Exploring heat mass transmission on immiscible fluid flow due to vertical channel with independent multiple slip effects: Computational work

This research performs a numerical analysis of heat and mass transfer in immiscible fluid flows in a vertical channel, considering independent slip effects on both walls. The consequences of independent slip have been incorporated in boundary conditions and also elaborated. The resultant nonlinear system of equations is converted into a dimensionless form of differential equations first by utilizing the appropriate dimensionless variables and then renovated nonlinear ordinary differential equations are numerically resolved using RK 6th order with Mathematica package. The physical effects to evaluate the impact of various slip parameters on velocity profiles, temperature distribution, diffusion and heat and mass transfer rates. The role of various substantial variables with modeled equations has been graphically explained with related physical results. The significant contribution to knowledge in the present study reveals that slip conditions significantly influence flow patterns, highlighting important observations, including higher temperatures at the left wall when the slip is adjacent to a viscous fluid and lower temperatures at both walls with increased velocity slip. Furthermore, an increase in thermal slip results in reduced temperatures at the left wall and elevated temperatures at the right wall, along with decreased diffusion near the micropolar fluid. The findings highlight the importance of slip effects in enhancing convective heat transfer.