Stratified Hydromagnetic Gas-Liquid Flow in a Wavy Channel

This research theoretically explores the behavior of a twophase flow within a channel, particularly focusing on the interaction between stratified gas and liquid flow when a magnetic field is present. The study excludes consideration of mixing between the phases. The governing equations for this two-phase flow system contain momentum equation, continuity equation for both phases (accounting for compressibility effects in the gas phase), and magnetic effects. Peristaltic motion is simulated using appropriate boundary conditions reflecting the rhythmic contractions and expansions of the channel walls, influencing the flow dynamics of the two phases. To analyze how key parameters such as flow rates, channel geometry, and magnetic field strength affect flow characteristics, a perturbation approach is employed. The study examines the formation of wave patterns and variations in flow velocities resulting from the complex interactions between phases and the magnetic field, presenting graphical data to illustrate these phenomena. The Reynolds number and magnetic parameter are observed to slow down the flow rate as well as velocity of both regions. The compressibility parameter and Knudsen number decreases the velocity of fluid flow in both regions. By increasing the viscosity ratio, the velocity of the fluid slowdowns. The findings will contribute to understand the complex interplay between peristaltic motion and hydromagnetic forces in two-phase flows, with potential implications for diverse fields such as industrial processes and biomedical engineering.