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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >NUMERICAL SIMULATION OF A VERTICAL THERMOSYPHONIC LOOP PLACED IN A TRANSVERSE MAGNETIC FIELD
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NUMERICAL SIMULATION OF A VERTICAL THERMOSYPHONIC LOOP PLACED IN A TRANSVERSE MAGNETIC FIELD

机译：横向磁场中垂直热磁环的数值模拟

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摘要

The hydrodynamic characteristics of a buoyancy-driven convection loop containing an electrically conducting fluid in a transverse magnetic field are investigated numerically using a two-dimensional spectral element numerical model. The lower portion of the loop is heated and the upper portion is cooled, both isothermally, while the middle portion is insulated. The study covers the range of Grashof number, Gr, from 10(3) to 10(5), Hartmann number, Ha, from 0 to 20, loop height-to-thickness ratio, L/D, from 5 to 20, and at Prandtl numbers Pr = 0.02 and Pr = 1. Results are presented for the velocity, temperature profiles, and heat transfer in terms of Hartmann number. Comparison is made with the analytical solutions of Ghaddar [1, 2], based on a parallel flow approximation. the numerical analysis compares wed with the closed-form analytical solutions of the magnetohydrodynamic generator for the flow velocity and the induced current. The study also confirmed the existence of an optimal Hartmann number at which the induced electric current is maximized for all ranges of Prandtl numbers. The optimal Hartmann number found numerically for Pr = 0.02 is similar to the one predicted by the analytical 1-D model of Ghaddar [1, 2]. [References: 15]
机译：使用二维频谱元素数值模型，对在横向磁场中包含导电流体的浮力驱动对流回路的水动力特性进行了数值研究。回路的下部被加热，上部被等温冷却，而中间部分则被绝缘。该研究涵盖了Grashof数Gr的范围（从10（3）到10（5）），Hartmann数Ha的范围（从0到20），环圈高厚比L / D（从5到20）以及在Prandtl数Pr = 0.02和Pr = 1时，以哈特曼数表示速度，温度分布和传热的结果。基于并行流近似，与Ghaddar [1，2]的解析解进行了比较。数值分析将星期三与磁流体动力发生器的封闭形式解析解进行比较，以求出流速和感应电流。该研究还证实了存在最佳的哈特曼数，在该数下所有普朗特数范围的感应电流都最大。在数值上发现的Pr = 0.02的最佳Hartmann数类似于由Ghaddar的解析一维模型预测的数字[1，2]。 [参考：15]

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