Numerical simulation of the Rayleigh-Benard convection under the influence of magnetic fields
Numerical simulation of the Rayleigh-Benard convection under the influence of magnetic fields
复制标题
磁场影响下瑞利-贝纳德对流的数值模拟
DOI：
10.1016/j.ijheatmasstransfer.2017.11.151
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发表时间：
2018-05
影响因子：
5.2
通讯作者：
Ming-Jiu Ni
中科院分区：
文献类型：
--
作者：
Xing-Xing Yu;Jie Zhang;Ming-Jiu Ni
通过数值模拟，研究了磁场作用下充满液态金属的封闭矩形腔内三维热驱动流动，即Rayleigh-Benard对流（RBC）流动。为了验证我们的数值方法，我们的一些数值解与现有的实验结果进行了比较，发现它们之间有很好的协议。此外，Nusselt数与Rayleigh数之间的关系也与实验结果相一致，而Hartmann数保持不变。然而，在本研究中，建立了一个新的相关关系式之间的Nu和variedHai时，Ra 1是固定的，这个公式是更有帮助的，特别是考虑到磁场的影响。对于水平磁场，发现Nu随磁场强度的变化可分为三个阶段：当Ha较小时，Nu随Hb增大，使三维RBC流动向二维瞬态流动过渡;当Ha较小时，Nu随Hb增大，使二维瞬态流动趋于稳定，涡胞的动态运动逐渐消失;当Hc继续增加时，Nus仍随对流单体数目的增加而增加。由于液态金属是不透明的，在实验中很难观察到这种流场的瞬态过程，但借助数值计算技术，我们可以得到温度场和流动结构的演变过程。
Through 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.
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影响因子：
2.7
作者：
E. Güray;H. Tarman
通讯作者：
E. Güray;H. Tarman
DOI：
10.1016/j.jcp.2013.08.004
发表时间：
2014
期刊：
J. Comput. Phys.
影响因子：
--
作者：
J. Zhang;M. Ni
通讯作者：
J. Zhang;M. Ni
影响因子：
56.9
作者：
Donald M. Hassler;I. Dammasch;P. Lemaire;Pål Brekke;W. Curdt;Helen E. Mason;Jean-Claude Vial
通讯作者：
Donald M. Hassler;I. Dammasch;P. Lemaire;Pål Brekke;W. Curdt;Helen E. Mason;Jean-Claude Vial
影响因子：
1.8
作者：
A. Chiffaudel;S. Fauve;B. Perrin
通讯作者：
A. Chiffaudel;S. Fauve;B. Perrin
DOI：
10.1063/1.2815085
发表时间：
1982-04
期刊：
--
影响因子：
--
作者：
R. Peyret;T. Taylor
通讯作者：
R. Peyret;T. Taylor