Electro-osmotic impact of Williamson fluid flow induced by cilia curved walls

Abstract

This paper delves into the dynamics of fluid motion powered by cilia within a curved channel. The study includes a detailed examination of chemical reactions occurring in the presence of electro-osmotic impact, with a particular emphasis on the Williamson fluid model as it experiences peristaltic motion within the curved channel. To capture the electro-osmotic phenomena, the Nernst-Planck and Poisson equations are employed. Coordinated transformations are utilized to shift these equations from a fixed reference framework to a moving one. For a comprehensive analytical solution to the electric potential function, lubrication theory and the Debye-Huckel approximation are harnessed. MATLAB is employed as a powerful tool for graphical analysis, providing clear visual insights into the behavior of various flow characteristics. The findings are vividly presented, offering a visual representation of the impact of these flow characteristics. This model not only provides an insightful framework for understanding electro-osmotic driven peristaltic flow in curved channels but is also adapted to accommodate non-Newtonian fluid models, allowing for three-dimensional simulations to enhance clarity. Furthermore, it exhibits the potential to be applied in the development of micro-vascular chips, which could play a crucial role in diagnosing blood-related issues. This versatile model finds applications in physiological transport phenomena, particularly in scenarios involving curved flow regimes. Notably, it is observed that the electro-osmotic velocity corresponds to an amplification in the pressure gradient, while chemical reactions contribute to an enhancement in the concentration profile.