Abstract
In this study, a three-dimensional DC plasma torch is modeled using Joule effect method to simulate the plasma jet and its voltage fluctuations. The plasma gas is a mixture of argon/hydrogen, and the arc voltage fluctuation is used as an input data in the model. Reynolds stress model is used for time-dependent simulation of the oscillating flow of the plasma gas interacting with the ambient air. The results are used to investigate the plasma oscillation effects on the trajectory, temperature, and velocity of suspension droplets. Suspensions are formed of ethanol and yttria-stabilized zirconia submicron particles and modeled as multicomponent droplets. To track the droplets/particles, a two-way coupled Eulerian–Lagrangian method is employed. In addition, in order to simulate the droplet breakup, Kelvin–Helmholtz/Rayleigh–Taylor (KH–RT) breakup model is used. After the completion of suspension breakup and evaporation, the sprayed particles are tracked to obtain the in-flight particle conditions including trajectory, size, velocity, and temperature. The arc voltage fluctuations were found to cause more than two times wider particle trajectories resulting in wider particle temperature, velocity, and size distributions compared with the case of constant voltage.
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References
P. Fauchais, J. Heberlein, and M.I. Boulos, Thermal Spray Fundamentals, Springer, New York, 2014
A. Vardelle, C. Moreau, J. Akedo, H. Ashrafizadeh, C.C. Berndt, J. Oberste Berghaus, M. Boulos, J. Brogan, A.C. Bourtsalas, A. Dolatabadi, M. Dorfman, T.J. Eden, P. Fauchais, G. Fisher, F. Gaertner, M. Gindrat, R. Henne, M. Hyland, E. Irissou, B. Jodoin, E.H. Jordan, K.A. Khor, A. Killinger, Y.-C. Lau, C.-J. Li, L. Li, J. Longtin, N. Markocsan, P.J. Masset, J. Matejicek, G. Mauer, A. McDonald, J. Mostaghimi, S. Sampath, G. Schiller, K. Shinoda, M.F. Smith, A.A. Syed, N.J. Themelis, F.-L. Toma, J.P. Trelles, R. Vassen, and P. Vuoristo, The 2016 Thermal Spray Roadmap, J. Therm. Spray Technol., 2016, 25, p 1376-1440
A. Vardelle, C. Moreau, N.J. Themelis, and C. Chazelas, A Perspective on Plasma Spray Technology, Plasma Chem. Plasma Process., 2015, 35, p 491-509
J. Fazilleau, C. Delbos, V. Rat, J.F. Coudert, P. Fauchais, and B. Pateyron, Phenomena Involved in Suspension Plasma Spraying Part 1: Suspension Injection and Behavior, Plasma Chem. Plasma Process., 2006, 26(4), p 371-391
J. Berghaus, B. Marple, and C. Moreau, Suspension Plasma Spraying of Nanostructured WC-12Co Coatings, J. Therm. Spray Technol., 2006, 15(4), p 676-681
P. Fauchais, R. Etchart-Salas, C. Delbos, M. Tognonvi, V. Rat, J.F. Coudert, and T. Chartier, Suspension and Solution Plasma Spraying of Finely Structured Layers: Potential Application to SOFCs, J. Phys. D Appl. Phys., 2007, 40(8), p 2394-2406
H. Samadi, A Thick Multilayer Thermal Barrier Coating: Design, Deposition, and Internal Stresses, Ph.D. Thesis, Department of Materials Science and Engineering, University of Toronto, Canada, 2009
J.F. Bisson, B. Gauthier, and C. Moreau, Effect of Plasma Fluctuations on In-Flight Particle Parameters, J. Therm. Spray Technol., 2003, 12, p 38-43
J.F. Bisson and C. Moreau, Effect of Direct-Current Plasma Fluctuations on In-Flight Particle Parameters: Part II, J. Therm. Spray Technol., 2003, 12, p 258-264
F. Jabbari, M. Jadidi, R. Wuthrich, and A. Dolatabadi, A Numerical Study of Suspension Injection in Plasma-Spraying Process, J. Therm. Spray Technol., 2014, 23, p 3-13
M. Jadidi, M. Mousavi, S. Moghtadernejad, and A. Dolatabadi, A Three-Dimensional Analysis of the Suspension Plasma Spray Impinging on a Flat Substrate, J. Therm. Spray Technol., 2015, 24, p 11-23
Y.P. Wan, V. Gupta, Q. Deng, S. Sampath, V. Prasad, R. Williamson, and J.R. Fincke, Modeling and Visualization of Plasma Spraying of Functionally Graded Materials and Its Application to the Optimization of Spray Conditions, J. Therm. Spray Technol., 2000, 10, p 382-389
D. Khelfi, A. Abdellah El-hadj, and N. Ait-Messaoudène, Modeling of a 3D Plasma Thermal Spraying and the Effect of the Particle Injection Angle, Revue des Energies Renouvelables CISM’08 Oum El Bouaghi, 2008, p 205-216
A. Boussagol, G. Mariaux, E. Legros, A. Vardelle, and P. Nylen, 3-D Modeling of a D.C. Plasma Jet Using Different Commercial CFD Codes, in Proceedings of 14th International Symposium On Plasma Chemistry, Orleans, France, 2000
R.L. Williamson, J.R. Fincke, and C.H. Chang, A Computational Examination of the Sources of Statistical Variance in Particle Parameters During Thermal Plasma Spraying, Plasma Chem. Plasma Process., 2000, 20, p 299-324
K. Cheng, X. Chen, and W. Pan, Comparison of Laminar and Turbulent Thermal Plasma Jet Characteristics—A Modeling Study, Plasma Chem. Plasma Process., 2006, 26, p 211-235
J.R. Fincke, D.M. Crawford, S.C. Snyder, W.D. Swank, D.C. Haggard, and R.L. Williamson, Entrainment in High-Velocity, High-Temperature Plasma Jets. Part I: Experimental results, Int. J. Heat Mass Transf., 2003, 46, p 4201-4213
K. Pourang, C. Moreau, and A. Dolatabadi, Effect of Substrate and Its Shape on in-Flight Particle Characteristics in Suspension Plasma Spraying, J. Therm. Spray Technol., 2016, 25, p 44-54
P. Eichert, M. Imbert, and C. Coddet, Numerical Study of an ArH2 Gas Mixture Flowing Inside and Outside a de Plasma Torch, J. Therm. Spray Technol., 1998, 7, p 505-512
R. Huang, H. Fukanuma, Y. Uesugi, and Y. Tanaka, Simulation of Arc Root Fluctuation in a DC Non-transferred Plasma Torch with Three Dimensional Modeling, J. Therm. Spray Technol., 2012, 21, p 636-643
E. Safaei Ardakani and J. Mostaghimi, Arc Fluctuation Modeling in Non Transferred Direct Current Argon Plasma Torch, in 22nd International Symposium on Plasma Chemistry, Antwerp, Belgium, 2015
J.P. Trelles, E. Pfender, and J. Heberlein, Multiscale Finite Element Modeling of Arc Dynamics in a DC Plasma Torch, Plasma Chem. Plasma Process., 2006, 26(6), p 557-575
E. Moreau, C. Chazelas, G. Mariaux, and A. Vardelle, Modeling the Restrike Mode Operation of a DC Plasma Spray Torch, J. Therm. Spray Technol., 2006, 15, p 524-530
C. Chazelas, J.P. Trelles, I. Choquet, and A. Vardelle, Main Issues for a Fully Predictive Plasma Spray Torch Model and Numerical Considerations, Plasma Chem. Plasma Process., 2017, 37, p 627-651
E. Meillot, D. Guenadou, and C. Bourgeois, Three-Dimension and Transient D.C. Plasma Flow Modeling, Plasma Chem. Plasma Process., 2008, 28, p 69-84
E. Meillot, S. Vincent, C. Le Bot, F. Sarret, J.P. Caltagirone, and L. Bianchi, Numerical Simulation of Unsteady ArH2 Plasma Spray Impact on a Moving Substrate, Surf. Coat. Technol., 2015, 268(88), p 257-265
C. Marchand, A. Vardelle, G. Mariaux, and P. Lefort, Modelling of the Plasma Spray Process with Liquid Feedstock Injection, Surf. Coat. Technol., 2008, 202, p 4458-4464
M.I. Boulos, P. Fauchais, and E. Pfender, Thermal Plasma: Fundamentals and Application, Vol 1, Plenum Press, New York, 1994
C. Kang, H. Ng, and S. Yu, Comparative Study of Plasma Spray Flow Fields and Particle Behavior Near to Flat Inclined Substrates, Plasma Chem. Plasma Process., 2006, 26, p 149-175
ANSYS Inc., ANSYS FLUENT Theory Guide, USA, 2011
M. P. Planche, Experimental Study of Fluctuating Plasma Jets, Ph.D. Thesis, University of Limoges, France, 1995
O. Betoule, Relationships Between the Distributions of Particle Velocity and Temperature and Coating Properties, Ph.D. Thesis, University of Limoges, France, 1994
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The authors gratefully acknowledge the financial support from Natural Sciences and Engineering Research Council (NSERC) of Canada. This research was undertaken, in part, thanks to funding from the Canada Research Chairs Program.
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Dalir, E., Moreau, C. & Dolatabadi, A. Three-Dimensional Modeling of Suspension Plasma Spraying with Arc Voltage Fluctuations. J Therm Spray Tech 27, 1465–1490 (2018). https://doi.org/10.1007/s11666-018-0783-2
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DOI: https://doi.org/10.1007/s11666-018-0783-2