Novel Microstructural Features on Heat and Mass Transfer in Peristaltic Flow Through a Curved Channel

Raheel Ahmed,Sami Ullah Khan,Nasir Ali,Iskander Tlili,A M Rashad,Hossam A Nabwey

doi:10.3389/fphy.2020.00178

Abstract

Recently, significant interest has been developed by researchers towards the peristaltic transport of fluid as this phenomenon involves variety of applications in bio-mechanics, bio-engineering and biomedical industry. In present contribution, we investigate the effect of heat and mass transfer on magnetically influenced micropolar flow induced by peristaltic waves. The equations describing the flow and heat/ mass transfer are developed using curvilinear coordinates. A reduction of these equations is made based on lubrication approximation. Implicit finite difference scheme is employed to solve the set of reduced linear ordinary differential equations. The effects of coupling number, micropolar parameter, Hartmann number, Brinkmann number, rate of chemical reaction and curvature parameter on longitudinal velocity, pressure rise, temperature and mass concentration are analyzed in detail. The flow patterns in the channel illustrating the effects of several involved parameter are also displayed.

Highlights

The theory of fluids has gained the attention of scientists, engineers, biologists, and mathematicians in recent times
The prime objective of this study is to investigate the effects of coupling number, micropolar parameter, Hartmann number, Brinkman number, and dimensionless radius of curvature on flow, heat, and mass transfer characteristics
To understand some momentous consequences of peristaltic aspects of flow features, pumping phenomenon, temperature distribution and trapping phenomenon for various values of coupling number (N1), micropolar parameter (N2), Brinkman number (Br), Hartmann number (Ha), and curvature parameter (γ ), various graphs are provided in Figures 2–5 with relevant consequences

Summary

Introduction

The theory of fluids has gained the attention of scientists, engineers, biologists, and mathematicians in recent times. Fluids are categorized as Newtonian or non-Newtonian. Newtonian fluids are those in which viscous stresses sustain a linear relationship between strain rates at every point. The viscous fluids are referred to as a simple linear model that reports the viscosity. Examples of Newtonian fluids are water, glycerol, alcohol, thin motor oil, and air. Another class of fluids is defined as a fluid which fails to follow Newton’s viscosity model. Many researchers have been concentrating on the flows of non-Newtonian fluids. This is due to the applications of non-Newtonian fluids in polymer processing, biofluid mechanics, and complex mathematical non-linear constitutive equations

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