khan, Saira Zafar + Show 1 more

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https://doi.org/10.1177/16878140211028454

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Abstract

In recent work, the Jeffrey liquid with uniform dust particles in a symmetric channel is studied. Moving sinusoidal wave is executed on the walls of the channel, which generates peristaltic transport in the fluid. The governing equations for fluid and dust particles have been formulated using stream function. Perturbation method is used to get analytical solution of the problem by using small wave number. Graphical analysis has been carried out for stream function and velocity of fluid and dust particles. Effects of different parameters such as curvature k, relaxation time [Formula: see text], wave number [Formula: see text] and retardation time [Formula: see text] are debated through graphs for both dust particles and fluid. The noteworthy outcomes are fluid velocity, pressure gradient in the region [Formula: see text] and bolus size increases by increasing [Formula: see text]

Highlights

Peristaltic pumping is the motion of a fluid by travelling waves executed on the walls of a channel or tube
Peristaltic flow of dusty Jeffrey fluid has not been studied in curved channel
Graphical demonstration of various parameters on velocity profile and stream functions will be discussed

Summary

Introduction

Peristaltic pumping is the motion of a fluid by travelling waves executed on the walls of a channel or tube. Unsteady viscous fluid flow with dust particles uniformly distributed has been analyzed by Gireesha et al.[17] by considering rectangular channel. Sato et al.[25] studied two dimensional peristaltic flow of viscous fluid in curved channel. Rashid et al.[27] examined the peristaltic movement of Williamson fluid in curved channel with induced magnetic field. Hayat et al.[28] studied the consequence of magnetic field on peristaltic motion of Suttre by fluid in curved configuration. Peristaltic flow of dusty Jeffrey fluid has not been studied in curved channel. The nonlinear equations modeled and solved with perturbation method For both solid particles and fluid, the velocity field and stream function are calculated. It is related with Qs, the dimensionless time flow with in the fixed frame as where ðh ∂c

Method of solution

Results and discussions

Conclusions