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

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 electroosmotic velocity corresponds to an amplification in the pressure gradient, while chemical reactions contribute to an enhancement in the concentration profile.

Automated summary

This paper investigates the dynamics of fluid motion powered by cilia within a curved channel and examines the chemical reactions occurring in the presence of electro-osmotic impact. The findings offer insights into various flow characteristics and present a method for simulating non-Newtonian fluid models in three dimensions. Additionally, the model has potential applications in the development of micro-vascular chips, which could be crucial for diagnosing blood-related issues.