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Numerical simulation of the Rayleigh-Benard convection under the influence of magnetic fields

机译：磁场作用下瑞利-贝纳德对流的数值模拟

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Highlights•By applying the external magnetic fields with different directions and strengths, their influences on the Rayleigh-Benard flows of liquid metal are investigated numerically. It is verified that the magnetic field will significantly increase the criticalRacr, beyond which the convective heat transfer is triggered.•The influence of the magnetic fields, which are applied with different directions and different strengths, are numerically investigated on the Rayleigh-Benard flows of liquid metal. It is numerically verified that the magnetic field will significantly increase the criticalRacr, beyond which the convective heat transfer is triggered.•Regarding the influence of the horizontal magnetic field,Nuis always increased withHa. As the magnetic strength is intensified, the flows transit from 3D to 2D gradually, and subsequently, the number of the 2D vortex cells is increased as the magnetic field is stronger.AbstractThrough performing numerical simulations, the three-dimensional thermally driven flows, namely the Rayleigh-Benard convection (RBC hereafter) flows, have been studied under the influence of magnetic field in the confined rectangular enclosure full of liquid metal. To validate our numerical methodologies, some of our numerical solutions are compared with the available experimental results that good agreements are found between them. Besides, the correlations between the Nusselt number (Nuhereafter) and the Rayleigh number (Rahereafter) are also in accordance with the experimental results, whereas the Hartmann number (Hahereafter) keeps constant. Nevertheless, in the present study, a new correlation law betweenNuand variedHais established whenRais fixed, this formula is more helpful when particularly considering the influence of the magnetic field. Regarding the horizontal magnetic field, it is found that the evolution ofNuversus magnetic intensity can be divided into three stages: whenHais small,Nuincreases withHabecause the three-dimensional RBC flow transits to transient-two dimensional pattern; whenHais moderate,Nuincreases withHabecause the transient-two dimensional flow is more stable that the dynamic motion of vortex cells is disappeared gradually; whenHacontinues to increase,Nustill increases withHadue to the growth in number of the convective cells. It should be noted that such transient process of the flow field can be hardly observed in the experiments, because the liquid metal is opaque, however, we are able to present the evolutions of the temperature fields as well as the flow structures with the help of numerical techniques.
机译： 突出显示 • 通过施加具有不同方向和强度的外部磁场，数值研究了它们对液态金属的Rayleigh-Benard流的影响。验证磁场将显着增加临界 Ra cr ，超过此阈值将触发对流传热。 • Ra cr ，超过此温度对流传热 • 关于水平磁场的影响， Nu 总是随着 Ha 而增加。随着磁场强度的增强，气流从3D逐渐过渡到2D，随后，随着磁场的增强，2D涡流单元的数量增加。 < / ce：list> 摘要 在进行数值模拟时，在充满液态金属的密闭矩形外壳中，在磁场的影响下，研究了三维热驱动流，即瑞利-贝纳德对流（以下简称RBC）流。为了验证我们的数值方法，我们将一些数值解决方案与可用的实验结果进行了比较，发现它们之间存在很好的一致性。此外，Nusselt数（以下称为 Nu ）与瑞利数（以下称为 Ra ）之间的相关性也与实验结果一致，而Hartmann数（以下称为 Ha ）保持恒定。尽管如此，在本研究中，当 Ra Nu 与变化的 Ha 之间的新的相关律。 ：italic>是固定的，当特别考虑磁场的影响时，此公式更有用。关于水平磁场，发现 Nu 相对于磁场强度的演变可以分为三个阶段：当 Ha 小时， Nu 随 Ha 增加，因为三维RBC流转换为瞬态二维模式；当 Ha 适中时， Ha 增加 Ha ，因为瞬态二维流为漩涡细胞的动态运动逐渐消失，更加稳定；当 Ha 继续增加时，由于数量的增长， Ha 仍随着 Ha 而增加对流细胞。应该注意的是，由于液态金属是不透明的，因此在实验中几乎看不到流场的这种瞬态过程，但是，我们能够借助温度场来描述温度场和流场的演变。数值技术。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2018年第5期|1118-1131|共14页
  • 作者

    Xing-Xing Yu; Jie Zhang; Ming-Jiu Ni;

  • 作者单位

    School of Engineering Science, University of Chinese Academy of Sciences;

    State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University;

    School of Engineering Science, University of Chinese Academy of Sciences,State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi’an Jiaotong University;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Magnetohydrodynamics; Rayleigh-Benard convection; Heat transfer;

    机译：磁流体动力学;瑞利-贝纳德对流;传热;

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