Metachronal wave impact in a channel flow of Prandtl fluid model

• Published in: International communications in heat and mass transfer Vol. 155; p. 107464
• Main Authors: Sadaf, Hina, Asghar, Zeeshan, Iftikhar, Naheeda
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.06.2024
• Subjects: Cilia-driven flow; Horizontal channel; Metachronal wave; Non-Newtonian fluid; Numerical solution; Metachronal wave; Horizontal channel; Numerical solution; Non-Newtonian fluid; Cilia-driven flow
• ISSN: 0735-1933; 1879-0178
• DOI: 10.1016/j.icheatmasstransfer.2024.107464

In the modern day science and medics, scholars are focusing on the behavioral study of non-Newtonian fluid and its relevance with ciliated motion in human body. This would offer advanced avenues of research to mitigate the risks of new and contagious diseases relating to various systems in human body. This manuscript focuses on the behaviour of metachronal wave in Prandtl fluid generated by ciliated movement through a horizontal tapering channel once magnetic field is applied to the fluid. The theoretical approach raises mathematical calculations and results obtained presented highly nonlinear system of PDEs. Latterly, ODEs are developed which accrue the accurate results by using scaling group of transformations. Second, approximation of long wavelength and low Reynold's number used to analyze the flow motion caused by metachronal waves. The emerging equations achieved are further solved numerically using the bvp4c method. Results are engendered through graphical attempt of velocity, temperature, pressure gradient, pressure rise and wall shear stress graphs in relation to various factors. It can be inferred that theoretical impact of velocity profile for magnetic parameter decreases near the walls of the ciliated channel while increases in the middle of channel. It concludes that magnetic field opposes the strength of the flow close to the walls. Another observation is the flow of temperature across the subject domain is accelerated by the Brinkman number. Thus, the flow of heat transfer may be increased by the fast metachronal wave and fixed initial temperature. While streamlines are also fabricated to exhibit the flow phenomenon of ciliary motion.