In this work, we study the effect on the electric potential difference (EPD) of a liquid metal (LM) flow confined in a cuboid vessel. The interaction between a magnetic field (MF) and an electric current density ($j_0$) along the ascending axial direction generates a Lorentz force that stirs the LM producing an MHD flow. The MF is produced by either a single or a pair of NdFeB dipolar permanent magnets. $j_0$ is in the range of 384 to 1153 A m^-2. Experimental characterization is done by measuring velocity components using the ultrasound Doppler velocimetry (UDV) technique and measurements of the EPD in terminals of the vessel. Additionally, an MHD model is solved using the COMSOL Multiphysics software. A good agreement between measurements and simulations for the magnetic and velocity fields is obtained. Furthermore, an order of magnitude analysis for the characteristic velocity of the flow and EPD is presented. Comparing with a configuration without magnets, the EPD when one magnet is used reaches 16.8$\text{\%}$ higher values. In contrast, for a pair of magnets values are 22.9$\text{\%}$ smaller. This increasing/decreasing behavior for the EPD with the flow patterns could be of interest to applications such as liquid metal batteries.

在这项工作中，我们研究了限制在长方体容器中的液态金属（LM）流动对电势差（EPD）的影响。磁场（MF）与电流密度（${Ĵ}_0$）沿轴向上升会产生洛伦兹力，该力会搅动LM从而产生MHD流。MF由单个或一对NdFeB偶极永磁体产生。${Ĵ}_0$在384至1153 A m ^-2的范围内。通过使用超声多普勒测速（UDV）技术测量速度分量并测量血管末端的EPD来进行实验表征。此外，使用COMSOL Multiphysics软件可以求解MHD模型。在磁场和速度场的测量和模拟之间获得了良好的一致性。此外，给出了流动和EPD的特征速度的数量级分析。与没有磁铁的配置相比，使用一块磁铁时的EPD达到16.8$\text{％}$更高的价值。相反，对于一对磁体，其值为22.9$\text{％}$较小。具有流动模式的EPD的这种增加/减少行为可能是液态金属电池之类的应用所感兴趣的。