矩形管道中液态金属MHD流动数值模拟研究

Numerical analysis of liquid metal MHD flows in rectangular duct

基于感应电磁场方程发展了低磁雷诺数条件下充分发展液态金属管道流的数值模拟程序。为了校正程序,分别计算了两种工况:液态金属在全绝缘管道和部分绝缘管道中的流动,数值结果与Hunt和Shercliff的解析解吻合的很好,表明该程序具有很高的精度。最后利用发展的程序对液态金属钠钾合金在管壁材料为304不锈钢的全导电管道中的流动进行了数值模拟,并对流速分布和MHD压降结果与实验结果进行了比较,结果表明数值与实验结果吻合较好。

A code has been developed for analyzing MHD duct flows under low magnetic Reynolds number condition based on induced magnetic field formulation. For benchmark of this code, two different cases were simulated, they were electric conductive fluid in rectangular duct with all insulated walls and Hunt＇s case of conductive walls. Numerical results matched well with Hunt＇s and SherclitTs analytical solutions, it shows very good accuracy of this code. Finally the case of liquid metal Na-K alloy flowed in rectangular duct with all conductive walls made of 304 stainless steel was simulated utilizing this code, numerical results of velocity profile in the cross section of the duct and MHD pressure drop were compared with our experimental results, the comparison shows they were in good agreement with each other.