Numerical analysis of liquid metal MHD flows through circular pipes based on a fully developed modeling

作者：Zhang Xiujie^*; Pan Chuanjie; Xu Zengyu

来源：Fusion Engineering and Design, 2013, 88(4): 226-232.

DOI：10.1016/j.fusengdes.2013.02.032

• MHD flow
• Circular pipe
• Numerical simulation
• Velocity profile

Magnetohydrodynamics (MHD) laminar flows through circular pipes are studied in this paper by numerical simulation under the conditions of Hartmann numbers from 18 to 10000. The code is developed based on a fully developed modeling and validated by Samad's analytical solution and Chang's asymptotic results. After the code validation, numerical simulation is extended to high Hartmann number for MHD circular pipe flows with conducting walls, and numerical results such as velocity distribution and MHD pressure gradient are obtained. Typical M-type velocity is observed but there is not such a big velocity jet as that of MHD rectangular duct flows even under the conditions of high Hartmann numbers and big wall conductance ratio. The over speed region in Robert layers becomes smaller when Hartmann numbers increase. When Hartmann number is fixed and wall conductance ratios change, the dimension-less velocity is through one point which is in agreement with Samad's results, the locus of maximum value of velocity jet is same and effects of wall conductance ratio only on the maximum value of velocity jet. In case of Robert walls are treated as insulating and Hartmann walls as conducting for circular pipe MHD flows, there is big velocity jet like as MHD rectangular duct flows of Hunt's case 2.

• 出版日期2013-5
• 单位核工业西南物理研究院