Flow electrification constitutes a significant hazard to operational safety in industry and for this reason it has been studied in detail over the years. It is generally accepted that the impact of turbulence on the electrification of liquids is of paramount importance. More specifically, at sufficiently high Reynolds numbers and for low-conductivity liquids such as hydrocarbons, the thickness of the hydrodynamic boundary layer can become comparable to that of the electrical double layer. This can lead to increased charge diffusion towards the bulk of the flow and, subsequently, flow electrification. However, quantitative information of the underpinning mechanisms of this phenomenon is still lacking. In this paper we present a computational framework for the study of electrification of liquid flows via numerical simulations. In the first part of the paper, we present the governing equations and describe the proposed algorithm and its implementation in pafiX, which is a computational tool for the simulation of fluid flows related to explosion protection. In the second part, we present results from numerical tests that we performed in order to access the efficiency of the proposed computational framework.

流动电气化对工业操作安全构成重大危害，因此多年来对其进行了详细研究。人们普遍认为，湍流对液体带电的影响至关重要。更具体地说，在足够高的雷诺数和低电导率液体（如碳氢化合物）下，流体动力边界层的厚度可以与双电层的厚度相媲美。这会导致朝向大部分流动的电荷扩散增加，随后流动带电。然而，这种现象的基础机制的定量信息仍然缺乏。在本文中，我们提出了一个通过数值模拟研究液体流动带电的计算框架。在论文的第一部分，我们介绍了控制方程并描述了所提出的算法及其在 pafiX 中的实现，pafiX 是一种用于模拟与防爆相关的流体流动的计算工具。在第二部分中，我们展示了我们执行的数值测试的结果，以访问所提出的计算框架的效率。