In this paper, the electro-thermo convection (ETC) of a perfectly insulted liquid induced by two energized and heated circular cylinders in a cold square cavity is numerically discussed. The abundant flow motion phenomenen are comprehensive results of the buoyancy force and Coulomb force. A newly developed unified lattice Boltzmann (LB) model for flow field, electric potential, charge density and temperature field is applied to direct numerical simulations. Influences of Rayleigh number $Ra$, electric Rayleigh number $R{a}_E$ on heat transfer enhancement are studied under strong charge rejection regime. Based on the numerical results, it is found that the efficiency of heat transfer decreases with the rise of $Ra$, and the contributions made by external electric field for heat transfer enhancement can be ignored when $Ra$ is sufficiently large. While the heat transfer capacity always enhances as the increase of $R{a}_E$, especially when parameter $R{a}_E$ exceeds a critical threshold. Additionally, the effects of geometric parameter δ on heat transfer coefficient are also analyzed.

在本文中，对在一个冷方腔中由两个通电和加热的圆柱体诱导的完全绝缘液体的电热对流（ETC）进行了数值讨论。丰富的流动现象是浮力和库仑力的综合结果。针对流场，电势，电荷密度和温度场的最新开发的统一格子Boltzmann（LB）模型被应用到直接数值模拟中。瑞利数的影响$\mathrm{[R}\mathrm{一种}$，电瑞利数 $\mathrm{[R}{\mathrm{一种}}_{Ë}$在强电荷排斥机制下研究了增强传热的方法。根据数值结果，发现传热效率随着温度的升高而降低。$\mathrm{[R}\mathrm{一种}$，而在以下情况下可以忽略外部电场对增强传热的贡献： $\mathrm{[R}\mathrm{一种}$足够大。随着热量的增加，传热能力总是提高。$\mathrm{[R}{\mathrm{一种}}_{Ë}$，尤其是当参数 $\mathrm{[R}{\mathrm{一种}}_{Ë}$超过临界阈值。此外，还分析了几何参数δ对传热系数的影响。