A Combined RSM-FEM Analysis of Electric Field Distribution in a Novel Design of an Inclined-Plane Electrostatic Separator
Keywords:
Electric field, Electrostatic separation, Finite element method, Inclined-plane separator, OptimizationAbstract
The electrostatic separation effectively sorts mixed granular insulators using electrical and mechanical forces. For optimal process performance, particles require a high electric field (E-field) to enhance separation. The present study was aimed at analyzing the E-field distribution within a novel design of an inclined-plane electrostatic separator, which features four flat electrodes and two side openings adjacent to the plane to prevent particle rebound. Simulation experiments were designed to optimize key operating factors, specifically, the width of the horizontal electrodes and both the width and inclination angle of the vertical electrodes using Finite Element Method (FEM) in COMSOL Multiphysics, alongside Response Surface Methodology (RSM) and Central Composite Design (CCD) in JMP statistical software. Maximum, average, and center E-field values were evaluated as performance responses. The quadratic models identified optimal parameters: a horizontal electrode width of 3 cm; vertical electrode width of 1 cm; inclined at 90°, yielding a maximum desirability of 94%. The width of the horizontal electrodes was found to be the most significant factor, contributing over 80% to E-field strength. The correlation between simulated data and model predictions was strong (R² > 0.99), with prediction errors not exceeding 5.83%. Comparative analysis revealed that our model enhanced E-field parameters by approximately 65% compared to conventional designs.References
[1] C. Fenwick, K. Mayers, J. Lee and R. Murphy, Recycling plastics from e-waste: Implications for effective eco-design, Journal of Industrial Ecology, 27(5), 2023, 1370-1388.
[2] K. S. Khor, T. Ramayah and H. R. P. Fouladgaran, Managing eco-design for reverse logistics, International Journal of Environment and Waste Management, 26(2), 2020, 125-146.
[3] P. Cicconi, Eco-design and eco-materials: An interactive and collaborative approach, Sustainable Materials and Technologies, 23, 2020, e00135.
[4] G. Chauhan, P. R. Jadhao, K. K. Pant and K. D. P. Nigam, Novel technologies and conventional processes for recovery of metals from waste electrical and electronic equipment: Challenges & opportunities – A review, Journal of Environmental Chemical Engineering, 6(1), 2018, 1288-1304.
[5] Z. Wang, N. J. Miles, T. Wu, F. Gu and P. Hall, Recycling oriented vertical vibratory separation of copper and polypropylene particles, Powder Technology, 301, 2016, 694-700.
[6] A. Benabboun, A. Tilmatine, Y. Brahami, S. E. Bendimerad, M. Miloudi and K. Medles, Experimental investigation of electrostatic separators of plastic particles using different charging devices, Separation Science and Technology, 49(3), 2014, 464-468.
[7] A. Nadjem, M. Kachi, F. Bekkara, K. Medles, T. Zeghloul and L. Dascalescu, Triboelectrification of granular insulating materials as affected by dielectric barrier discharge (DBD) treatment, Journal of Electrostatics, 86, 2017, 18-23.
[8] S. K. Mohanta, B. Rout, R. K. Dwari, P. S. R. Reddy and B. K. Mishra, Tribo-electrostatic separation of high ash coking coal washery rejects: Effect of moisture on separation efficiency, Powder Technology, 294, 2016, 292-300.
[9] M. Miloudi, K. Medles, A. Tilmatine, A. Bendaoud and L. Dascalescu, Optimization of belt-type electrostatic separation of triboaerodynamically charged granular plastic mixtures, IEEE Transactions on Industry Applications, 49(4), 2013, 1781-1786.
[10] A. Nadjem, M. Kachi, K. Rouagdia and M. Remadnia, Experimental study of an inclined-plane electrostatic separator, Proceedings of the Third International Symposium on Materials and Sustainable Development, 2018, 439-450.
[11] H. Reriballah, W. Aksa, M. F. Boukhoulda, S. Touhami, K. Medles and A. Tilmatine, realization and optimization of a new inclined plane electro-separator, 2019 International Conference on Advanced Electrical Engineering (ICAEE), 2019, 1-6.
[12] M. Xue, G. Yan, J. Li and Z. Xu, Electrostatic separation for recycling conductors, semiconductors, and nonconductors from electronic waste, Environmental Science & Technology, 46(19), 2012, 10556-10563.
[13] H. Louati, A. Tilmatine, R. Ouiddir, A. Alibida and N. Zouzou, New separation technique of metal/polymer granular materials using an electrostatic sorting device, Journal of Electrostatics, 103, 2020, 103410.
[14] M. Miloudi, L. Dascalescu, J. Li, S. El-Mossouess and K. Medles, Tribo-aero-electrostatic separator for coarse granular insulating materials, IEEE Transactions on Dielectrics and Electrical Insulation, 20(5), 2013, 1510-1515.
[15] J. Li and L. Dascalescu, Newly-patented technical solutions for improving the tribo-electrostatic separation of mixed granular solids, Recent Patents on Engineering, 6(2), 2012, 104-115.
[16] H. Zhang, G. Pan and H. Zheng, Optimization of two-stage high-voltage electrostatic separation parameters for retired passenger vehicle plastics by response surface methodology, Materiale Plastice, 59(4), 2022, 109.
[17] M. Maammar, T. Zeghloul, W. Aksa, S. Touhami, I. Achouri and L. Dascalescu, Factors that influence the trajectories of charged insulating particles in roll-type electrostatic separators, Journal of Electrostatics, 115, 2022, 103672.
[18] S. Touhami, W. Aksa, M. Maammar, T. Zeghloul, K. Medles and L. Dascalescu, Numerical simulation of the behavior of insulating particles in a free fall tribo-electrostatic separator with four vertical cylindrical electrodes, Journal of Electrostatics, 97, 2019, 8-14.
[19] M. Xue and Z. Xu, Computer simulation of the pneumatic separator in the pneumatic- electrostatic separation system for recycling waste printed circuit boards with electronic components, Environmental Science & Technology, 47(9), 2013, 4598-4604.
[20] P. M. Ireland, Modelling dense particle streams during free-fall electrostatic separation, Powder Technology, 434, 2024, 119290.
[21] J. Li, H. Lu, S. Liu and Z. Xu, Optimizing the operating parameters of corona electrostatic separation for recycling waste scraped printed circuit boards by computer simulation of electric field, Journal of Hazardous Materials, 153(1-2), 2008, 269-275.
[22] A. N. Tuah, A. B. Ibrahim, S. Dzulkifly, F. Mohammad Yusof, R. Awang Nor and R. Ariffin, Analysis of the area under a curve (AUC) using C-programming: Trapezium and Simpson rules techniques, Journal of ICT in Education, 9(1), 2022, 143-153.
[23] D. Baş and I. H. Boyaci, Modeling and optimization I: Usability of response surface methodology, Journal of Food Engineering, 78(3), 2007, 836-845.
[24] N. Kadous, F. Miloua, F. Z. Rahou and A. Tilmatine, Optimisation of the electrostatic separation process using the design of experiments methodology, Materials Technology, 20(3), 2005, 156-160.
[25] A. Bendaoud, A. Tilmatine, K. Medles, M. Rahli, M. Huzau and L. Dascalescu, Characterization of dual corona-electrostatic electrodes for electrostatic processes applications, IEEE Transactions on Industry Applications, 44(3), 2008, 692-698.
[26] Y. T. Chung, L. Y. Ng and A. W. Mohammad, Sulfonated-polysulfone membrane surface modification by employing methacrylic acid through UV-grafting: Optimization through response surface methodology approach, Journal of Industrial and Engineering Chemistry, 20(4), 2014, 1549-1557.
[27] S. F. Sawyer, Analysis of variance: The fundamental concepts, Journal of Manual & Manipulative Therapy, 17(2), 2009, 27E-38E.
[28] D. Szucs and J. P. A. Ioannidis, When null hypothesis significance testing is unsuitable for research: A reassessment, Frontiers in Human Neuroscience, 11, 2017, 390.
[29] D. Zhang, A coefficient of determination for generalized linear models, The American Statistician, 71(4), 2017, 310-316.
[30] C. L. Cheng, Shalabh and G. Garg, Coefficient of determination for multiple measurement error models, Journal of Multivariate Analysis, 126, 2014, 137-152.
[31] A. Bayat, H. R. Mahdavi, M. Kazemimoghaddam and T. Mohammadi, Preparation and characterization of γ-alumina ceramic ultrafiltration membranes for pretreatment of oily wastewater, Desalination and Water Treatment, 57(51), 2016, 24322-24332.
[32] L. Zigan, Overview of electric field applications in energy and process engineering, Energies, 11(6), 2018, 1361
[33] V. K. Gandi, R. Verma, M. Warrier and A. Sharma, Effect of electrode profile and polarity on performance of pressurized sparkgap switch, Plasma, 5(1), 2022, 130-145.
[34] M. Maammar, S. Touhami, M. Rezoug, K. Daioui, L. Dascalescu and K. Medles, Experimental study and numerical simulation of particles trajectories in a flexible-electrode-type electrostatic separator, Journal of Physics: Conference Series, 2702(1), 2024, 012018.
[35] D. Singh and P. V. Rao, A surface roughness prediction model for hard turning process, The International Journal of Advanced Manufacturing Technology, 32, 2007, 1115-1124.
[36] Statistics By Jim, Understanding Interaction Effects in Statistics. https://statisticsbyjim.com/regression/interaction-effects/, 2024 (accessed 13.12.2024).
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