Volume 86
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Wang, K., Li, Y., Chang, Z., Qin, M., Fu, G., Yin, B., . . . Tian, J. (2024). Solid particle size characterization by a high-frequency collision response in pneumatic particulate flow. Particuology, 86, 39-54. https://doi.org/10.1016/j.partic.2023.04.008
Solid particle size characterization by a high-frequency collision response in pneumatic particulate flow
Kai Wang a b c *, Yichen Li a b, Ziang Chang a b, Min Qin d, Guangming Fu a b c, Bangtang Yin a b c, Gang Wang a b, Jiaqi Tian a b
a School of Petroleum Engineering, China University of Petroleum (East China), Qingdao, 266580, China
b Key Laboratory of Unconventional Oil & Gas Development, China University of Petroleum (East China), Ministry of Education, Qingdao, 266580, China
c National Engineering Research Center of Oil & Gas Drilling and Completion Technology, Qingdao, 266580, China
d Shock and Vibration of Engineering Materials and Structures Key Lab of Sichuan Province, Southwest University of Science and Technology, Mianyang, 621000, China
10.1016/j.partic.2023.04.008
Volume 86, March 2024, Pages 39-54
Received 24 August 2022, Revised 27 December 2022, Accepted 19 April 2023, Available online 5 May 2023, Version of Record 11 May 2023.
E-mail: wangkai512126@126.com

Highlights

• A triaxial vibration method of particle size distribution (PSD) characterization in gas‒solid flow is proposed.

• A model for the vibration energy variations with particle size and shape is found.

• The best frequency features are found for PSD calculation in multiple directions.

• The particle number and its vibration energy are estimated with good accuracy.


Abstract

A novel triaxial vibration method is developed for the real-time characterization of the solid particle size distribution (PSD) in pneumatic particulate flow, which is critical for chemical industry. In this work, the particle‒wall collision and friction behaviours were analysed by the time-domain statistical and time-frequency joint methods to narrow the high-frequency response range by the initial experiment of free fall for a single particle, interparticle, and multiple particles. Subsequently, verification experiments of PSD characterization in pneumatic flow were performed. First, the quantitative triaxial energy response model that considers the particle size, shape, and mass factors were established. Second, a good agreement of the particle number identification was found between the triaxial vibration energy and mean particle size of 150–550 μm. Moreover, the performance with the best accuracy was focused on a range of 42–43 kHz in the x-axis and z-axis and 36.8–38.8 kHz in the y-axis. Finally, the individual particle energy was inversely analysed by the triaxial vibration response within the optimized frequency bands, and the PSD was characterized in real-time by a low error rate, that is, 5.2% from the XZ-axis direction of sand (42–43 kHz) and 5.6% from the XYZ-axis of glass (30.9–33.9 kHz, 46.2–47.2 kHz, 38.3–41.3 kHz for each axis response). Therefore, this research complements the existing approaches for PSD characterization in particulate multiphase flow.

Graphical abstract
Keywords
Solid particulate flow; Triaxial vibration; High-frequency response; Particle wall; Particle size distribution