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Investigating Plasma Jets Behavior using Axisymmetric Lattice Boltzmann Model under Temperature Dependent Viscosity

Published online by Cambridge University Press:  03 June 2015

Ridha Djebali*
Affiliation:
ISLAIB - Béja 9000, University of Jendouba, Tunisia
*
*Corresponding author.Email:ridha.djebali@ipein.rnu.tn
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Abstract

This study aims to investigate turbulent plasma flow using the lattice Boltzmann (LB) method. A double population model D2Q9-D2Q4 is employed to calculate the plasma velocity and temperature fields. Along with the calculation process a conversion procedure is made between the LB and the physical unit systems, so that thermo-physical properties variation is fully accounted for and the convergence is checked in physical space. The configuration domain and the boundary condition treatment are selected based on the most cited studies in order to illustrate a realistic situation. The jet morphology analysis gives credible results by comparison with commonly published works. It was demonstrated also that accounting for the substrate as wall boundary condition modify greatly the flow and temperature structures with may affect absolutely the particles behavior during its in-flight in the hot gas.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2014

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References

[1]Pfender, E. and Chang, C. H., Plasma spray jets and plasma-particulates interactions: modeling and experiments, Proceedings of the 15th International Thermal Spray Conference, 2529 May 1998, Nice, France.Google Scholar
[2]Mariaux, G., Fauchais, P., Vardelle, M. and Pateyron, B., Modeling of the plasma spray process: From powder injection to coating formation, High Temperature Material Processes, 5(1) (2001), 6185.Google Scholar
[3]Djebali, R., Sammouda, H. and El Ganaoui, M., Some advances in applications of lattice Boltz-mann method for complex thermal flows, Adv. Appl. Math. Mech., 2(5) (2010), 587608.Google Scholar
[4]Zhou, J. G., Axisymmetric lattice Boltzmann method, Phys. Rev. E, 78 (2008), 036701.Google Scholar
[5]Hou, S., Sterling, J., Chen, S. and Doolen, G. D., A lattice Boltzmann subgrid model for high Reynolds number flows, in: Pattern Formation and Lattice Gas Automata, Lawniczak, A. T., Kapral, R. (Eds.), Fields Inst. Comm., 6 (1996), 151166.Google Scholar
[6]Qian, Y. H., D’Humieres, D. and Lallemand, P., Lattice BGK models for Navier-Stokes equation, Europhys. Lett., 17(6) (1992), 479484.Google Scholar
[7]Mohamad, A. A., Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes, Springer Verlag, 2011.Google Scholar
[8]Lycett-Brown, D., Karlin, I., Luo, K. H., Droplet collision simulation by a multi-speed lattice Boltzmann method, Commun. Comput. Phys., 9(5) (2011), 12191234.CrossRefGoogle Scholar
[9]Dupuy, P. M., Fernandino, M., Jakobsen, H. A. and Svendsen, H. F., Multiphysic two-phase flow lattice Boltzmann: droplets with realistic representation of the interface, Commun. Comput. Phys., 9(5) (2011), 14141430.Google Scholar
[10]Schmieschek, S. and Harting, J., Contact angle determination in multicomponent lattice Boltz-mann simulations, Commun. Comput. Phys., 9(5) (2011), 11651178.Google Scholar
[11]Inamuro, T., Hayashi, H. and Koshiyama, M., Behaviors of spherical and nonspherical particles in a square pipe flow, Commun. Comput. Phys., 9(5) (2011), 11791192.Google Scholar
[12]He, B., Chen, Y., feng, W., Li, Q., Song, A., Wang, Y., Zhang, M. and Zhang, W., Compressible lattice Boltzmann method and applications, Int. J. Num. Anal. Model., 9(2) (2012), 410418.Google Scholar
[13]Raabe, D., Overview of the lattice Boltzmann method for nano- and microscale fluid dynamics in materials science and engineering, Modelling Simul. Mater. Sci. Eng., 12 (2004), R13R46.Google Scholar
[14]Meillot, E., Vardelle, A., Coudert, J. F., Pateyron, B. and Fauchais, P., Plasma spraying using Ar-He-H2 gas mixtures, 1st Proceedings of the International Thermal Spray Conference, pp. 803808, 1998.Google Scholar
[15]Pateyron, B., Delluc, G. and Calvé, N., T&TWinner, the chemistry of non-line transport properties in interval 300K to 20000 K, Mécanique et industries, 6 (2005), 651654.Google Scholar
[16]Wang, H.-X., Chen, X. and Pan, W., Modeling study on the entrainment of ambient air into subsonic laminar and turbulent argon plasma jets, Plasma Chem. Plasma Process., 27 (2007), 141162.Google Scholar
[17]Ramshaw, J. D. and Chang, C. H., Computational fluid dynamics modeling of multicompo-nent thermal plasmas, Plasma Chem. Plasma Process., 12(3) (1992), 299325.Google Scholar
[18]Yu, H., Luo, L.-S. and Girimaji, S. S., LES of turbulent square jet flow using an MRT lattice Boltzmann model, Computers & Fluids, 35 (2006), 957965.Google Scholar
[19]Lee, T., Lin, C.-L. and Chen, L.-D., A lattice Boltzmann algorithm for calculation of the laminar jet diffusion flame, J. Comput. Phys., 215 (2006), 133152.Google Scholar
[20]Pateyron, B., ‘Jets&Poudres’ free downlowd from http://www.unilim.fr/spcts or http://jets.poudres.free.frGoogle Scholar
[21]Djebali, R., Pateyron, B., El, M. Ganaoui and Sammouda, H., Axisymmetric high temperature jet behaviors based on a lattice Boltzmann computational method Part I: Argon plasma, Int. Rev. Chem. Eng., 1(5) (2009), 428438.Google Scholar
[22]Van Hirtum, A., Grandchamp, X. and Pelorson, X., Moderate Reynolds number axisymmetric jet development downstream an extended conical diffuser: Influence of extension length, Mech, Eur. J.B–Fluids, 28 (2009), 753760.Google Scholar
[23]Zhang, H., Hu, S., Wang, G. and Zhu, J., Modeling and simulation of plasma jet by lattice Boltzmann method, Applied Mathematical Modelling, 31 (2007), 11241132.Google Scholar
[24]Xu, D. Y., Wu, X. C. and Chen, X., Motion and heating of non-spherical particles in a plasma jet, Surf. Coat. Tech., 171(1-3) (2003),149156.Google Scholar
[25]Djebali, R., Pateyron, B., El, M. Ganaoui and Sammouda, H., Lattice Boltzmann computation of plasma jet behaviors: Part II. Argon-azote mixture, Int. Rev. Chem. Eng., 2(1) (2010), 8694.Google Scholar