Mixed convective flow of Newtonian fluid in corrugated channel with magnetic field effects

This paper investigates the effects of magnetic fields and undulation number on the velocity and temperature profiles of a viscous fluid in a sinusoidal-corrugated channel. The continuity equation, momentum equation, and energy equation will be transformed into their weak formulation and will be solved numerically with the help of the automated solution technique FEniCS. The velocity and temperature profiles will be plotted and discussed. It is observed that increasing the undulation number leads to a boost in the velocity and the temperature profiles. Additionally, it is found out that there is a decrease in the velocity profile with the amplification of the magnetic field. However, the amplification of the magnetic field shows no significant impact to the temperature profile.