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Direct numerical simulations of magnetic field effects on turbulent flow in a square duct

机译:磁场对方管内湍流影响的直接数值模拟

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Magnetic fields are crucial in controlling flows in various physical processes of industrial significance. One such process is the continuous casting of steel, where different magnetic field configurations are used to control the turbulent flow of steel in the mold in order to minimize defects in the cast steel. The present study has been undertaken to understand the effects of a magnetic field on mean velocities and turbulence parameters in turbulent molten metal flow through a square duct. The coupled Navier-Stokes magnetohydrodynamic equations have been solved using a three-dimensional fractional-step numerical procedure. The Reynolds number was kept low in order to resolve all the scales in the flow without using a subgrid scale turbulence model. Computations were performed with three different grid resolutions, the finest grid having 8.4×10~6 cells. Because liquid metals have low magnetic Reynolds number, the induced magnetic field has been considered negligible and the electric potential method for magnetic field-flow coupling has been implemented. After validation of the computer code, computations of turbulent flow in a square duct with different Hartmann numbers were performed until complete laminarization of the flow. The time-dependent and time-averaged nature of the flow has been examined through distribution of mean velocities, turbulent fluctuations, vorticity, and turbulent kinetic energy budgets.
机译:磁场对于控制具有重要工业意义的各种物理过程中的流量至关重要。一种这样的工艺是钢的连续铸造,其中使用不同的磁场配置来控制铸型中钢的湍流,以使铸钢中的缺陷最小化。进行本研究是为了了解磁场对通过方管的湍流熔融金属流动的平均速度和湍流参数的影响。耦合的Navier-Stokes磁流体动力学方程已使用三维分数步数值程序求解。雷诺数保持较低,以便在不使用亚网格尺度湍流模型的情况下解析流中的所有尺度。用三种不同的网格分辨率进行计算,最好的网格具有8.4×10〜6个单元。因为液态金属的雷诺数低,所以感应磁场被认为可以忽略不计,并且已经实现了用于磁场-流动耦合的电势方法。验证计算机代码后,对具有不同Hartmann数的方管中的湍流进行计算,直到完全分层流动为止。通过平均速度,湍流涨落,涡度和湍流动能预算的分布,研究了流动的时间相关性和时间平均性。

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