Numerical analysis of slip phenomena on heat and mass transfer in a vertical channel with immiscible fluids with variable viscosity and thermal conductivity

This study explores the dynamics of heat and mass transfer in a vertical channel using immiscible micropolar and viscous fluids with variable viscosity and thermal conductivity, while also examining the effects of multiple slip phenomena. Mathematica ND solve software uses the Runge-Kutta 6th order method to solve and analyze the system of equations. Using graphical representations, the study explores dimensionless velocity, angular velocity, temperature, and diffusion under various parameters. Bar charts illustrate key elements of heat and mass transfer, including shear stress, Nusselt number, and Sherwood number values, making it easier to evaluate transfer rates across the channel’s surface. The findings of the present study reports that higher thermal and molecular Grashof numbers effect the fluid velocity, while magnetic fields, thermal conductivity, and slip parameters tend to attenuate the velocity profile, emphasizing the role of diverse factors in shaping fluid dynamics. Also this study is contributing to a comprehensive understanding of heat transfer characteristics in different fluid flow scenarios.