Electrostatic tomography (EST) has been widely used in gas–solid two-phase flows to measure particle velocity in many industrial processes. However, EST is a passive measurement technique, and this results in rare independent measurements compared with other tomographic modalities. In this article, an electrostatic direct velocity tomography (EDVT) method is proposed to increase the number of independent measurements and to improve the accuracy of velocity estimation. For a two-plane electrostatic sensor, the cross-correlation (CC) velocities between the electrodes from the two planes at different circumferential positions can represent the particle velocities in different regions. First, the CC velocities between the electrodes on different planes are calculated and used as new measurements. In this way, the number of independent measurements of a 16-electrode EST sensor can be easily increased from 16 to 120. Second, by analyzing the relationship between the CC velocities and the particle charge and particle velocity distribution, a CC sensitivity matrix is established. Finally, a tomographic model to represent the velocity distribution of charged particles can be established based on the new measurements and the CC sensitivity matrix. Simulation and experimental results show that the velocity distribution reconstructed by EDVT can represent the particle velocity distribution in the pipeline and is promising to provide a method to study the mechanism of gas–solid two-phase flows.

中文翻译：

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基于互相关灵敏度的静电直接速度断层扫描

静电断层扫描 (EST) 已广泛用于气固两相流，以测量许多工业过程中的颗粒速度。然而，EST 是一种被动测量技术，与其他断层扫描方式相比，这导致了罕见的独立测量。在本文中，提出了一种静电直接速度断层扫描（EDVT）方法，以增加独立测量的数量并提高速度估计的准确性。对于双平面静电传感器，来自不同圆周位置的两个平面的电极之间的互相关（CC）速度可以表示不同区域的粒子速度。首先，计算不同平面上电极之间的 CC 速度并将其用作新的测量值。这样，16电极EST传感器的独立测量次数可以很容易地从16次增加到120次。 其次，通过分析CC速度与粒子电荷和粒子速度分布之间的关系，建立CC灵敏度矩阵。最后，基于新的测量结果和 CC 灵敏度矩阵，可以建立代表带电粒子速度分布的断层扫描模型。仿真和实验结果表明，EDVT 重建的速度分布可以代表管道中的颗粒速度分布，有望为气固两相流机理研究提供一种方法。通过分析CC速度与粒子电荷和粒子速度分布之间的关系，建立CC灵敏度矩阵。最后，基于新的测量结果和 CC 灵敏度矩阵，可以建立代表带电粒子速度分布的断层扫描模型。仿真和实验结果表明，EDVT 重建的速度分布可以代表管道中的颗粒速度分布，有望为气固两相流机理研究提供一种方法。通过分析CC速度与粒子电荷和粒子速度分布之间的关系，建立CC灵敏度矩阵。最后，基于新的测量结果和 CC 灵敏度矩阵，可以建立代表带电粒子速度分布的断层扫描模型。仿真和实验结果表明，EDVT 重建的速度分布可以代表管道中的颗粒速度分布，有望为气固两相流机理研究提供一种方法。