Modeling and simulation of plasma jet by lattice Boltzmann method. (English) Zbl 1141.76048
Summary: In order to find a simple and efficient simulation for plasma spray process, we perform an attempt to calculate velocity and temperature field of plasma jet by hexagonal 7-bit lattice Boltzmann method (LBM). Utilizing the methods of Chapman-Enskog expansion and multi-scale expansion, we derive the macroequations of plasma jet from the lattice Boltzmann evolution equations on the basis of selecting two opportune equilibrium distribution functions. The present model proves to be valid when the predictions of the current model are compared with both experimental and previous model results. It is found that the LBM is simpler and more efficient than the finite difference method. There is no large variation of flow characteristics, and the isotherm distribution of the turbulent plasma jet is compared with the changed quantity of the inlet velocity. Compared with the velocity at the inlet, the temperature at the inlet has a less influence on the characteristics of plasma jet.
MSC:
| 76M28 | Particle methods and lattice-gas methods |
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
References:
| [1] | E. Pfender, C.H. Chang, Plasma spray jets and plasma-particulate interaction: modeling and experiments, in: Proceeding of the 15th International Thermal Spray Conference, Nice, France, USA, vol. 1, 1998, pp. 315-325.; E. Pfender, C.H. Chang, Plasma spray jets and plasma-particulate interaction: modeling and experiments, in: Proceeding of the 15th International Thermal Spray Conference, Nice, France, USA, vol. 1, 1998, pp. 315-325. |
| [2] | Zhang, Haiou, Rapid metal tooling technology, Electro. Mach. Mould, 228, 6-8 (2002) |
| [3] | Zhang, Haiou; Wang, Guilan; Takeo, Nakga, Rapid hard tooling by plasma spraying for injection molding and sheet metal forming, Thin Solid Films, 390, 7-12 (2001) |
| [4] | Li, He-Ping; Chen, Xi, Three-dimensional simulation of a plasma jet with transverse particle and carrier gas injection, Thin Solid Films, 390, 175-180 (2001) |
| [5] | Boulos, M.; Fauchais, P.; Pfender, E., Thermal Plasmas, vol. 1 (1995), Plenum: Plenum New York |
| [6] | Jodoin, B.; Proulx, P.; Mercadier, Y., Numerical study of supersonic direct current plasma nozzle flow, AIAA J., 36, 578-584 (1998) |
| [7] | Wang, Guilan; Chen, Yanxiang; Zhang, Haiou, Effects of scanning path on the deposition process in rapid plasma spray tooling: modeling by homogenization theory, Thin Solid Films, 435, 124-130 (2003) |
| [8] | McNamara, G.; Zanetti, G., Use of the Boltzmann equation to simulate lattice-gas automata, Phys. Rev. Lett., 61, 2332-2337 (1988) |
| [9] | Qian, Y. H., Lattice BGK models for Navier-Stokes, Equat. Europhys. Lett., 17, 479-484 (1992) · Zbl 1116.76419 |
| [10] | Chris, T.; Chen, Hudong; David, M., Multi-speed thermal lattice Boltzmann method stabilization via equilibrium under-relaxation, Comput. Phys. Commun., 129, 207-226 (2000) · Zbl 0990.76072 |
| [11] | Chen, Shiyi; Doolen, D., Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech., 30, 329-364 (1998) · Zbl 1398.76180 |
| [12] | Chapman, S., The mathematical theory of non uniform-gases (1970), The Cambridge University Press |
| [13] | Hou, S.; Stering, J.; Chen, S., A lattice Boltzmann subgrid model for high Reynolds number flows, Fields Inst. Comm., 6, 151-166 (1996) · Zbl 0923.76275 |
| [14] | Lesieur, M.; Metais, O., New trends in LES of turbulence, Annu. Rev. Fluid Mech., 28, 45-82 (1996) |
| [15] | Akselvoll, K.; Moin, P., Large-eddy simulation of turbulent confined coannular jets flows, J. Fluid Mech., 315, 387-397 (1996) · Zbl 0875.76444 |
| [16] | Teixeira, C. M., Incorporating turbulence models into the lattice-Boltzmann method, Int. J. Mod. Phys. C, 9, 1159-1175 (1998) |
| [17] | Pan, Wenxia, Generation of long, laminar plasma jets at atmospheric pressure and effects of flow turbulence, Plasma Chem. Plasma Process., 21, 23-30 (2001) |
| [18] | Meng, Xian; Pan, Wenxia; Wu, Chengkang, Temperature and velocity measurement of plasma jet, J. Eng. Thermophys. (China), 25, 490-492 (2004) |
| [19] | Pan, Wenxia; Meng, Xian; Wu, Chengkang, Length change of DC laminar-flow argon plasma jet, J. Eng. Thermophys. (China), 26, 677-679 (2005) |
| [20] | Pfender, E.; Spores, R.; Chen, W., A new look at the thermal and gas dynamic characteristics of a plasma jet, Int. J. Mater. Product Technol., 10, 548-565 (1995) |
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