Numerical Analysis of Slip Phenomena on Heat and Mass Transfer in a Vertical Channel with immiscible Micropolar and Viscous Fluids with variable viscosity

Abstract This research delves into the intricate dynamics of heat and mass transfer within a vertical channel comprising immiscible micropolar and viscous fluids. The study incorporates the influence of slip phenomena, specifically examining velocity, thermal, and diffusion slips, which significantly impact the overall transport processes. The investigation employs a rigorous numerical approach, employing the Runge-Kutta numerical method to simulate and analyze the complex interactions within the system. The integration of slip effects adds an additional layer of complexity to the analysis, offering insights into how these phenomena influence the overall heat and mass transfer characteristics. The findings of this research enrich our comprehension of fluid dynamics, offering insights for enhancing processes across diverse engineering applications that entail Microscopic-scale fluids and sticky fluids in a vertical channels. Through analysis, dimensionless velocity, angular velocity, thermal energy, and diffusion are scrutinized beyond the pertinent parameters and visually represented to enable meaningful insights. Bar charts also depict important elements of heat and mass transfer, such as shear stress, Nusselt number, and Sherwood number values, making it easier to evaluate the rates of transfer across the channel's surface.