Abstract
This paper is organized to study the heat and mass transfer analyses by considering the motion of cilia for Newtonian, Pseudo-plastic, and Dilatant fluids through a horizontally inclined channel in the presence of metachronal waves and variable liquid properties. A non-Newtonian Rabinowitsch model is used to study the flow of peristalsis through ciliated walls. The slip and convective boundary conditions at the channel walls are taken into account. The mathematical model is developed in the form of complex nonlinear partial differential equations then transformed into simplified form by using the definition of low-Reynolds number with lubrication theory. The analytical solution is obtained by using the perturbation method due to its low computational cost and good accuracy. The graphical outcome is based on the behavior of certain physical parameters on velocity, temperature, and concentration profiles for all three types of fluid. A symbolic software named MATHEMATICA 12.0 is used to find the analytical expression and construct the graphical behavior of all profiles that are taken under discussion. The important results in this study depict that the velocity profile tends to increase in the central region of the channel for Newtonian and Pseudo-plastic fluids and decreases for Dilatant fluid while a reverse behavior is observed near the channel walls. A smaller wavelength causes the wavenumber to accelerate and it tends to decelerate for a larger wavelength. The current study will help to understand the use of the complex rheological behavior of biological fluids in engineering and medical science.
Highlights
Peristalsis is a natural phenomenon that is often observed in the biological system and aids in the movement of various physiological fluids
The findings reveal that the rate of wave growth is accelerated by heat and mass transfer, especially at low wavenumbers
This article is based on the comprehensive study of peristaltic flow by considering a non-Newtonian
Summary
Peristalsis is a natural phenomenon that is often observed in the biological system and aids in the movement of various physiological fluids. The impacts of the combination of both viscosity and thermal conductivity variation for a Casson fluid model in a non-Darcy porous medium were studied by Gbadeyan et al.[23] The analysis was based on the slip and convective boundary conditions for a vertical fluid flow They declared that with rising levels of variable liquid properties, the velocity profile increases while the heat transfer and volume fraction for nanoparticles tend to drop. Tamizharasi et al.[32] studied the impact of heat and mass transfer on the peristaltic flow of a non-Newtonian fluid model through a channel having a magnetic effect They simplified the governing equations under the use of lubrication theory.
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