Liquid metal flow in a backward elbow in

This study investigates the behavior of liquid-metal flow through a backward elbow connecting two constant-area rectangular ducts under the influence of a strong magnetic field. The objective is to understand the flow dynamics and the arrangement of velocities in this unique configuration, particularly how the flow interacts with the imposed magnetic field. The methodology involves analyzing the flow under conditions where inertial effects are minimized, and viscous effects are restricted to boundary layers and an interior layer that follows the magnetic field lines at the elbow's inside corner. Significant findings reveal that the interior layer can accommodate a substantial portion of the flow, carrying approximately half of it between the upstream and downstream ducts. The study illustrates the relevance of this flow configuration in the context of magnetic-confinement fusion reactor designs, highlighting its engineering implications for liquid-metal coolant systems as the interaction between magnetic fields and conductive fluids is crucial for optimal performance. This research contributes to a deeper understanding of magnetohydrodynamic flows and their practical applications in engineering contexts.