Numerical analysis on heat and mass transfer of immiscible fluids in a vertical channel with diffusion effects

This research paper explores the intricacies of heat and mass transfer in a vertical channel with immiscible fluids, focusing on the dynamics of two-fluid flows under the influence of variable viscosity, thermal conductivity, and thermal slip. The study further incorporates the effects of an internal heat source, adding complexity to the analysis of transfer processes. Mathematica's ND Solve software implements the Runge-Kutta sixth-order method, ensuring precise numerical simulations. A comprehensive analysis is performed on dimensionless velocity, angular velocity, temperature, and diffusion across relevant parameters. The results are visually represented to derive significant insights, including the impact of heat source intensity on the flow and transfer mechanisms. Bar charts illustrate critical components, such as shear stress, the Sherwood number, and the Nusselt number, enabling a clear comparison of heat and mass transfer rates along the channel wall. These findings contribute valuable knowledge for optimizing heat and mass transfer in various engineering applications.