Comparison of Reynolds average Navier– Stokes turbulence models in numerical simulations of the DC arc plasma torch

Zihan PAN (潘子晗); Lei YE (叶雷); Shulou QIAN (钱树楼); Qiang SUN(孙强); Cheng WANG (王城); Taohong YE (叶桃红); Weidong XIA (夏维东)

doi:10.1088/2058-6272/ab4f00

Plasma Science and Technology > 2020 > 22(2): 25401-025401. > DOI: 10.1088/2058-6272/ab4f00

Zihan PAN (潘子晗), Lei YE (叶雷), Shulou QIAN (钱树楼), Qiang SUN(孙强), Cheng WANG (王城), Taohong YE (叶桃红), Weidong XIA (夏维东). Comparison of Reynolds average Navier– Stokes turbulence models in numerical simulations of the DC arc plasma torch[J]. Plasma Science and Technology, 2020, 22(2): 25401-025401. DOI: 10.1088/2058-6272/ab4f00

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Comparison of Reynolds average Navier– Stokes turbulence models in numerical simulations of the DC arc plasma torch

¹ School of Engineering Science, University of Science and Technology of China, Hefei 230022, People's Republic of China
² Hefei Aipuli Plasma Ltd. Company, Hefei 230088, People's Republic of China

Funds: This work is supported by National Natural Science Foundation of China (Nos. 11675177, 11875256) and the Anhui Province Scientific and Technological Project (No. 1604a0902145).

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Received Date: May 19, 2019
Revised Date: October 15, 2019
Accepted Date: October 16, 2019

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Abstract

Abstract

Five turbulence models of Reynolds average Navier–Stokes (RANS), including the standard k - ɛ model, the RNG k - ɛ model taking into account the low Reynolds number effect, the realizable k - ɛ model, the SST k - ω model, and the Reynolds stress model (RSM), are employed in the numerical simulations of direct current (DC) arc plasma torches in the range of arc current from 80 A to 240 A and air gas flow rate from 10 m³ h⁻¹ to 50 m³ h⁻¹. The calculated voltage, electric field intensity, and the heat loss in the arc chamber are compared with the experiments. The results indicate that the arc voltage, the electric field, and the heat loss in the arc chamber calculated by using the standard k - ɛ model, the RNG k - ω model taking into account the low Reynolds number effect, and the realizable k - ɛ model are much larger than those in the experiments. The RSM predicts relatively close results to the experiments, but fails in the trend of heat loss varying with the gas flow rate. The calculated results of the SST k - ω model are in the best agreement with the experiments, which may be attributed to the reasonable predictions of the turbulence as well as its distribution.
- DC arc plasma torch,
- numerical simulation,
- turbulence model

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References (56)

References

[1]	Scott D A, Kovitya P and Haddad G N 1989 J. Appl. Phys.66 5232
[2]	Han P and Chen X 2001 Plasma Chem. Plasma Process 21 249
[3]	Westhoff R and Szekely J 1991 J. Appl. Phys. 70 3455
[4]	Ghorui S, Heberlein J V R and Pfender E 2007 J. Phys. D:Appl. Phys. 40 1966
[5]	Li H P and Chen X 2001 J. Phys. D: Appl. Phys. 34 L99
[6]	Li H P, Pfender E and Chen X 2003 J. Phys. D: Appl. Phys.36 1084
[7]	Huang R Z et al 2011 IEEE Trans. Plasma Sci. 39 1974
[8]	Chazelas C et al 2006 High Temp. Mater. Processes: Int.Quart. High-Technol. Plasma Processes 10 393
[9]	Moreau E et al 2006 J. Therm. Spray Technol. 15 524
[10]	Trelles J P and Heberlein J V R 2006 J. Therm. Spray Technol.15 563
[11]	Shigeta M 2016 J. Phys. D: Appl. Phys. 49 493001
[12]	Hsu K C, Etemadi K and Pfender E 1983 J. Appl. Phys.54 1293
[13]	Gonzalez J J, Freton P and Gleizes A 2000 J. Phys. D: Appl.Phys. 35 3181
[14]	Lago F et al 2004 J. Phys. D: Appl. Phys. 37 883
[15]	Hur M and Hong S H 2002 J. Phys. D: Appl. Phys. 35 1946
[16]	Park J M et al 2004 IEEE Trans. Plasma Sci. 32 479
[17]	Huang R et al 2012 J. Therm. Spray Technol. 21 636
[18]	Gleizes A, Gonzalez J J and Freton P 2005 J. Phys. D: Appl.Phys. 38 R153
[19]	Menter F R and Esch T 2001 Elements of industrial heat transfer predictions Proc. 16th Brazilian Congress of Mechanical Engineering (Uberlandia, Brazil)
[20]	Zhou Q H 2009 Numerical simulations of DC arc plasma torches PhD Thesis Fudan University, Shanghai, China (in Chinese)
[21]	Zhou Q H et al 2008 J. Phys. D: Appl. Phys. 42 015210
[22]	Shigeta M 2019 IEEJ Trans. Electr. Electron. Eng. 14 16
[23]	Colombo V, Concetti A and Ghedini E 2007 Time dependent 3D large eddy simulation of a DC non-transferred arcplasma spraying torch with particle injections Proc. 200716th IEEE Int. Pulsed Power Conf. (Albuquerque, NM, USA, 17–22 June 2007) (Piscataway, NJ: IEEE) 1565(https://doi.org/10.1109/PPPS.2007.4652486)
[24]	Shigeta M 2012 Plasma Sources Sci. Technol. 21 055029
[25]	Shigeta M 2012 J. Phys. D: Appl. Phys. 46 015401
[26]	Colombo V et al 2011 IEEE Trans. Plasma Sci. 39 2894
[27]	Marchand C et al 2007 J. Therm. Spray Technol. 16 705
[28]	Vardelle A et al 2008 Pure Appl. Chem. 80 1981
[29]	Meillot E et al 2015 Surf. Coat. Technol. 268 257
[30]	Trelles J P, Pfender E and Heberlein J 2006 Plasma Chem.Plasma Process. 26 557
[31]	Trelles J P, Heberlein J V R and Pfender E 2007 J. Phys. D:Appl. Phys. 40 5937
[32]	Trelles J P, Pfender E and Heberlein J V R 2007 J. Phys. D:Appl. Phys. 40 5635
[33]	Trelles J P 2013 J. Phys. D: Appl. Phys. 46 255201
[34]	Trelles J P 2014 IEEE Trans. Plasma Sci. 42 2852
[35]	Trelles J P and Modirkhazeni S M 2014 Comput. Methods Appl. Mech. Eng. 282 87
[36]	Murphy A B and Arundelli C J 1994 Plasma Chem. PlasmaProcess. 14 451
[37]	Murphy A B 1995 Plasma Chem. Plasma Process. 15 279
[38]	Bhuyan P J and Goswami K S 2007 IEEE Trans. Plasma Sci.35 1781
[39]	Launder B E and Spalding D B 1972 Lectures in Mathematical Models of Turbulence (London: Acadamic)
[40]	Orszag S A et al 1993 Renormalization group modelling andturbulence simulations ed M C Ronald et al Near-wallTurbulent Flows: Proc. Int. Conf. on Near-Wall TurbulentFlows (New York: Elsevier)
[41]	Shih T H et al 1995 Comput. Fluids 24 227
[42]	Menter F R 1994 AIAA J. 32 1598
[43]	Launder B E 1989 Int. J. Heat Fluid Flow 10 282
[44]	Wolfshtein M 1969 Int. J. Heat Mass Transfer 12 301
[45]	Chen H C and Patel V C 2012 AIAA J. 26 641
[46]	Jongen T and Gatski T B 1998 Int. J. Eng. Sci. 36 739
[47]	Bauchire J M, Gonzalez J J and Gleizes A 1997 Plasma Chem.Plasma Process. 17 409
[48]	Freton P et al 2011 J. Phys. D: Appl. Phys. 44 345202
[49]	Liao M R et al 2018 High Volt. Eng. 44 926 (in Chinese)
[50]	Liao M R, Li H and Xia W D 2016 J. Appl. Phys. 120 063304
[51]	Fanara C 2005 IEEE Trans. Plasma Sci. 33 1072
[52]	Jiao L Y 2012 The electric-probe diagnostics of the large-scalemagnetically rotating arc plasma MSc Thesis University of Science and Technology of China (in Chinese)
[53]	Zhukov M F and Zasypkin I M 2007 Thermal Plasma Torches: Design, Characteristics, Applications (Cambridge: Cambridge International Science Publishing)
[54]	Basse N T 2017 Fluids 2 30
[55]	Gleizes A 2015 Plasma Chem. Plasma Process. 35 455
[56]	Liu F Y et al 2018 Plasma Sci. Technol. 20 125401

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Comparison of Reynolds average Navier– Stokes turbulence models in numerical simulations of the DC arc plasma torch