Channel flow of MHD bingham fluid due to peristalsis with multiple chemical reactions: an application to blood flow through narrow arteries

H Vaidya,K V Prasad,F Mebarek-Oudina,A Patil,S U Khan,P Nagathan,C Rajashekhar

doi:10.1007/s42452-021-04143-0

Abstract

The present analysis emphasizes the effects of variable properties on Bingham fluid under MHD peristaltic transport. Due to the impact of mechanical forces on the applied magnetic field on the conducting fluid, the fluid stream gets altered. These principle targets drug transport and control of blood flow during surgeries; hence the impact of MHD flow with convective and porous boundary conditions is considered. Further, the implications of homogeneous and heterogeneous reactions are analyzed by considering wall properties. The governing equations are turned dimensionless by appropriate similarity transformations. The series solution is obtained for temperature, velocity, and concentration by perturbation method with lubrication approach. The graphical representation of the pertinent parameters on the physiological flow quantities is depicted by applying for MATLAB 2019b program. The obtained results reveal that the rise in the magnetic parameter diminishes the velocity and temperature profiles. Further, the impact of variable viscosity slightly improves the magnitude of the trapped bolus. The homogenous and heterogeneous reaction parameters have a converse effect on the concentration distribution. Moreover, the present investigation finds its applications to perceive the complex rheological functioning of blood flow through narrow arteries.

Highlights

The peristalsis process induces the fluid flow through a duct due to the waves generated along the wall, as observed in the human gastrointestinal tract
The study of blood flow inside the arteries can be emphasized through the reflection of flow through porous walls
The consequences of variable liquid properties on the MHD peristaltic flow of Bingham fluid are detailed in this analysis

Summary

Introduction

The peristalsis process induces the fluid flow through a duct due to the waves generated along the wall, as observed in the human gastrointestinal tract. Latham [1] has coined the idea of fluid transport employing peristaltic waves in mechanical and physiological studies. Usha and Ramachandra [2] have analyzed the peristaltic transport in various physiological situations of interest and concluded that the peristaltic waves always increase the mean flow rate for power-law fluids. Hamid et al [3] studied the micropolar fluid’s nonlinear peristaltic motion, assuming long wavelength and moderate Reynolds number. The study by Eldesoky et al [4] signifies the consequences of slip conditions at the boundaries, the dynamic behavior of wall properties, and relaxation time on the motion of viscous non-Newtonian Maxwell fluid employing peristalsis. [5] analyzed the importance of slip conditions on peristalsis in different configurations

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