Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume -, Issue -, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217979223501874
Keywords
Implicit finite difference method (IFDM); metachronal complex waves; porous medium; Carreau model; MATLAB (2021a)
Funding
- Prince Sultan University for their support through the TAS research lab
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This study investigates the pumping performance of mucus flow induced by active cilia in a curved channel. The flow problem is modeled using implicit finite difference method, and the effects of mucus velocity, pressure gradient, and other parameters on the flow characteristics are analyzed.
Mother nature utilizes an assembly of beating cilia to transport liquid in various circumstances. The arrays of these hair-like cellular appendages also aid in propelling microorganisms like spermatozoa and paramecium. In our implicit finite difference analysis, we present a pumping performance of a curved channel comprising mucus flow induced via active cilium. The non-Newtonian mucus is modelled as Carreau fluid model. The undulating cilia attached with curved walls are assumed to be complex wavy. The tips of these cilia form a complex wavy peristaltic curved passage with porous medium effects. Well-known continuity and momentum equations (in curvilinear coordinates) are utilized to model the flow problem. Cilia-driven flow is creeping which is based on low Reynolds number assumption. Moreover, long wavelength assumption is also employed in this analysis. The reduced fourth-order BVP is solved via implicit finite difference method (IFDM). The computed results are plotted by using MATLAB (2021a). The mucus velocity is plotted at three different cross-sections and flow rates. Moreover, velocity of mucus, pressure gradient, pressure rise, and level curves are also expounded for various rheological, porous and cilia-based parameters. A special case of straight passage is also presented in the graphical result section.
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