Image Analysis and Mathematical Modeling for the Determination of Particle Distributions

Authors

  • Jessica López Martínez Universidad Autónoma de San Luis Potosí
  • Jonatan Andrade Martínez Universidad Autónoma de San Luis Potosí
  • Gabriela Alvarado Macías Universidad Autónoma de San Luis Potosí
  • Erik Espinosa Serrano Universidad Autónoma de San Luis Potosí
  • Dora Patrícia Nava Gómez Universidad Autónoma de San Luis Potosí
  • Gilberto Rosales Marín Universidad Autónoma de San Luis Potosí https://orcid.org/0000-0003-3679-3981

DOI:

https://doi.org/10.36790/epistemus.v18i35.289

Keywords:

Particle Size Distribution, Mathematical Modeling, Mineral Processing, Image Analysis

Abstract

Particle distribution is considered one of the main tools for control in the different unit operations related to mineral processing. In the crushing and grinding stages, this technique allows us to know the procedures involved in particle reduction processes as well as to determine the material balances within. In the present work, image analysis techniques, Weibull distribution model, as well as physical properties of a silica mineral that are used to determine a steady-state particle size distribution. For this purpose, the particle size distribution experimentally determined through the use of conventional meshes (Tyler Type) later compared with that obtained by means of frames. The Weibull model was used to mathematically fit the distribution obtained through the frames. The adaptations proved to be an aid that allows determining a reliable granulometric distribution through image analysis due to the fact that the error (SSE) is 1.3.

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References

S. Al-Thyabat and N.J. Miles, An improved estimation of size distribution from particle profile measurements, Journal of Powder Technology, vol.20 (1).pp.72-83, 2006. DOI:https://doi.org/10.1016/j.powtec.2006.05.008 DOI: https://doi.org/10.1016/j.powtec.2006.05.008

S. Al-Thyabat, N.J. Miles and T.S. Koh, Estimation of the size distribution of particles moving on a conveyor belt, Journal of Powder Technology, vol.20, pp.155-160, 2006. DOI:10.1016/j.mineng.2006.05.011 DOI: https://doi.org/10.1016/j.mineng.2006.05.011

Michael Mangold ,Use of a Kalman filter to reconstruct particle size distributions from FBRM measurements, Journal of Chemical Engineering Science, 70, pp.99-108,2011. DOI:https://doi.org/10.1016/j.ces.2011.05.052 DOI: https://doi.org/10.1016/j.ces.2011.05.052

Young-Don Ko and Helen Shang, A neural network-based soft sensor for particle size distribution using image analysis, Journal of Powder Technology, vol.212. pp.303-382, 2011.

DOI:https://doi.org/10.1016/j.powtec.2011.06.013 DOI: https://doi.org/10.1016/j.powtec.2011.06.013

Joanna Wiącek, Marek Molenda. Effect of particle size distribution on micro- and macromechanical response of granular packings under compression, International Journal of Solids and Structures, Volume 51, Issues 25–26, 2014, Pages 4189-4195. DOI:https://doi.org/10.1016/j.ijsolstr.2014.06.029 DOI: https://doi.org/10.1016/j.ijsolstr.2014.06.029

Allen Terence, Particle Size Measurement, Chapman and Hall, New York 1981. DOI:https://doi.org/10.1080/01932698208943652 DOI: https://doi.org/10.1080/01932698208943652

Testing Sieves And Their Uses”, W.S. Tyler lncorporated, Handbook 53, 1982 Edition: Splitring Pg. 12 and 13; Screen Scale Pg. 4 and 5. 4. Proceeding of the Amerizan Society For Testing Materials, Volume XIII, 1913, Pages 1053-106. Proceedings - American Society for Testing Materials : American Society for Testing Materials : Free Download, Borrow, and Streaming : Internet Archive

Lai, Chin-Diew & Murthy, D. & Xie, Min. (2006). Weibull Distributions and Their Applications. Springer Handbook of Engineering Statistics. Chapter 3. 63-78. 10.1007/978-1-84628-288-1_3. DOI: 10.1007/978-1-84628-288-1_3 DOI: https://doi.org/10.1007/978-1-84628-288-1_3

A. J. Jr. Hallinan: A review of the Weibull distribution, J. Qual. Technol. 25, 85–93 (1993) DOI:https://doi.org/10.4271/1999-01-2859 DOI: https://doi.org/10.1080/00224065.1993.11979431

N. L. Johnson, S. Kotz, N. Balakrishnan: Continuous Univariate Distributions, Vol. 1, 2nd edn. (Wiley, New York 1994) DOI:10.1080/00401706.1995.10484392

D. N. P. Murthy, M. Xie, R. Jiang: Weibull Models (Wiley, New York 2003) DOI:10.1080/00401706.1995.10484392 DOI: https://doi.org/10.1080/00401706.1995.10484392

G. Rosales-Marín, J. A. Delgadillo, E. T. Tuzcu and C. A. Pérez-Alonso, (2016) Prediction of a piston–die press product using batch population balance model. Asia-Pac. J. Chem. Eng., 11: 1035– 1050. DOI: 10.1002/apj.2044. DOI: https://doi.org/10.1002/apj.2044

C. Shanthi, R. Kingsley Porpatham, and N. Pappa, “Image analysis for particle size distribution,” Int. J. Eng. Technol., vol. 6, no. 3, pp. 1340–1345, 2014. DOI: (PDF) Image Analysis for Particle Size Distribution (researchgate.net)

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Published

2023-11-03

How to Cite

López Martínez, J., Andrade Martínez, J., Alvarado Macías, G., Espinosa Serrano, E., Nava Gómez, D. P., & Rosales Marín, G. (2023). Image Analysis and Mathematical Modeling for the Determination of Particle Distributions. EPISTEMUS, 18(35). https://doi.org/10.36790/epistemus.v18i35.289

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