On magnetized liquid stream statistics in grooved channel: A finite element visualization

The magnetized flow field statistics of hydrodynamic forces subject to the grooved channel is debated in the present pagination. To be more specific, the grooved channel as a computational domain is considered. The fluid flow is initiated with the parabolic velocity profile at an inlet of the grooved channel. The right wall of the channel is entertained with notable Neumann condition. The velocity of the rest of the walls is taken zero. Both square and circular shaped cylinders are placed fixed in between the grooved channel. The whole design is mathematically controlled in terms of coupled non-linear differential equations. The numerical solution is proposed by utilizing the finite element method commercially. The LBB-stable finite pair is used for the approximation of primitive variables namely, the velocity and pressure. The obtained outcomes are offered through both the line graphs and contour plots. The drag and lift forces are evaluated by carrying line integration around the outer surface of square and circular shaped obstacles. It is noticed that in the grooved channel the obstacles experience an extreme maximum drag force. Further, the drag force is found to be an increasing function of the Hartmann number. •Magnetized liquid stream in the grooved channel is debated.•Square and circular shaped cylinders are taken as an obstacle.•Finite element analysis is performed by owing hybrid meshing.•Comparative benchmarking is debated for drag and lift coefficients.