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Article

Multi-Field Coupling- and Data-Driven-Based Optimization of Cooling Process Parameters for Planetary Rolling Rolls

1
College of Automotive and Transportation, Shenyang Ligong University, Shenyang 110159, China
2
Shi Changxu Materials Innovation Center, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
3
College of Materials Science and Engineering, Shenyang Ligong University, Shenyang 110159, China
*
Author to whom correspondence should be addressed.
Materials 2025, 18(17), 4111; https://doi.org/10.3390/ma18174111
Submission received: 2 August 2025 / Revised: 27 August 2025 / Accepted: 29 August 2025 / Published: 1 September 2025
(This article belongs to the Section Manufacturing Processes and Systems)

Highlights

  1. The error between the model and the experiment is less than 5%.
  2. Cooling worsens as nozzle diameter grows from 2 mm to 4 mm.
  3. Cooling effect is highly sensitive to nozzle angle and diameter.
  4. RF model best predicts roll temp., outperforming GBDT and SVM.
  5. Optimal spray angle is 7°, with 2 mm nozzle and 96 mm axial distance.

Abstract

In the three-roll planetary rolling process, excessively high surface temperature of the rolls can easily lead to copper adhesion, deterioration of roll surface quality, shortened rolling lifespan, and severely affect the quality of copper tube products as well as production efficiency. To improve the cooling efficiency of the roll cooling system, this study developed a fluid–solid–heat coupled model and validated it experimentally to investigate the effects of nozzle diameter, spray angle, and axial position of the spray ring on the cooling performance of the roll surface. Given the low computational efficiency of finite element simulations, three machine learning models—Random Forest (RF), Gradient Boosting Decision Tree (GBDT), and Support Vector Machine (SVM)—were introduced and evaluated to identify the most suitable predictive model. Subsequently, the Particle Swarm Optimization (PSO) algorithm was employed to optimize the geometric parameters of the spray ring. The results show that the maximum deviation between the coupled model predictions and experimental data was 4.36%, meeting engineering accuracy requirements. Among the three machine learning models, the RF model demonstrated the best performance, achieving RMSE, MAE, and R2 values of 1.7336, 1.3203, and 0.9082, respectively, on the test set. The combined RF-PSO optimization approach increased the heat transfer coefficient by 44.72%, providing a robust theoretical foundation for practical process parameter optimization and precision tube manufacturing.
Keywords: three-roll planetary rolling; machine learning; numerical simulation; spray cooling; heat transfer three-roll planetary rolling; machine learning; numerical simulation; spray cooling; heat transfer
Graphical Abstract

Share and Cite

MDPI and ACS Style

Yue, F.; Shao, Y.; Sun, H.; Liu, J.; Chen, D.; Sha, Z. Multi-Field Coupling- and Data-Driven-Based Optimization of Cooling Process Parameters for Planetary Rolling Rolls. Materials 2025, 18, 4111. https://doi.org/10.3390/ma18174111

AMA Style

Yue F, Shao Y, Sun H, Liu J, Chen D, Sha Z. Multi-Field Coupling- and Data-Driven-Based Optimization of Cooling Process Parameters for Planetary Rolling Rolls. Materials. 2025; 18(17):4111. https://doi.org/10.3390/ma18174111

Chicago/Turabian Style

Yue, Fengli, Yang Shao, Hongyun Sun, Jinsong Liu, Dayong Chen, and Zhuo Sha. 2025. "Multi-Field Coupling- and Data-Driven-Based Optimization of Cooling Process Parameters for Planetary Rolling Rolls" Materials 18, no. 17: 4111. https://doi.org/10.3390/ma18174111

APA Style

Yue, F., Shao, Y., Sun, H., Liu, J., Chen, D., & Sha, Z. (2025). Multi-Field Coupling- and Data-Driven-Based Optimization of Cooling Process Parameters for Planetary Rolling Rolls. Materials, 18(17), 4111. https://doi.org/10.3390/ma18174111

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