Exploring the Interactions of Electroosmotic Activity of Couple‐Stress Fluid With Ionic Liquid Through a Microfluidic Tapered System Undergoes Thermally Induced Energy Dissipation

ABSTRACT The aim of this study is to comprehensively examine the behavior and properties of a couple‐stress fluid during electroosmosis, heat radiation, and the effects of an inclined magnetic field in a horizontally aligned, tapered microfluidic conduit. To simplify the system, we applied the lubrication approximation and the Debye–Hückel linearization method to convert the Poisson–Boltzmann equations into a linear form. An increased Hartmann number results in a higher fluid velocity because the stronger magnetic field reduces both turbulence and effective viscosity. Additionally, the electroosmosis parameter decreases fluid velocity, which carries significant implications in medical biology. Furthermore, as the Helmholtz–Smoluchowski velocity rises, so does fluid velocity. In physiological settings, the correlation between Helmholtz–Smoluchowski velocity and fluid velocity aids in regulating normal bodily functions. Notice that the porosity parameter enhances fluid temperature. Additionally, thermal radiation declines fluid temperature. Moreover, fluid temperature increases due to Joule heating. Thermal radiation and Joule heating influence heat transfer rates, as shown by fluctuations in the Nusselt number, affecting the accuracy of thermal control in microscale biomedical devices. This study presents a novel investigation into the electroosmotic flow of couple‐stress fluid in a tapered microfluidic system. Significant innovations encompass the identification of the Hartmann number's role in enhancing fluid velocity through the reduction of turbulence and viscosity, with relevant implications for cardiovascular evaluations and medical imaging. The physiological significance of the Helmholtz–Smoluchowski velocity in optimizing fluid flow regulation is considerable. This study uniquely examines the interplay of thermal radiation, Joule heating, and porosity with fluid temperature, which is critical for advancing applications, like, electrosurgery and infrared thermography. The research enhances the understanding of electroosmosis‐based methods, offering new insights into their potential applications in cancer therapy. These significant discoveries provide innovative solutions in diagnostics, drug delivery, and therapeutic systems by integrating fundamental fluid mechanics with advanced biomedical applications.