TECHNICAL MECHANICS
ISSN (Print): 1561-9184, ISSN (Online): 2616-6380

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UDC 622.73

Technical mechanics, 2024, 1, 83 - 92

PARTICLE SIZE DETERMINATION IN GRINDING

DOI: https://doi.org/10.15407/itm2024.01.083

Ternova K. V., Priadko O. V., Muzyka L. V.

Ternova K. V.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine

Priadko O. V.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine

Muzyka L. V.
Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine

      Mathematical approaches to particle size determination in closed grinding cycles are considered. The features of average particle size calculation for different fractions with account for the grinding kinetics are shown. Particle size calculation algorithms for the entire fraction range are proposed. Particular attention is paid to output determination for fractions of arbitrarily small particles. A particle size determination method based on a lognormal distribution function is shown. In choosing the mathematical approach, the process requirements are taken into account.
      The basis of in-flow noncontact particle size control is the acoustic monitoring of the process and the established relationships between the particle size and the acoustic characteristics. The signal amplitude during material transportation in the energy carrier flow and jet grinding was found as a function of the particle size and grinding conditions. In order to determine the fractional composition of a mixture, the frequency characteristics of acoustic signals and their variation during the transportation of narrow fractions and mixtures were considered. The analysis of the amplitude-frequency characteristics of acoustic signals during the compressed-air transportation of narrow fractions in the jet mill channels confirmed the presence of signals with frequencies characteristic for each fraction. These frequencies were experimentally related to the particle size of a fraction in a mixture. These studies form a basis for a noncontact method of determining the particle size distribution of a material in an air flow, in particular in jet grinding. The results may be used for engineering and technological calculations in mineral dressing and the development of process equipment for the chemical industry, construction, mining, and metallurgy.
     

distribution law, size grade, acoustic signal, frequency, dispersion

1. Kupin A. I. Intelligent Identification and Control in Dressing Processes. Kryvyi Rig: KTU, 2008. 204 pp. (in Ukrainian).

2. Hasan M., Palaniandy S., Hilden M. , Powell M. Simulating product size distribution of an industrial scale VertiMill using a time-based population balance model. Minerals Engineering. 2018. V. 127. Pp. 312-317. https://doi.org/10.1016/j.mineng.2017.11.007

3. Rocha D., Spiller E., Taylor P., Miller H. Predicting the product particle size distribution from a laboratory vertical stirred mill. Minerals Engineering. 2018. V. 129. Pp. 85-92. https://doi.org/10.1016/j.mineng.2018.09.016

4. Dotto F. R. L., Aguiar P. R., Alexandre F. A. et al. Acoustic image-based damage identification of oxide aluminum grinding wheel during the dressing operation. Procedia CIRP. 2019. V. 79. Pp. 298-302. https://doi.org/10.1016/j.procir.2019.02.070

5. Thurley M., Andersson T. An industrial 3d vision system for size measurement of iron ore green pellets using morphological image segmentation. Minerals Engineering. 2007. V. 21. No. 5. Pp. 405-415. https://doi.org/10.1016/j.mineng.2007.10.020

6. Zhiyong Gao Fan Ruiying, Ralston John, Sun Wei, Hu Yuehua. Surface broken bonds: An efficient way to assess the surface behaviour of fluorite. Minerals Engineering. 2019. V. 130. Ðp. 15-23. https://doi.org/10.1016/j.mineng.2018.09.024

7. Campbell A., Thurley M. Application of laser scanning to measure fragmentation in underground mines. Mining Technology. 2017. V. 126. No. 4. Pp. 240-247. https://doi.org/10.1080/14749009.2017.1296668

8. Pryadko N. S., Ternova K.V. Acoustic Monitoring of Jet Grinding. Kyiv : Akademperiodyka, 2020. 192 pp. (in Ukrainian). https://doi.org/10.15407/akademperiodyka.409.192

9. Pryadko N. S. Determination on the control characteristics of mineral processing technology indicators: an update. In: Advances and Challenges in Science and Technology. Vol. 6. 9 October 2023. Pp. 1-15. https://doi.org/10.9734/bpi/acst/v6/11147F

10. Próadko N., Mladetsky I., Dziuba S., Ternova K.V. Investigation of the control characteristics of mineral processing technology indicators. IOP Conference Series: Earth and Environmental Science. V. 970. No. 1. 012001. 9 pp. https://doi.org/10.1088/1755-1315/970/1/012001

11. Ternova K. V. Analysis of signal frequencies in bulk material transportation and grinding in flow. Mineral Dressing. 2016. No. 63 (104). Pp. 59 - 65. (in Russian).

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