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Prediction of immersion mill performance and energy use via machine learning
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Daniel Westona, b, *, Li Liub, Christopher Windows-Yulea
Particuology | 2026, 115 : 336 - 355
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Particuology | 2026, 115: 336-355
Prediction of immersion mill performance and energy use via machine learning
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Daniel Westona, b, *, Li Liub, Christopher Windows-Yulea
Affiliations
  • aSchool of Chemical Engineering, University of Birmingham, Birmingham, B15 2TT, UK
  • bJohnson Matthey Technology Centre, P.O. Box 1, Belasis Avenue, Billingham, TS23 1LB, UK
Published: 2026-08-10 doi: 10.1016/j.partic.2026.05.023
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This study performs a comparative assessment of three Machine Learning (ML) models to determine their robustness in data-sparse industrial environments for predicting and optimising the performance and energy consumption of an immersion mill. By employing active learning strategies that target high-variance regions in process space, a limited experimental dataset (15 batches) was found sufficient to accurately predict mill performance, provided the correct model architecture is chosen. Three models were used: Random Forest Regression (RFR), Gradient Boosted Trees (GBT) and Symbolic Regression (SR). Based on performance when used on completely unseen data, as well as interpretability and usability, the SR models were found to be the most effective for this application. The simple algebraic form of the SR models allowed for direct use in exploring 'what-if' scenarios, and equally allowed either model to serve as a constraint for the other to minimise energy use to achieve a target particle size. An unexpected finding during this work was that the relationship between final particle size and impeller speed and grinding media content is weaker than for classic vertical stirred mill designs owing to transport and/or mixing mechanisms novel to this particular mill design. The result of this study is a set of predictive models that can be used in optimising the immersion milling process, and effectively responding to changes in feed Particle Size Distribution (PSD) whilst minimising energy use.

Machine learning  /  Wet milling  /  Prediction  /  Optimisation
Daniel Weston, Li Liu, Christopher Windows-Yule. Prediction of immersion mill performance and energy use via machine learning[J]. Particuology, 2026 , 115 : 336 -355 . DOI: 10.1016/j.partic.2026.05.023
  • Centre for Doctoral Training in Formulation Engineering
  • EPSRC(EP/S023070/1)
Year 2026 volume 115 Issue 0
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Article Info
doi: 10.1016/j.partic.2026.05.023
  • Receive Date:2026-01-30
  • Online Date:2026-08-20
  • Published:2026-08-10
Article Data
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History
  • Received:2026-01-30
  • Revised:2026-05-06
  • Accepted:2026-05-29
Funding
Centre for Doctoral Training in Formulation Engineering
EPSRC(EP/S023070/1)
Affiliations
    aSchool of Chemical Engineering, University of Birmingham, Birmingham, B15 2TT, UK
    bJohnson Matthey Technology Centre, P.O. Box 1, Belasis Avenue, Billingham, TS23 1LB, UK

Corresponding:

* School of Chemical Engineering, University of Birmingham, Birmingham, B15 2TT, UK. E-mail address: (D. Weston).
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https://castjournals.cast.org.cn/joweb/partic/EN/10.1016/j.partic.2026.05.023
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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