We report on a numerical study of axisymmetric flow of liquid metal in a circular duct with rectangular cross-section. The flow is forced through the combination of an axial magnetic field and a radial current. Sweeping a wide range of forcing parameters, we identify the different regimes which characterize the flows and explicit the associate scaling laws. Results from different studies in the literature are interpreted in the light of our numerical simulations.

中文翻译：

---

轴对称磁流体动力管道流动的比例定律

我们报告了在具有矩形横截面的圆形管道中液态金属轴对称流动的数值研究。流被强制通过轴向磁场和径向电流的组合。涵盖了广泛的强迫参数，我们确定了表征流量的不同机制，并明确了相关的比例定律。根据我们的数值模拟对文献中不同研究的结果进行解释。