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原子间相互作用势是预测惰性气体输运性质的必要输入条件. 文章对描述惰性气体原子间相互作用的Lennard-Jones势、指数排斥势、Hartree-Fock-Dispersion-B (HFD-B)势和唯象势的形式和特点进行了分析. 基于Chapman-Enskog方法, 计算得到了惰性气体在300–5000 K温度区间内基于四种原子相互作用势的黏性和热导率, 并与文献报道的实验和理论计算结果进行了比较. 研究结果表明, 基于Hartree-Fock排斥理论与色散理论发展起来的HFD-B势能够合理反映惰性气体原子相互作用的趋势与特征, 因而可以较好地预测惰性气体的宏观输运性质.
[1] Chapman S, Cowling T G 1970 The Mathematical Theory of Non-uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases (Cambridge: Cambridge University Press)
[2] Hirschfelder J O, Curtiss C F, Bird R B 1954 Molecular Theory of Gases and Liquids (New York: John Wiley and Sons, Inc)
[3] Pirani F, Albertı M, Castro A, Teixidor M M, Cappelletti D 2004 Chem. Phys. Lett. 394 37
[4] Maitland G C, Rigby M, Smith E B, Wakeham W A 1981 Intermolecular Forces: Their Origin and Determination (Oxford: Clarendon Press)
[5] Amdur I, Harkness A L 1954 J. Chem. Phys. 22 664
[6] Amdur I, Mason E A 1954 J. Chem. Phys. 22 670
[7] Amdur I, Mason E A 1955 J. Chem. Phys. 23 2268
[8] Amdur I, Mason E A 1955 J. Chem. Phys. 23 415
[9] Amdur I, Mason E A 1956 J. Chem. Phys. 25 624
[10] Jones J E 1924 Proc. Royal Soc. London Series A 106 46
[11] Murphy A B 1995 Plasma Chem. Plasma P 15 279
[12] Aziz R A, Nain V P S, Carley J S, Taylor W L, McConville G T 1979 J. Chem. Phys. 70 4330
[13] Aziz R A, Meath W J, Allnatt A R 1983 Chem. Phys. 78 295
[14] Aziz R A, Slaman M J 1989 Chem. Phys. 130 187
[15] Aziz R A 1976 J. Chem. Phys. 65 490
[16] Aziz R A 1993 J. Chem. Phys. 99 4518
[17] Devoto R S, Li C P 1968 J. Plasma Phys. 2 17
[18] Kannappan D, Bose T K 1980 Phys. Fluids 23 1473
[19] Aubreton J, Elchinger M F, Rat V, Fauchais P 2004 J. Phys. D: Appl. Phys. 37 34
[20] Wang H X, Sun S R, Chen S Q 2012 Acta Phys. Sin. 61 195203 (in Chinese) [王海兴, 孙素蓉, 陈士强 2012 物理学报 61 195203]
[21] Murphy A B 1997 IEEE Trans. Plasma Sci. 25 809
[22] Devoto R S 1969 AIAA J. 7 199
[23] Murphy A B, Tam E 2014 J. Phys. D: Appl. Phys. 47 295202
[24] Bose T K 1988 Prog. Aerosp. Sci. 25 1
[25] Amdur I, Mason E A 1958 Phys. Fluids 1 370
[26] Monchick L 1959 Phys. Fluids 2 695
[27] Liuti G, Pirani F 1985 Chem. Phys. Lett. 122 245
[28] Cambi R, Cappelletti D, Liuti G, Pirani F 1991 J. Chem. Phys. 95 1852
[29] Bruno D, Catalfamo C, Capitelli M, Colonna G, Pascale O De, Diomede P, Gorse C, Laricchiuta A, Longo S, Giordano D, Pirani F 2010 Phys. Plasmas 17 112315
[30] Capitelli M, Cappelletti D, Colonna G, Gorse C, Laricchiuta A, Liuti G, Longo S, Pirani F 2007 Chem. Phys. 338 62
[31] Ahlrichs R, Penco R, Scoles G 1977 Chem. Phys. 19 119
[32] Hepburn J, Scoles G, Penco R A 1975 Chem. Phys. Lett. 36 451
[33] Aziz R A, Chen H H 1977 J. Chem. Phys. 67 5719
[34] Tang K T, Norbeck J M, Certain P R 1976 J. Chem. Phys. 64 3063
[35] Douketis C, Scoles G, Marchetti S, Zen M, Thakkar A J 1982 J. Chem. Phys. 76 3057
[36] Song B, Wang X P, Wu J T, Liu Z G 2011 Acta Phys. Sin. 60 033401 (in Chinese) [宋渤, 王晓坡, 吴江涛, 刘志刚 2011 物理学报 60 033401]
[37] Aziz R A, Janzen A R, Moldover M R 1995 Phys. Rev. Lett. 74 1586
[38] Aziz R A, Slaman M J 1986 Mol. Phys. 58 679
[39] Aziz R A, Slaman M J 1986 Mol. Phys. 57 825
[40] Hirschfelder J O, Taylor M H, Kihara T, Rutherford R 1961 Phys. Fluids 4 663
[41] Miller E J, Sandler S I 1973 Phys. Fluids 16 491
[42] Sandler S I, Mason E A 1969 Phys. Fluids 12 71
[43] Mason E A 1957 J. Chem. Phys. 27 75
[44] Curtiss C F, Hirschfelder J O 1949 J. Chem. Phys. 17 550
[45] Devoto R S 1973 Phys. Fluids 16 616
[46] Devoto R S 1966 Phys. Fluids 9 1230
[47] Ghorui S, Heberlein J V R, Pfender E 2008 Plasma Chem. Plasma P 28 553
[48] Ghorui S, Heberlein J V R, Pfender E 2007 Plasma Chem. Plasma P 27 267
[49] Murphy A B 2000 Plasma Chem. Plasma P 20 279
[50] Dawe R A, Smith E B 1970 J. Chem. Phys. 52 693
[51] Maitland G C, Smith E B 1972 J. Chem. Eng. Data 17 150
[52] Jody B J, Saxena S C, Nain V P S, Aziz R A 1977 Chem. Phys. 22 53
[53] Bich E, Millat J, Vogel E 1990 J. Phys. Chem. Ref. Data 19 1289
[54] Kestin J, Knierim K, Mason E A, Najafi B, Ro S T, Waldman M 1984 J. Phys. Chem. Ref. Data 13 229
[55] Jain P C, Saxena S C 1974 J. Phys. E: Sci. Instrum. 7 1023
[56] Guevara F A, McInteer B B, Wageman W E 1969 Phys. Fluids 12 2493
[57] Murphy A B, Arundell C J 1994 Plasma Chem. Plasma P 14 451
[58] Saxena V K, Saxena S C 1968 Chem. Phys. Lett. 2 44
[59] Chen S H P, Saxena S C 1975 Mol. Phys. 29 455
[60] Nain V P S, Aziz R A, Jain P C, Saxena S C 1976 J. Chem. Phys. 65 3242
[61] Saxena V K, Saxena S C 1969 J. Chem. Phys. 51 3361
[62] Goldblatt M, Wageman W E 1971 Phys. Fluids 14 1024
[63] London F 1930 Quantum 10
[64] London F 1937 Trans. Faraday Soc. 33 8b
-
[1] Chapman S, Cowling T G 1970 The Mathematical Theory of Non-uniform Gases: An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases (Cambridge: Cambridge University Press)
[2] Hirschfelder J O, Curtiss C F, Bird R B 1954 Molecular Theory of Gases and Liquids (New York: John Wiley and Sons, Inc)
[3] Pirani F, Albertı M, Castro A, Teixidor M M, Cappelletti D 2004 Chem. Phys. Lett. 394 37
[4] Maitland G C, Rigby M, Smith E B, Wakeham W A 1981 Intermolecular Forces: Their Origin and Determination (Oxford: Clarendon Press)
[5] Amdur I, Harkness A L 1954 J. Chem. Phys. 22 664
[6] Amdur I, Mason E A 1954 J. Chem. Phys. 22 670
[7] Amdur I, Mason E A 1955 J. Chem. Phys. 23 2268
[8] Amdur I, Mason E A 1955 J. Chem. Phys. 23 415
[9] Amdur I, Mason E A 1956 J. Chem. Phys. 25 624
[10] Jones J E 1924 Proc. Royal Soc. London Series A 106 46
[11] Murphy A B 1995 Plasma Chem. Plasma P 15 279
[12] Aziz R A, Nain V P S, Carley J S, Taylor W L, McConville G T 1979 J. Chem. Phys. 70 4330
[13] Aziz R A, Meath W J, Allnatt A R 1983 Chem. Phys. 78 295
[14] Aziz R A, Slaman M J 1989 Chem. Phys. 130 187
[15] Aziz R A 1976 J. Chem. Phys. 65 490
[16] Aziz R A 1993 J. Chem. Phys. 99 4518
[17] Devoto R S, Li C P 1968 J. Plasma Phys. 2 17
[18] Kannappan D, Bose T K 1980 Phys. Fluids 23 1473
[19] Aubreton J, Elchinger M F, Rat V, Fauchais P 2004 J. Phys. D: Appl. Phys. 37 34
[20] Wang H X, Sun S R, Chen S Q 2012 Acta Phys. Sin. 61 195203 (in Chinese) [王海兴, 孙素蓉, 陈士强 2012 物理学报 61 195203]
[21] Murphy A B 1997 IEEE Trans. Plasma Sci. 25 809
[22] Devoto R S 1969 AIAA J. 7 199
[23] Murphy A B, Tam E 2014 J. Phys. D: Appl. Phys. 47 295202
[24] Bose T K 1988 Prog. Aerosp. Sci. 25 1
[25] Amdur I, Mason E A 1958 Phys. Fluids 1 370
[26] Monchick L 1959 Phys. Fluids 2 695
[27] Liuti G, Pirani F 1985 Chem. Phys. Lett. 122 245
[28] Cambi R, Cappelletti D, Liuti G, Pirani F 1991 J. Chem. Phys. 95 1852
[29] Bruno D, Catalfamo C, Capitelli M, Colonna G, Pascale O De, Diomede P, Gorse C, Laricchiuta A, Longo S, Giordano D, Pirani F 2010 Phys. Plasmas 17 112315
[30] Capitelli M, Cappelletti D, Colonna G, Gorse C, Laricchiuta A, Liuti G, Longo S, Pirani F 2007 Chem. Phys. 338 62
[31] Ahlrichs R, Penco R, Scoles G 1977 Chem. Phys. 19 119
[32] Hepburn J, Scoles G, Penco R A 1975 Chem. Phys. Lett. 36 451
[33] Aziz R A, Chen H H 1977 J. Chem. Phys. 67 5719
[34] Tang K T, Norbeck J M, Certain P R 1976 J. Chem. Phys. 64 3063
[35] Douketis C, Scoles G, Marchetti S, Zen M, Thakkar A J 1982 J. Chem. Phys. 76 3057
[36] Song B, Wang X P, Wu J T, Liu Z G 2011 Acta Phys. Sin. 60 033401 (in Chinese) [宋渤, 王晓坡, 吴江涛, 刘志刚 2011 物理学报 60 033401]
[37] Aziz R A, Janzen A R, Moldover M R 1995 Phys. Rev. Lett. 74 1586
[38] Aziz R A, Slaman M J 1986 Mol. Phys. 58 679
[39] Aziz R A, Slaman M J 1986 Mol. Phys. 57 825
[40] Hirschfelder J O, Taylor M H, Kihara T, Rutherford R 1961 Phys. Fluids 4 663
[41] Miller E J, Sandler S I 1973 Phys. Fluids 16 491
[42] Sandler S I, Mason E A 1969 Phys. Fluids 12 71
[43] Mason E A 1957 J. Chem. Phys. 27 75
[44] Curtiss C F, Hirschfelder J O 1949 J. Chem. Phys. 17 550
[45] Devoto R S 1973 Phys. Fluids 16 616
[46] Devoto R S 1966 Phys. Fluids 9 1230
[47] Ghorui S, Heberlein J V R, Pfender E 2008 Plasma Chem. Plasma P 28 553
[48] Ghorui S, Heberlein J V R, Pfender E 2007 Plasma Chem. Plasma P 27 267
[49] Murphy A B 2000 Plasma Chem. Plasma P 20 279
[50] Dawe R A, Smith E B 1970 J. Chem. Phys. 52 693
[51] Maitland G C, Smith E B 1972 J. Chem. Eng. Data 17 150
[52] Jody B J, Saxena S C, Nain V P S, Aziz R A 1977 Chem. Phys. 22 53
[53] Bich E, Millat J, Vogel E 1990 J. Phys. Chem. Ref. Data 19 1289
[54] Kestin J, Knierim K, Mason E A, Najafi B, Ro S T, Waldman M 1984 J. Phys. Chem. Ref. Data 13 229
[55] Jain P C, Saxena S C 1974 J. Phys. E: Sci. Instrum. 7 1023
[56] Guevara F A, McInteer B B, Wageman W E 1969 Phys. Fluids 12 2493
[57] Murphy A B, Arundell C J 1994 Plasma Chem. Plasma P 14 451
[58] Saxena V K, Saxena S C 1968 Chem. Phys. Lett. 2 44
[59] Chen S H P, Saxena S C 1975 Mol. Phys. 29 455
[60] Nain V P S, Aziz R A, Jain P C, Saxena S C 1976 J. Chem. Phys. 65 3242
[61] Saxena V K, Saxena S C 1969 J. Chem. Phys. 51 3361
[62] Goldblatt M, Wageman W E 1971 Phys. Fluids 14 1024
[63] London F 1930 Quantum 10
[64] London F 1937 Trans. Faraday Soc. 33 8b
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