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基于传导机制的三维方腔介电液体电热对流数值模拟研究

NUMERICAL ANALYSIS OF THREE-DIMENSIONAL ELECTRO-THERMO-CONVECTION OF DIELECTRIC LIQUIDS IN A CUBICAL CAVITY BASED ON CONDUCTION MECHANISM

  • 摘要: 浮力驱动的自然对流是一个兼具科学研究以及工业应用价值的基础课题之一, 是许多实际问题的简化模型, 例如建筑物的热舒适性, 太阳能收集器, 电子冷却系统以及大气环流. 在自然对流的诸多性质中, 传热效率往往是人们最关心的性质之一. 当在自然对流系统施加电场后, 会产生一个另外的库仑体积力, 从而显著改变系统的流动特性以及传热效率. 由电场和温度场共同驱动的流动称为电热对流, 根据液体中自由电荷的产生方式不同, 又可以进一步分为传导机制或注入机制电热对流. 本文通过数值研究了三维侧壁加热方腔中的传导机制电热对流问题, 发现在本文考虑的结构中, 电场的施加总是会导致流动速度的降低, 且传导数C0越大流动速度越小. 此外为了揭示电场影响自然对流的机理, 本文首先分析了无量纲物理量的分布. 在没有流动时, 正负电荷分别对称分布在异号电极附近, 此时电荷受到的净库仑力为零. 而在电热对流中, 流动会裹挟电荷运动, 造成电荷分布的不均匀, 产生一个电转矩, 该电转矩的方向与自然对流方向相反, 因此导致了流动强度的降低. 最后本文还研究了系统的传热特性, 电场的施加抑制了自然对流的传热效率, 并且抑制效果随着传导数C0的增大而增强.

     

    Abstract: Natural convection driven by buoyancy is a classical and significant phenomenon with both scientific value and industrial relevance. It serves as a simplified model for numerous practical applications, including thermal comfort in buildings, solar collectors, electronic cooling systems, and atmospheric convection. The presence of an electric field in a natural convection system introduces an additional force, known as the Coulomb force, which can substantially alter the flow patterns and heat transfer performance. In this study, electro-thermo-convection in a 3D differentially heated cubic box is numerically studied. It is found that for the present configuration, the application of an electric field suppresses the velocity distribution across all Rayleigh numbers examined. Weaker flow strength is observed at higher conduction numbers. Furthermore, contour charts of different dimensionless physical quantities are provided, and the mechanism by which the electric field influences natural convection is discussed. In the purely electrical case, positive and negative charges accumulate near electrodes of opposite polarity, resulting in a net Coulomb force of zero. In contrast, in electro-thermo-convection, the flow transports charges, leading to an asymmetric charge distribution. This asymmetry generates an electrical torque that opposes the flow direction, thereby reducing the velocity. Finally, the heat transfer characteristics under electro-thermo-convection are examined. The results demonstrate that the imposition of an electric field suppresses heat transfer, and the Nusselt number decreases with increasing conduction number C0.

     

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