局域热力学平衡态空气电弧等离子体输运参数计算研究

王伟宗; 吴翊; 荣命哲; 杨飞

doi:10.7498/aps.61.105201

摘要

空气电弧等离子体的物性参数为空气电弧放电过程的仿真提供了可靠的微观理论基础和参数输入. 假定体系处于局域热力学平衡态, 基于Chapman-Enskog理论, 采用Sonine多项式三级展开(对黏滞系数采用二级展开) 得到的输运参数表达式, 数值计算得到了不同气压条件下(0.1 atm20 atm, 1 atm = 1.01325105 Pa)、不同温度范围内(30030000 K) 空气电弧等离子体的输运参数(扩散系数、黏滞系数、热导率、电导率). 与以往的理论研究相比, 最新的相互作用势和碰撞截面研究成果被应用到涉及粒子的碰撞积分计算中, 提高了输运参数计算结果的精度和可靠性.

关键词:

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:

作者及机构信息

1.
西安交通大学电气工程学院, 电力设备电气绝缘国家重点实验室, 西安 710049;

2.
英国利物浦大学电机工程与电子系, 英国, 英格兰利物浦 L69 3GJ

基金项目: 国家自然科学基金(批准号: 51177124)、国家自然科学青年科学基金项目(批准号: 51007072)和教育部博士点优选基金(批准号: 20110201130006) 资助的课题.

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).

参考文献

[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 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 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 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 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

施引文献

[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 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 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 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 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]	朱诚, 陈仙辉, 王城, 宋明, 夏维东. 氩-碳-硅等离子体热力学性质和输运系数计算. , 2023, 72(12): 125202. doi: 10.7498/aps.72.20222390
[2]	潘子晗, 陈仙辉, 王城, 夏维东. 双温度氩-氮等离子体热力学和输运性质计算. , 2021, 70(8): 085201. doi: 10.7498/aps.70.20202040
[3]	王子, 任捷. 周期驱动系统的非平衡热输运与热力学几何. , 2021, 70(23): 230503. doi: 10.7498/aps.70.20211723
[4]	贺志, 余敏, 王琼. 多格点相互作用对横向磁场作用下XY型自旋链中非平衡态热力学性质的影响. , 2019, 68(24): 240506. doi: 10.7498/aps.68.20190525
[5]	林惇庆, 朱泽群, 王祖俭, 徐学翔. 相位型三头薛定谔猫态的量子统计属性. , 2017, 66(10): 104201. doi: 10.7498/aps.66.104201
[6]	李大树, 仇性启, 郑志伟. 液滴碰撞液膜润湿壁面空气夹带数值分析. , 2015, 64(22): 224704. doi: 10.7498/aps.64.224704
[7]	陈基, 冯页新, 李新征, 王恩哥. 基于路径积分分子动力学与热力学积分方法的高压氢自由能计算. , 2015, 64(18): 183101. doi: 10.7498/aps.64.183101
[8]	董源, 过增元. 非平衡热力学中传热过程熵产表达式的修正. , 2012, 61(3): 030507. doi: 10.7498/aps.61.030507
[9]	刘小良, 梁亮文, 徐慧, 李江. Cantor型人工DNA序列的关联属性及输运性质. , 2011, 60(7): 077201. doi: 10.7498/aps.60.077201
[10]	杨飞, 荣命哲, 吴翊, 史强, 刘增超, 马瑞光, 陈胜. 考虑栅片烧蚀金属蒸气的栅片切割空气电弧仿真与实验研究. , 2011, 60(5): 055208. doi: 10.7498/aps.60.055208
[11]	李文峰, 令狐荣锋, 程新路, 杨向东. 氦同位素原子与钠分子碰撞转动激发积分散射截面的理论计算. , 2010, 59(7): 4591-4597. doi: 10.7498/aps.59.4591
[12]	刘小良, 黄晓梅, 徐慧, 任意. Fibonacci序列的统计属性和电子输运系数. , 2010, 59(6): 4202-4210. doi: 10.7498/aps.59.4202
[13]	唐先柱, 彭增辉, 刘永刚, 鲁兴海, 宣丽. 相变前的热力学平衡态对铁电液晶排列的影响. , 2010, 59(9): 6261-6265. doi: 10.7498/aps.59.6261
[14]	李体俊. 纠缠态投影算符的积分. , 2009, 58(6): 3665-3669. doi: 10.7498/aps.58.3665
[15]	王斌, 冯灏, 孙卫国, 曾阳阳, 戴伟. 低能电子与氢分子碰撞的振动激发积分散射截面的研究. , 2009, 58(10): 6932-6937. doi: 10.7498/aps.58.6932
[16]	吴翊, 荣命哲, 杨飞, 王小华, 马强, 王伟宗. 引入6波段P-1辐射模型的三维空气电弧等离子体数值分析. , 2008, 57(9): 5761-5767. doi: 10.7498/aps.57.5761
[17]	王红艳, 段文山. 对含有非热力学平衡离子的尘埃等离子体中孤波特性的理论研究. , 2007, 56(7): 3977-3983. doi: 10.7498/aps.56.3977
[18]	沈惠川. 分析热力学的应用：平衡态热力学中温度的相对论变换. , 2005, 54(6): 2482-2488. doi: 10.7498/aps.54.2482
[19]	钱俭. 关于混合气体输运理论中的积分方程组的研究. , 1964, 20(10): 1061-1066. doi: 10.7498/aps.20.1061
[20]	程开甲. 内耗的热力学研究(Ⅰ). , 1955, 11(2): 163-178. doi: 10.7498/aps.11.163

计量

文章访问数: 9085
PDF下载量: 1305
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板