Theoretical computation studies for transport properties of air plasmas

Wang Wei-Zong; Wu Yi; Rong Ming-Zhe; Yang Fei

doi:10.7498/aps.61.105201

Abstract

The thermophysical properties of arc plasma provide reliable micro-theoretical foundations and parameter inputs for the numerical simulation of the air arc discharge process. Based on the assumption of the local thermodynamic equilibrium, the computation of transport properties including electron diffusion coefficient, viscosity, thermal conductivity and electrical conductivity is performed by using the Chapman-Enskog method and expanding the sonine polynomial up to the third-order approximation (second-order for viscosity) in a pressure (0.120 atm) and temperature range (30040000 K) conditions which satisfy most thermal plasma modelling requirements. The most recent data on potential interactions and elastic differential cross sections for interacting particles are utilized to determine the collision integrals, resulting in more accurate and reliable values of transport properties than those given in the previous literature.

Keywords:

Authors and contacts

1.
School of Electrical Engineering, Xi'an Jiaotong University, State Key Laboratory of Electrical Insulation and Power Equipment, Xi'an 710049, China;
2.
Department of Electrical Engineering and Electronics, The University of Liverpool, Brownlow Hill, Liverpool L69 3GJ, UK
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51177124), the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 51007072), and the Ph.D. Programs Foundation of Ministry of Education of China (Grant No. 20110201130006).

References

[1]	Gong J Q, Gong Y, Liu J Y, Zhang P Y 2002 Acta Phys. Sin. 51 291 (in Chinese) [宫继全, 宫野, 刘金远, 张鹏云 2002 物理学报 51 291]
[2]	Rong M Z, Wu Y, Fei Y, Sun Z Q, Wang W Z, Wang X H 2008 Proceeding of the XVII International Conference on Gas Discharges and Their Applications Cardiff, UK
[3]	Wu Y, Rong M Z, Yang F, Murphy A B, Ma Q, Sun Z Q, Wang X H 2008 IEEE Trans. Plasma Sci. 36 1074
[4]	Wu Y, Rong M Z, Yang F, Wang X H, Ma Q, Wang W Z 2008 Acta Phys. Sin. 57 5761 (in Chinese) [吴翊, 荣命哲, 杨飞, 王小华, 马强, 王伟宗 2008 物理学报 57 5761]
[5]	Rong M Z, Wu Y, Yang F, Murphy A B, Wang W Z, Guo J 2010 IEEE Trans. Plasma Sci. 38 2306
[6]	Yang F, Rong M Z, Wu Y, Shi Q, Liu Z C, Ma R G, Chen S 2011 Acta Phys. Sin. 60 055208 (in Chinese) [杨飞, 荣命哲, 吴翊, 史强, 刘增超, 马瑞光, 陈胜 2011 物理学报 60 055208]
[7]	Wang W Z, Rong M Z, Murphy A B, Wu Y, Su H B, Yang F 2010 High Voltage Engineering 36 2777 (in Chinese) [王伟宗, 荣命哲, Murphy A B, 吴翊, 苏海博, 杨飞 2010 高电压技术 36 2777]
[8]	Zheng J, Gu Y J, Chen Q F, Chen Z Y 2010 Acta Phys. Sin. 59 7472 (in Chinese) [郑君, 顾云军, 陈其峰, 陈志云 2010 物理学报 59 7472]
[9]	Fauchais P, Boulos M I, Pfender E 1994 Thermal Plasmas-Fundamentals and Applications (Vol. 1) (New York: Plenum) p213
[10]	Schreiber P W, Hunter A M, Benedetto K R 1973 AIAA J. 11 2696
[11]	Bacri J, Raffanel S 1989 Plasma Chem. Plasma Process. 9 133
[12]	Murphy A B 1995 Plasma Chem. Plasma Process. 15 279
[13]	Capitelli M, Colonna G, Gorse G, Angola A D 2000 Eur. Phys. J. D 11 279
[14]	Capitelli M, Colonna G, Gorse G, Angola A D 2008 Eur. Phys. J. D 46 129
[15]	Hirschfelder J O, Curtis C F, Bird R B 1964 Molecular Theory of Gases and Liquids (2nd Ed.) (New York: Wiley)
[16]	Chapman S, Cowling T G 1970 The Mathematical Theory of Non-uniform Gases (3rd Ed.) (Cambridge: Cambridge University Press)
[17]	Devoto R S 1967 Phys. Fluids 10 2105
[18]	Devoto R S 1966 Phys. Fluids 9 1230
[19]	Rat V, Andre' P, Aubreton J, Elchinger M F, Fauchais P, Lefort A 2002 J. Phys. D: Appl. Phys. 35 981
[20]	Devoto R S 1973 Phys. Fluids 16 616
[21]	Devoto R S 1967 Phys. Fluids 10 2704
[22]	Meador W E, Stanton L D 1965 Phys. Fluids 8 1694
[23]	Monchick L, Yun K S, Mason E A 1963 J. Chem. Phys. 39 654
[24]	Hirschfelder J O 1957 Chem. Phys. 26 282
[25]	Stallcop J R, Partridge H, Levin E 2000 Phys. Rev. A 62 062709
[26]	Stallcop J R, Partridge H, Levin E 2000 Phys. Rev. A 64 042722
[27]	Levin E, Partridge H, Stallcop H R 1990 J. Thermophys. Heat Transfer 4 469
[28]	Abbaspour M, Goharshadi E K, Emampour J S 2006 Chem. Phys. 326 620
[29]	Ali M, Amir H J 2004 Bull. Chem. Soc. Jpn. 77 1297
[30]	Slavícek P, Kalus R, Paska P 2003 J. Chem. Phys. 119 2102
[31]	Wright M J, Levin E 2005 J. Thermophys. Heat Transfer 19 127
[32]	Brunetti B, Liuti G, Luzzatti E, Pirani F, Volpi G G 1983 J. Chem. Phys. 79 273
[33]	Pirani F, Vecchiocattivi F 1981 Chem. Phys. 59 387
[34]	Brunetti B, Liuti G, Luzzatti E, Pirani F, Vecchiocattivi F 1981 J. Chem. Phys. 74 6734
[35]	Aubreton J, Bonnefoi C, Mexmain J M 1986 Rev. Phys. Appl. 21 365
[36]	Capitelli M, Cappelletti D, Colonna G, Gorse C, Laricchiuta A, Liuti G, Longo S, Pirani F 2007 Chem. Phys. 338 62
[37]	Laricchiuta A, Colonna G, Bruno D, Celiberto R, Gorse C, Pirani F, Capitelli M 2007 Chem. Phys. Lett. 445 133
[38]	Andrea L, Federico P 2008 J. Mol. Struct. (Theochem) 857 22
[39]	Lupinetti C, Thakkar A J 2005 J. Chem. Phys. 122 044301
[40]	Duijnen P T V, Swart M 1998 J. Phys. Chem. A 102 2399
[41]	Das A K, Thakkar A J 1998 J. Phys. B At. Mol. Opt. Phys. 31 2215
[42]	Murphy A B, Arundell C J 1994 Plasma Chem. Plasma Process. 14 451
[43]	Stallcop J R, Partridge H, Levin E 1991 Chem. Phys. 95 6429
[44]	Aubreton J, Bonnefoi C, Mexmain J M 1986 J. Appl. Phys. Rev. 21 365
[45]	Barata J A S 2007 Nucl. Instrum. Meth. Phys. Res. A 580 14
[46]	Danailov D M, Viehland L A, Johnsen R, Wright T G, Dickinson A S 2008 J. Chem. Phys. 128 134302
[47]	BrostrOm L, Larsson M, Mannervik S, Sonneka D 1991 J. Chern. Phys. 94 2734
[48]	Meier P, Sandemant R J, Andrews M 1974 J. Phys. B: At. Mol. Phys. 7 L339
[49]	Me'rawa M, Be'gue' D, Pouchan C 2003 J. Mol. Str. (Theochem) 633 157
[50]	Sourd B, Aubreton J, Elchinger M F, Labrot M, Michon U 2006 J. Phys. D: Appl. Phys. 39 1105
[51]	Thakkar A, Das A K 2001 J. Mol. Str. (Theochem) 547 233
[52]	Yevseyev A V, Radtsig A A, Smirnov B M 1982 J. Phys. B: At. Mol. Phys. 15 4437
[53]	Kihara T, Taylor M H, Hirschfelder J O 1960 Phys. Fluids 3 715
[54]	Mehrdad A, Constantine E T 2005 Atom. Data Nucl. Data Tables 91 8
[55]	Itikawa Y 2009 J. Phys. Chem. Ref. Data 38 1
[56]	Sullivan J P, Gibson J C, Gulley R G, Buckman S J 1995 J. Phys. B 28 4319
[57]	Linert I, King G C, Zubek M 2004 J. Phys. B 37 4681
[58]	Machado L, Ribeiro E M S, Lee M T, Fujimoto M M, Brescansin L M 1999 Phys. Rev. A 60 1199
[59]	Tabata T, Shirai C T, Sataka M, Kubo H A 2006 Atom. Data Nucl. Data Tables 92 375
[60]	Muse J, Silva H, Lopes M C A, Khakoo M A 2008 J. Phys. B: At. Mol. Opt. Phys. 41 095203
[61]	Gote M, Ehrhardt H 1995 J. Phys. B: At. Mol. Opt. Phys. 28 3957
[62]	Hayashi M 1989 NATO ASI Series B 220 333
[63]	Mojarrabi M, Gulley R J, Middleton A G, Cartwright D C, Teubner P J O, Buckman S J, Brunger M J 1995 J. Phys. B 28 487
[64]	Williams J F, Allen L J 1989 J. Phys. B: At. Mol. Opt. Phys. 22 3529
[65]	Thomas L D, Nesbet R K 1975 Phys. Rev. A 12 1729
[66]	Blaha M, Davis J 1975 Phys. Rev. A 12 2319
[67]	Itikawa Y, Ichimura A 1990 J. Phys. Chem. Ref. Data 19 637
[68]	Mason E A, Munn R J 1967 Phys. Fluids 10 1827
[69]	Devoto R S 1973 Phys. Fluids 16 616
[70]	Murphy A B 2001 J. Phys. D: Appl. Phys. 34 151

Cited By

[1]	Gong J Q, Gong Y, Liu J Y, Zhang P Y 2002 Acta Phys. Sin. 51 291 (in Chinese) [宫继全, 宫野, 刘金远, 张鹏云 2002 物理学报 51 291]
[2]	Rong M Z, Wu Y, Fei Y, Sun Z Q, Wang W Z, Wang X H 2008 Proceeding of the XVII International Conference on Gas Discharges and Their Applications Cardiff, UK
[3]	Wu Y, Rong M Z, Yang F, Murphy A B, Ma Q, Sun Z Q, Wang X H 2008 IEEE Trans. Plasma Sci. 36 1074
[4]	Wu Y, Rong M Z, Yang F, Wang X H, Ma Q, Wang W Z 2008 Acta Phys. Sin. 57 5761 (in Chinese) [吴翊, 荣命哲, 杨飞, 王小华, 马强, 王伟宗 2008 物理学报 57 5761]
[5]	Rong M Z, Wu Y, Yang F, Murphy A B, Wang W Z, Guo J 2010 IEEE Trans. Plasma Sci. 38 2306
[6]	Yang F, Rong M Z, Wu Y, Shi Q, Liu Z C, Ma R G, Chen S 2011 Acta Phys. Sin. 60 055208 (in Chinese) [杨飞, 荣命哲, 吴翊, 史强, 刘增超, 马瑞光, 陈胜 2011 物理学报 60 055208]
[7]	Wang W Z, Rong M Z, Murphy A B, Wu Y, Su H B, Yang F 2010 High Voltage Engineering 36 2777 (in Chinese) [王伟宗, 荣命哲, Murphy A B, 吴翊, 苏海博, 杨飞 2010 高电压技术 36 2777]
[8]	Zheng J, Gu Y J, Chen Q F, Chen Z Y 2010 Acta Phys. Sin. 59 7472 (in Chinese) [郑君, 顾云军, 陈其峰, 陈志云 2010 物理学报 59 7472]
[9]	Fauchais P, Boulos M I, Pfender E 1994 Thermal Plasmas-Fundamentals and Applications (Vol. 1) (New York: Plenum) p213
[10]	Schreiber P W, Hunter A M, Benedetto K R 1973 AIAA J. 11 2696
[11]	Bacri J, Raffanel S 1989 Plasma Chem. Plasma Process. 9 133
[12]	Murphy A B 1995 Plasma Chem. Plasma Process. 15 279
[13]	Capitelli M, Colonna G, Gorse G, Angola A D 2000 Eur. Phys. J. D 11 279
[14]	Capitelli M, Colonna G, Gorse G, Angola A D 2008 Eur. Phys. J. D 46 129
[15]	Hirschfelder J O, Curtis C F, Bird R B 1964 Molecular Theory of Gases and Liquids (2nd Ed.) (New York: Wiley)
[16]	Chapman S, Cowling T G 1970 The Mathematical Theory of Non-uniform Gases (3rd Ed.) (Cambridge: Cambridge University Press)
[17]	Devoto R S 1967 Phys. Fluids 10 2105
[18]	Devoto R S 1966 Phys. Fluids 9 1230
[19]	Rat V, Andre' P, Aubreton J, Elchinger M F, Fauchais P, Lefort A 2002 J. Phys. D: Appl. Phys. 35 981
[20]	Devoto R S 1973 Phys. Fluids 16 616
[21]	Devoto R S 1967 Phys. Fluids 10 2704
[22]	Meador W E, Stanton L D 1965 Phys. Fluids 8 1694
[23]	Monchick L, Yun K S, Mason E A 1963 J. Chem. Phys. 39 654
[24]	Hirschfelder J O 1957 Chem. Phys. 26 282
[25]	Stallcop J R, Partridge H, Levin E 2000 Phys. Rev. A 62 062709
[26]	Stallcop J R, Partridge H, Levin E 2000 Phys. Rev. A 64 042722
[27]	Levin E, Partridge H, Stallcop H R 1990 J. Thermophys. Heat Transfer 4 469
[28]	Abbaspour M, Goharshadi E K, Emampour J S 2006 Chem. Phys. 326 620
[29]	Ali M, Amir H J 2004 Bull. Chem. Soc. Jpn. 77 1297
[30]	Slavícek P, Kalus R, Paska P 2003 J. Chem. Phys. 119 2102
[31]	Wright M J, Levin E 2005 J. Thermophys. Heat Transfer 19 127
[32]	Brunetti B, Liuti G, Luzzatti E, Pirani F, Volpi G G 1983 J. Chem. Phys. 79 273
[33]	Pirani F, Vecchiocattivi F 1981 Chem. Phys. 59 387
[34]	Brunetti B, Liuti G, Luzzatti E, Pirani F, Vecchiocattivi F 1981 J. Chem. Phys. 74 6734
[35]	Aubreton J, Bonnefoi C, Mexmain J M 1986 Rev. Phys. Appl. 21 365
[36]	Capitelli M, Cappelletti D, Colonna G, Gorse C, Laricchiuta A, Liuti G, Longo S, Pirani F 2007 Chem. Phys. 338 62
[37]	Laricchiuta A, Colonna G, Bruno D, Celiberto R, Gorse C, Pirani F, Capitelli M 2007 Chem. Phys. Lett. 445 133
[38]	Andrea L, Federico P 2008 J. Mol. Struct. (Theochem) 857 22
[39]	Lupinetti C, Thakkar A J 2005 J. Chem. Phys. 122 044301
[40]	Duijnen P T V, Swart M 1998 J. Phys. Chem. A 102 2399
[41]	Das A K, Thakkar A J 1998 J. Phys. B At. Mol. Opt. Phys. 31 2215
[42]	Murphy A B, Arundell C J 1994 Plasma Chem. Plasma Process. 14 451
[43]	Stallcop J R, Partridge H, Levin E 1991 Chem. Phys. 95 6429
[44]	Aubreton J, Bonnefoi C, Mexmain J M 1986 J. Appl. Phys. Rev. 21 365
[45]	Barata J A S 2007 Nucl. Instrum. Meth. Phys. Res. A 580 14
[46]	Danailov D M, Viehland L A, Johnsen R, Wright T G, Dickinson A S 2008 J. Chem. Phys. 128 134302
[47]	BrostrOm L, Larsson M, Mannervik S, Sonneka D 1991 J. Chern. Phys. 94 2734
[48]	Meier P, Sandemant R J, Andrews M 1974 J. Phys. B: At. Mol. Phys. 7 L339
[49]	Me'rawa M, Be'gue' D, Pouchan C 2003 J. Mol. Str. (Theochem) 633 157
[50]	Sourd B, Aubreton J, Elchinger M F, Labrot M, Michon U 2006 J. Phys. D: Appl. Phys. 39 1105
[51]	Thakkar A, Das A K 2001 J. Mol. Str. (Theochem) 547 233
[52]	Yevseyev A V, Radtsig A A, Smirnov B M 1982 J. Phys. B: At. Mol. Phys. 15 4437
[53]	Kihara T, Taylor M H, Hirschfelder J O 1960 Phys. Fluids 3 715
[54]	Mehrdad A, Constantine E T 2005 Atom. Data Nucl. Data Tables 91 8
[55]	Itikawa Y 2009 J. Phys. Chem. Ref. Data 38 1
[56]	Sullivan J P, Gibson J C, Gulley R G, Buckman S J 1995 J. Phys. B 28 4319
[57]	Linert I, King G C, Zubek M 2004 J. Phys. B 37 4681
[58]	Machado L, Ribeiro E M S, Lee M T, Fujimoto M M, Brescansin L M 1999 Phys. Rev. A 60 1199
[59]	Tabata T, Shirai C T, Sataka M, Kubo H A 2006 Atom. Data Nucl. Data Tables 92 375
[60]	Muse J, Silva H, Lopes M C A, Khakoo M A 2008 J. Phys. B: At. Mol. Opt. Phys. 41 095203
[61]	Gote M, Ehrhardt H 1995 J. Phys. B: At. Mol. Opt. Phys. 28 3957
[62]	Hayashi M 1989 NATO ASI Series B 220 333
[63]	Mojarrabi M, Gulley R J, Middleton A G, Cartwright D C, Teubner P J O, Buckman S J, Brunger M J 1995 J. Phys. B 28 487
[64]	Williams J F, Allen L J 1989 J. Phys. B: At. Mol. Opt. Phys. 22 3529
[65]	Thomas L D, Nesbet R K 1975 Phys. Rev. A 12 1729
[66]	Blaha M, Davis J 1975 Phys. Rev. A 12 2319
[67]	Itikawa Y, Ichimura A 1990 J. Phys. Chem. Ref. Data 19 637
[68]	Mason E A, Munn R J 1967 Phys. Fluids 10 1827
[69]	Devoto R S 1973 Phys. Fluids 16 616
[70]	Murphy A B 2001 J. Phys. D: Appl. Phys. 34 151

[1]	Zhu Cheng, Chen Xian-Hui, Wang Cheng, Song Ming, Xia Wei-Dong. Calculation of thermodynamic properties and transport coefficients of Ar-C-Si plasma. Acta Physica Sinica, 2023, 72(12): 125202. doi: 10.7498/aps.72.20222390
[2]	Pan Zi-Han, Chen Xian-Hui, Wang Cheng, Xia Wei-Dong. Calculation of two-temperature thermodynamic and transport properties of argon-nitrogen plasma. Acta Physica Sinica, 2021, 70(8): 085201. doi: 10.7498/aps.70.20202040
[3]	Wang Zi, Ren Jie. Nonequilibrium thermal transport and thermodynamic geometry in periodically driven systems. Acta Physica Sinica, 2021, 70(23): 230503. doi: 10.7498/aps.70.20211723
[4]	He Zhi, Yu Min, Wang Qiong. Effects of multisite interaction on nonequilibrium thermodynamics of XY spin chain in a transverse filed. Acta Physica Sinica, 2019, 68(24): 240506. doi: 10.7498/aps.68.20190525
[5]	Lin Dun-Qing, Zhu Ze-Qun, Wang Zu-Jian, Xu Xue-Xiang. Quantum statistical properties of phase-type three-headed Schrodinger cat state. Acta Physica Sinica, 2017, 66(10): 104201. doi: 10.7498/aps.66.104201
[6]	Li Da-Shu, Qiu Xing-Qi, Zheng Zhi-Wei. Numerical analysis on air entrapment during droplet impacting on a wetted surface. Acta Physica Sinica, 2015, 64(22): 224704. doi: 10.7498/aps.64.224704
[7]	Chen Ji, Feng Ye-Xin, Li Xin-Zheng, Wang En-Ge. A fully quantum description of the free-energy in high pressure hydrogen. Acta Physica Sinica, 2015, 64(18): 183101. doi: 10.7498/aps.64.183101
[8]	Dong Yuan, Guo Zeng-Yuan. The modification of entropy production by heat condution in non-equilibrium thermodynamics. Acta Physica Sinica, 2012, 61(3): 030507. doi: 10.7498/aps.61.030507
[9]	Liu Xiao-Liang, Liang Liang-Wen, Xu Hui, Li Jiang. Correlation property and electronic transfer propertyof Cantor-styled artificial DNA sequence. Acta Physica Sinica, 2011, 60(7): 077201. doi: 10.7498/aps.60.077201
[10]	Yang Fei, Rong Ming-Zhe, Wu Yi, Shi Qiang, Liu Zeng-Chao, Ma Rui-Guang, Chen Sheng. Numerical and experimental study of air arc splitting process considering splitter plate erosion. Acta Physica Sinica, 2011, 60(5): 055208. doi: 10.7498/aps.60.055208
[11]	Li Wen-Feng, Linghu Rong-Feng, Cheng Xin-Lu, Yang Xiang-Dong. Theoretical calculation of integral cross sections of rotational excitation for collisions in isotopes of He atom with Na2 molecule. Acta Physica Sinica, 2010, 59(7): 4591-4597. doi: 10.7498/aps.59.4591
[12]	Liu Xiao-Liang, Huang Xiao-Mei, Xu Hui, Ren Yi. The statistical properties and electronic transfer coefficients of Fibonacci sequence. Acta Physica Sinica, 2010, 59(6): 4202-4210. doi: 10.7498/aps.59.4202
[13]	Tang Xian-Zhu, Peng Zeng-Hui, Liu Yong-Gang, Lu Xing-Hai, Xuan Li. The influence of thermodynamic equilibrium state prior to the phase transition on the alignment of ferroelectric liquid crystal. Acta Physica Sinica, 2010, 59(9): 6261-6265. doi: 10.7498/aps.59.6261
[14]	Li Ti-Jun. Integration over entangled state projective operators. Acta Physica Sinica, 2009, 58(6): 3665-3669. doi: 10.7498/aps.58.3665
[15]	Wang Bin, Feng Hao, Sun Wei-Guo, Zeng Yang-Yang, Dai Wei. Vibrational excitation integrated cross sections of e-H2 scattering. Acta Physica Sinica, 2009, 58(10): 6932-6937. doi: 10.7498/aps.58.6932
[16]	Wu Yi, Rong Ming-Zhe, Yang Fei, Wang Xiao-Hua, Ma Qiang, Wang Wei-Zong. Introduction of 6-band P-1 radiation model for numerical analysis of three-dimensional air arc plasma. Acta Physica Sinica, 2008, 57(9): 5761-5767. doi: 10.7498/aps.57.5761
[17]	Wang Hong-Yan, Duan Wen-Shan. Theoretical investigation of properties of soliton in hot dusty plasma with non-thermal ions. Acta Physica Sinica, 2007, 56(7): 3977-3983. doi: 10.7498/aps.56.3977
[18]	Shen Hui-Chuan. Application of analytical thermodynamics: relativistic transformation of temperature in equilibrium thermodynamics. Acta Physica Sinica, 2005, 54(6): 2482-2488. doi: 10.7498/aps.54.2482
[19]	. . Acta Physica Sinica, 1964, 20(10): 1061-1066. doi: 10.7498/aps.20.1061
[20]	CHENG KAI-CHIA. A THERMODYNAMICAL STUDY OF INTERNAL FRICTION. Acta Physica Sinica, 1955, 11(2): 163-178. doi: 10.7498/aps.11.163

Catalog

Vol. 61, Issue 10 - 2012-05-20

Metrics

Abstract views: 9012
PDF Downloads: 1300
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板