Novel Aspects of Cilia-Driven Flow of Viscoelastic Fluid through a Non-Darcy Medium under the Influence of an Induced Magnetic Field and Heat Transfer

Muhammad Mubashir Bhatti, Fehid Ishtiaq, Rahmat Ellahi () and Sadiq M. Sait
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Muhammad Mubashir Bhatti: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Fehid Ishtiaq: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Rahmat Ellahi: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Sadiq M. Sait: Department of Computer Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

Mathematics, 2023, vol. 11, issue 10, 1-27

Abstract: The spontaneous movement of natural motile cilia in the form of metachronal waves is responsible for fluid transport. These cilia, in particular, play important roles in locomotion, feeding, liquid pumping, and cell delivery. On the other hand, artificial cilia can be useful in lab-on-a-chip devices for manipulation processes. In this study, a novel model for the ciliated tapered channel in Sutterby fluid flow under the impact of an induced magnetic field and heat transport is proposed. The Darcy–Brinkman–Forchheimer law for porous media with a viscous dissipation function is considered. With the help of lubrication theory, the simplified non-linear form of the leading equation with cilia-oriented boundary conditions is achieved. The analytical results of differential equations are based on the topological perturbation approach. The numerical simulation is performed to elaborate on the physical interpretations of emerging parameters through computer software.

Keywords: magnetic field; heat transport; Sutterby fluid; Darcy–Brinkman–Forchheimer law; ciliated tapered channel; lubrication theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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