Theoretical analysis of Reiner-Philippoff fluid flow in two layers due to metachronal propulsion: Subject to surrounding temperature

Abstract

Mucociliary clearance plays a crucial role within the respiratory system as an initial protective mechanism against infections. Hence, it is imperative to validate any assumptions made regarding the mucociliary clearance and its impact on its functionality. This study examines flow of two-dimensional Reiner-Philippoff fluid within a ciliated channel, resulting in the separation of the fluid into two immiscible layers due to variations in viscosity. The governing equations are shortened through utilization of the long wavelength and Reynolds number (low) approximation. The impacts of emerging parameters are examined through the utilization of graphical representations. It has been observed that when there are variations in fluid properties, such as density, thermal conductivity, and viscosity between two neighboring zones, concept of a peripheral layer should be employed in order to achieve more accurate and realistic outcomes. The figures indicate that an increase in viscosities, thermal conductivities, and fluid characteristics leads to an elevation in temperature field in both layers. Moreover, the potential future scope of this study holds the promise of making substantial contributions to the comprehension of intricate fluid dynamics and fostering the advancement of novel technologies that can be practically applied across various domains. Additional research into the thermal characteristics of the system may contribute to a deeper comprehension of the complex interplay between temperature fluctuations and the dynamics of Reiner-Philippoff fluids. This has the potential to facilitate the advancement of thermal control mechanisms or the investigation of temperature-responsive materials for the purpose of manipulating fluid flow properties.

Keywords

• Cilia induced flow
• Reiner-Philippoff fluid model
• Heat transfer
• Peripheral layer
• Metachronal wave
• Exact solution