Thermal Computation of Heat Transfer Analysis Considering Nano Shape Factor for Ciliary Induced Electroosmotic Cu‐Blood Transport Containing Micro Organisms in a Nonuniform Wavy Channel

ABSTRACT Problem Statement : The purpose of this work is to investigate the flow and thermal properties of an Eyring‐Powell model as nanofluid that contains suspended copper (Cu) nanoparticles in blood while being subjected to electroosmosis in a vertically oriented ciliated channel. Copper‐rich blood‐like suspensions containing platelet‐shaped, cylindrical, and brick‐shaped particles are utilized to investigate the impact of particle shape factor on concentration, temperature distributions, and pressure rise and streamline contour plots. Methodology : The governing physical problem in the form of system of coupled nonlinear ODEs is tackled numerically using the midpoint Richardson method in computational software MAPLE, which is a second‐order finite difference discretization‐based iterative refinement scheme. The obtained results revealed that High Grashof numbers leading to a rapid increase in concentration, temperature, pressure rise, and pressure gradient for brick, cylinder, and platelet particles. Enhancing Eckert number results in higher concentration, temperature, pressure rise, and pressure gradient for brick, cylinder, and platelet particles. Brick‐shaped particles provided the highest temperature and pressure gradient because of their larger surface area, which allowed more efficient heat conduction between fluid and nanoparticles. Significance and Applications : For a variety of biological and industrial applications, control over the flow of liquid and particle concentrations within nano fluidic systems is vital. The Eyring‐Powell fluid, being non‐Newtonian in nature, exhibits complex viscosity and shear stress behavior, which has a significant impact on overall fluid dynamics. This model holds particular significance in understanding flow behavior inside biological environments. The present study also provides a theoretical basis for designing lab‐on‐chip devices and bio‐inspired micro pumps for diagnostic applications.