journal article·2025-06-07Open access

A Machine Learning Approach for Predicting Particle Spatial, Velocity, and Temperature Distributions in Cold Spray Additive Manufacturing

Lurui Wang, Mehdi Jadidi, Ali Dolatabadi

Applied Sciences· Volume 15· Issue 12

Abstract

Masked cold spray additive manufacturing (CSAM) is investigated for fabricating nickel-based electrodes with pyramidal pin-fins that enlarge the active area for the hydrogen-evolution reaction (HER). To bypass the high cost of purely CFD-driven optimization, we construct a two-stage machine learning (ML) framework trained on 48 high-fidelity CFD simulations. Stage 1 applies sampling and a K-nearest-neighbor kernel-density-estimation algorithm that predicts the spatial distribution of impacting particles and re-allocates weights in regions of under-estimation. Stage 2 combines sampling, interpolation and symbolic regression to extract key features, then uses a weighted random forest model to forecast particle velocity and temperature upon impact. The ML predictions closely match CFD outputs while reducing computation time by orders of magnitude, demonstrating that ML-CFD integration can accelerate CSAM process design. Although developed for a masked setup, the framework generalizes readily to unmasked cold spray configurations.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: High-Temperature Coating Behaviors · Fluid Dynamics and Heat Transfer · Particle Dynamics in Fluid Flows

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mechanical and Industrial Engineering, University of Toronto, 5 King’s College Rd., Toronto, ON M5S 3G8, Canada

References (40)

Show source-provided references
1. Adiabatic Shear Instability Based Mechanism for Particles/Substrate Bonding in the Cold-Gas Dynamic-Spray Process10.1016/j.matdes.2004.03.008 ↗
2. Cold Spray Additive Manufacturing and Repair: Fundamentals and Applications
3. An Overview of Cold Spray Coating in Additive Manufacturing, Component Repairing and Other Engineering Applications10.1515/jmbm-2022-0056 ↗
4. Vo, P., and Martin, M. (2017, January 7–9). Layer-by-Layer Buildup Strategy for Cold Spray Additive Manufacturing. Proceedings of the Proceedings of the International Thermal Spray Conference, Dusseldorf, Germany.10.31399/asm.cp.itsc2017p0714 ↗
5. Cold Gas Dynamic Spray Additive Manufacturing Today: Deposit Possibilities, Technological Solutions and Viable Applications10.1016/j.matdes.2017.07.067 ↗
6. Physically Based Finite Element Modeling Method to Predict Metallic Bonding in Cold Spray10.1007/s11666-020-01000-1 ↗
7. Smith, M.F. (2016). Introduction to Cold Spray. High Pressure Cold Spray, Springer International Publishing.10.31399/asm.tb.hpcspa.t54460001 ↗
8. Papyrin, A., Kosarev, V., Klinkov, S., Alkimov, A., and Fomin, V. (2007). Cold Spray Technology, Elsevier.
9. Hydrogen Production from Water Electrolysis: Role of Catalysts10.1186/s40580-021-00254-x ↗
10. Three-Dimensional Electrode Coatings for Hydrogen Production Manufactured by Combined Atmospheric and Suspension Plasma Spray10.1016/j.surfcoat.2016.02.065 ↗
11. Cold Spray as a Novel Method for Development of Nickel Electrode Coatings for Hydrogen Production10.1016/j.ijhydene.2015.09.123 ↗
12. Engineered Three-Dimensional Electrodes by HVOF Process for Hydrogen Production10.1007/s11666-016-0458-9 ↗
13. Nasire, N., Jadidi, M., and Dolatabadi, A. (2024). Numerical Analysis of Cold Spray Process for Creation of Pin Fin Geometries. Appl. Sci., 14.10.3390/app142311147 ↗
14. Prediction of Particle Properties in Plasma Spraying Based on Machine Learning10.1007/s11666-021-01239-2 ↗
15. Window of Deposition Description and Prediction of Deposition Efficiency via Machine Learning Techniques in Cold Spraying10.1016/j.surfcoat.2020.126143 ↗
16. Application of Machine Learning for the Prediction of Particle Velocity Distribution and Deposition Efficiency for Cold Spraying Titanium Powder10.1016/j.commatsci.2024.113224 ↗
17. Digital Transformation of Thermal and Cold Spray Processes with Emphasis on Machine Learning10.1016/j.surfcoat.2022.128138 ↗
18. A Three-Dimensional Analysis of the Cold Spray Process: The Effects of Substrate Location and Shape10.1007/s11666-007-9082-z ↗
19. A Reliable Data-Based Bandwidth Selection Method for Kernel Density Estimation10.1111/j.2517-6161.1991.tb01857.x ↗
20. On Information and Sufficiency10.1214/aoms/1177729694 ↗
21. Variational Inference: A Review for Statisticians10.1080/01621459.2017.1285773 ↗
22. A Study of the Parameters Affecting the Particle Velocity in Cold-Spray: Theoretical Results and Comparison with Experimental Data
23. Machine Learning for Fluid Mechanics10.1146/annurev-fluid-010719-060214 ↗
24. Representation Learning: A Review and New Perspectives10.1109/TPAMI.2013.50 ↗
25. Breiman, L., Friedman, J.H., Olshen, R.A., and Stone, C.J. (2017). Classification and Regression Trees, Routledge.10.1201/9781315139470 ↗
26. An Analysis of Transformations10.1111/j.2517-6161.1964.tb00553.x ↗
27. Reducing the Dimensionality of Data with Neural Networks10.1126/science.1127647 ↗
28. Development of a Generalized Parameter Window for Cold Spray Deposition10.1016/j.actamat.2005.10.005 ↗
29. Cold Spray Gas Flow Dynamics for On and Off-Axis Nozzle/Substrate Hole Geometries10.1007/s11666-022-01487-w ↗
30. Deformation of Copper Particles upon Impact: A Molecular Dynamics Study of Cold Spray10.1016/j.commatsci.2019.109219 ↗
31. Zhang, L., Chen, X., Zhou, W., Cheng, T., Chen, L., Guo, Z., Han, B., and Lu, L. (2020). Digital Twins for Additive Manufacturing: A State-of-the-art Review. Appl. Sci., 10.10.3390/app10238350 ↗
32. The Concept of Digital Twin and Digital Shadow in Manufacturing10.1016/j.procir.2021.02.010 ↗
33. A Digital Twin for Rapid Qualification of 3D Printed Metallic Components10.1016/j.apmt.2018.11.003 ↗
34. Digital Twins and Cyber–Physical Systems toward Smart Manufacturing and Industry 4.0: Correlation and Comparison10.1016/j.eng.2019.01.014 ↗
35. The Use of Machine Learning for Digital Shadowing in Thermal Spray Coating
36. Ikeuchi, D., Vargas-Uscategui, A., Wu, X., and King, P.C. (2019). Neural Network Modelling of Track Profile in Cold Spray Additive Manufacturing. Materials, 12.10.3390/ma12172827 ↗
37. A Threshold Selection Method from Gray-Level Histograms10.1109/TSMC.1979.4310076 ↗
38. Ramani, S., Thevenaz, P., and Unser, M. (2007, January 12–15). Regularized Interpolation For Noisy Data. Proceedings of the 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro, Arlington, VA, USA.10.1109/ISBI.2007.356926 ↗
39. Survey: Interpolation Methods in Medical Image Processing10.1109/42.816070 ↗
40. Errors within the Inverse Distance Weighted (IDW) Interpolation Procedure10.1080/10106040801966704 ↗