Analysis of temperature dependent properties of a peristaltic MHD flow in a non-uniform channel: A Casson fluid model

The current work pertains to the peristaltic motion of a Casson fluid through a non-uniform channel with exposure to a radial magnetic field. The wall properties of the channel are taken into consideration. Moreover, the fluid is considered to possess variable viscosity which shows exponential variation across the width of the channel. The investigations also consider the mass and heat transfer properties of the Casson fluid, where convective boundary conditions are used and the thermal conductivity is taken be varying with fluid temperature. The model is built to give insight into blood flow through small vessels. Solution to the problem is obtained by the method of perturbation. The graphical analysis reveals an increase in the effect of variable viscosity on the fluid velocity close to the walls of the channel and also on the size of the bolus formed during trapping. Furthermore, an increase in fluid temperature was observed due to variable thermal conductivity. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Ain Shams University.

Automated summary

This study investigates the peristaltic motion of a Casson fluid through a non-uniform channel under the influence of a radial magnetic field, considering the fluid's variable viscosity and thermal conductivity. The solution to the problem is obtained through perturbation method, with graphical analysis revealing the impact of variable viscosity on fluid velocity and bolus size. Additionally, an increase in fluid temperature is observed due to variable thermal conductivity.