Dispersion characteristics of electroosmotic flow of micropolar fluid in a microchannel with homogeneous and inhomogeneous reactions

This study investigates the two-dimensional concentration distribution of electroosmotic flow of non-Newtonian fluid in a rectangular microchannel, considering both homogeneous and inhomogeneous reactions in a porous medium. Analytical solutions for potential distribution, velocity, and microrotation profiles are derived using Debye–Hückel linearization. Mei's homogenization approach is utilized to determine dispersion coefficients and concentration distributions up to the second order and also solved numerically by finite difference method. The research examines how homogeneous reactions within the flow and inhomogeneous reactions at the channel walls influence concentration distribution. Boundary absorption at one or both boundaries is found to decrease solute transport and increase non-uniformity. This work has applications in simulating drug distribution in blood flow, enhancing reaction rates, and improving mixing and separation processes in microfluidic devices. The novelty of the present study lies in its focus on solute dispersion of micropolar fluids under electroosmotic flow, providing an extensive analytical framework that incorporates boundary reactions. This issue has not been examined in detail previously.