Effects of Viscous Dissipation and Periodic Heat Flux on MHD Free Convection Channel Flow with Heat Generation

This study investigates the influence of periodic heat flux and viscous dissipation on magnetohydrodynamic (MHD) flow through a vertical channel with heat generation. A theoretical approach is employed. The channel is exposed to a perpendicular magnetic field, while one side experiences a periodic heat flow, and the other side undergoes a periodic temperature variation. Numerical solutions for the governing partial differential equations are obtained using a finite difference approach, complemented by an eigenfunction expansion method for analytical solutions. Visualizations and discussions illustrate how different variables affect the flow velocity and temperature fields. This offers comprehensive insights into MHD flow behavior and its interactions with the magnetic field, heat flux, viscous dissipation, and heat generation. The findings hold significance for engineering applications concerning fluid dynamics and heat transfer, offering valuable knowledge in this field. The study concludes that the transient velocity and temperature profiles exhibit periodic patterns under periodic heat flow conditions. A temperature reduction is observed with an increase in the wall temperature phase angle. In contrast, an increase in the heat flux phase angle values raises the temperature values.