This research paper aims to investigate the influence of magnetohydrodynamics (MHD), Richardson's number, wave amplitude, and the undulation number of a wavy surface on the velocity and temperature profiles of a viscous fluid within a wavy channel. The weak formulation is applied to the continuity equation, momentum equation, and energy equation. Then, the problem is solved numerically with the help of the automated solution technique FEniCS and plotted using matplotlib. This study revealed that the velocity profiles increase with the increment of Richardson number, wave amplitude, and undulation number of wavy surfaces. However, the velocity profiles decrease as the magnetic parameters increase. The result showed that magnetic parameters and Richardson number give no significant impact to the temperature profile with the exception of wave amplitude and the undulation number, where the temperature profile increases.
Suhardi et al. (Tue,) studied this question.