Entropy Generation, Heat, and Mass Transfer in a Vertical Channel With Immiscible Fluids and Asymmetric Heat Distribution

This study conducts a numerical analysis of entropy generation, heat, and mass transfer in a vertical channel filled with two immiscible fluids, with the plates of the channel kept under asymmetric heat distribution. The system of governing equations for momentum, energy, and diffusion is made non‐dimensional using relevant variables and then solved numerically using Mathematica's ND Solve technique. The momentum, temperature, and diffusion variations are presented in graphical mode using data visualization and smoothing via interpolation in Python for better visibility of the variations. The momentum, heat, and mass transfer rates on both the plates of the channel are also made non‐dimensional. The obtained values are analyzed for different variations of governing parameters, with a multiple regression correlation analysis performed and calculated ( R ‐squared) values to predict the level of dependency. The other important parameter, entropy, is also calculated in the defined domain, and the obtained values are tabulated. The study found that all parameters have a significant impact. In particular, the temperature, entropy generation, and velocity are strongly affected by buoyancy forces and magnetic fields. The Grashof number and molecular Grashof number improve fluid motion and reduce entropy. Both the Reynolds number and the magnetic parameter contribute to an increase in entropy generation. Shear stress analysis reveals two flow layers affected by buoyancy and magnetic damping.