Investigation of Jeffrey fluid flow behavior in microchannels with slip under combined alternating current electromagnetic electroosmotic and pressure-driven conditions

In this study, we investigate the combined alternating current electromagnetic electroosmotic and pressure-driven (EM-EO-PD) flow behavior of Jeffrey fluid in parallel plate microchannels, while considering slip boundary conditions. Analytical solutions for the velocity and volumetric flow rate of Jeffrey fluid are obtained using the method of separation of variables. The influences of various parameters on these solutions are thoroughly examined and analyzed in detail. Specifically, the velocity profiles of Jeffrey fluid under diverse flows conditions and those of different fluids in EM-EO-PD flow are compared separately, taking into account varying Reynolds numbers and slip lengths . The impacts of parameters such as slip length , relaxation time and retardation time on the volumetric flow rate are evaluated across various conditions. The results reveal that compared to other flows, the velocity profiles of Jeffrey fluid in pressure-driven (PD), electromagnetic (EM), along with electromagnetic and pressure-driven (EM-PD) flows show less sensitivity to variations in Reynolds number and slip length. For any given Reynolds number and slip length, the velocity amplitude of Maxwell fluid in the EM-EO-PD flow surpasses that of Jeffrey and Newtonian fluids. Elevated slip lengths and relaxation times , paired with reduced retardation times , yield higher volumetric flow rates, independent of other parameters. Significantly, the effect of slip length on volumetric flow rate is primarily constrained by the magnitude of the electrokinetic width . As the electrokinetic width grows, the impact of slip length on volumetric flow rate gradually intensifies. More intriguingly, with larger Reynolds numbers and Hartmann numbers , as well as smaller slip lengths and electrokinetic width , the effects of relaxation time and retardation time on volumetric flow rate are substantially attenuated. The resemblance between Jeffrey fluid and blood underscores the importance of this work in comprehending blood flow within microfluidic systems.