Thermo‐Solutal Dynamics of Electroactive Casson Nanofluid Flow through an Uneven Asymmetric Conduit for Advanced Microfluidic Applications

Abstract

Electroosmotic peristaltic transport has gained increasing prominence in microfluidic science owing to its role in diverse technologies such as lab‐on‐a‐chip diagnostics, micro‐scale cooling of electronic components, and targeted nutrient delivery in bioreactors. In this work, a comprehensive theoretical model is developed to explore the coupled influence of electrochemical reactions and double‐diffusion in the mixed‐mode motion of a Casson fluid within a porous, geometrically non‐uniform, and asymmetric microchannel. The formulation incorporates radiative heat transfer, internal heat generation, an oblique magnetic field, thermophoretic motion, and Brownian diffusion. Suitable non‐dimensional parameters are introduced to simplify the governing equations, enabling the derivation of an exact analytical solution for the electric potential, while the homotopy perturbation method is applied to determine velocity, temperature, and concentration profiles. Results show that increasing thermal and solutal Grashof numbers reduces the flow near one wall while enhancing it on the opposite side under electroosmotic conditions, with radiation and thermophoresis exerting significant influence on temperature distribution. Additionally, an increase in the electroosmotic velocity parameter from 1 to 2 leads to a 5.79% rise in the skin‐friction coefficient at the left channel wall. This investigation offers a novel integration of electroactive peristaltic propulsion and magnetohydrodynamic effects in a chemically reactive and radiative framework, delivering insights that can inform the development of high‐performance, energy‐efficient microfluidic systems for applications in medical diagnostics, chemical processing at micro‐scales, and thermal management in miniaturized electronic devices.