Magnetically Induced Flow of Two Immiscible Electrically Conducting Fluids in a Partially Porous Channel

This study examines the magnetohydrodynamic (MHD) flow of an electrically conducting fluid through a porous medium in a vertical channel. The influence of an applied magnetic field on fluid motion is analyzed by accounting for both the electrical conductivity of the fluid and the resistance offered by the porous structure. The governing momentum equation is formulated in conjunction with Maxwell's equations for the electromagnetic field and Darcy's law to represent the porous medium effects. The investigation emphasizes the impact of magnetic field intensity, permeability (porosity), and electrical conductivity on the velocity, temperature, and concentration distributions within the channel. The results indicate that increasing magnetic field strength generates a resistive Lorentz force, which suppresses the fluid velocity and reduces the flow rate. Additionally, the porous medium significantly alters the velocity and thermal profiles. The findings are useful for practical applications such as cooling technologies, nuclear reactor design, and industrial transport processes involving porous materials.