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The European Physical Journal D

, Volume 57, Issue 2, pp 227–234 | Cite as

Transport coefficients in thermal plasma. Applications to Mars and Titan atmospheres

  • P. AndréEmail author
  • J. Aubreton
  • S. Clain
  • M. Dudeck
  • E. Duffour
  • M. F. Elchinger
  • B. Izrar
  • D. Rochette
  • R. Touzani
  • D. Vacher
Plasma Physics

Abstract

This work is a contribution to the calculation of transport coefficients for nitrogen, hydrogen, Mars and Titan atmospheres plasmas. The calculation which assumes local thermodynamic equilibrium is performed using Lennard-Jones potential and simple combining rules for the potential parameters for neutral-neutral interaction. A discussion is made for the other interactions: neutral-charged, charged-charged and electron-neutral. The results are compared with those of published theoretical studies for a temperature up to 30 000 K.

Keywords

Thermal Plasma Hydrogen Plasma Average Cross Section Nitrogen Plasma Collision Integral 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. C. Trassy, Spectrosc. Eur. 8, 20 (1996) Google Scholar
  2. C. Trassy, R. Diemiaszonek, J. Anal. At. Spectrom. 10, 661 (1995) Google Scholar
  3. A.M. Gomés, J.P. Sarrette, L. Madon, A. Almi, Spectrochim. Acta B 51, 1695 (1996) Google Scholar
  4. M.D. Seltzer., G.A. Meyer, Environ. Sci. Technol. 31, 2665 (1997) Google Scholar
  5. P.W.J Boumans, Inductively Coupled Plasma Emission Spectroscopy Applications and Fundamentals (John Wiley and Sons, New York, 1987) Google Scholar
  6. C. Trassy, J.M. Mermet, Les applications analytiques des plasmas HF, Technique et Documentation (Lavoisier, France, 1984) Google Scholar
  7. G. Herdrich, M. Auweter-Kurtz, Inductively heated plasma sources for technical applications 80, 1138 (2006) Google Scholar
  8. J.M. Lamet, Y. Babou, P. Rivière, M.Y. Perrin, A. Soufiani, J. Quant. Spectr. Rad. Trans. 109, 235 (2008) Google Scholar
  9. M. Lino da Silva, V. Guerra, J. Loureiro, M. Dudeck, Perspectives on the development of accurate nonequilibrium radiation models for planetary atmospheric entries, in Proceedings of the second workshop on Radiation of High Temperature Gases in Atmospheric Entry (ESA SP-587, Porquerolles, France, 2004) Google Scholar
  10. M. Lino da Silva, M. Dudeck, R. Reis, Aerothermodynamics and ground test facilities simulation of planetary entry flows-application to earth, Mars and Titan atmospheric entries, in Proceedings international worshop, Planetary Probe Atmospheric Entry and Descent trajectory Analysis and Science (ESA SP-544, Lisbonne, Portugal, 2003) Google Scholar
  11. D. Vacher, M. Lino da Silva, P. André, G. Faure, M. Dudeck, Plasma Sources Sci. Technol. 17, 035012 (2008) Google Scholar
  12. M. Lino da Silva, D. Vacher, M. Dudeck, P. André, G. Faure, Plasma Sources Sci. Technol. 17, 035013 (2008) Google Scholar
  13. D. Vacher, P. André, M. Lino da Silva, M. Dudeck, G. Faure, Definition of a New Level One Test Case Measurements of Equilibrium Radiation from an Inductively Coupled Plasma in the near-UV to near-IR spectral region for a Titan-type N2-CH4 Mixture. Preliminary results, in Proceedings of the 3rd International Workshop on Radiation of High Temperature Gases in Atmospheric Entry (ESA, SP-667, Heraklion, Greece, 2008) Google Scholar
  14. D. Vacher, P. André, M. Dudeck, Overview on studies of martian like CO2-N2 mixture by inductively coupled plasma torch, in Proceedings of the 3rd International Workshop on Radiation of High Temperature Gases in Atmospheric Entry (ESA, SP-667, Heraklion, Greece, 2008) Google Scholar
  15. C. Park, Nonequilibrium Air Radiation NEQAIR Program: User’s Manual, NASA TM 86707 Ames Research Center, Mof- fet Field, Calif., 1985 Google Scholar
  16. S.A. Vasil’evskii, A.F. Kolesnikov, Fluid Dynamics 32, 769 (2000) Google Scholar
  17. A. Gaillat, R.M. Barnes, P. Proulx, M.I. Boulos, Spectrochim. Acta B 50, 1187 (1995) Google Scholar
  18. Y. Tanaka, N. Yamachi, S. Matsumoto, S. Kaneko, S. Okabe, M. Shibuya, Elect. Eng. Jpn 163, 18 (2008) Google Scholar
  19. C. Catalfamo, D. Bruno, G. Colonna, A. Laricchiuta, M. Capitelli, Eur. Phys. J. D 54, 613 (2009) Google Scholar
  20. J. Aubreton, M.F. Elchinger, A. Hacala, U. Michon, J. Phys. D: Appl. Phys. 42, (2009) Google Scholar
  21. A. Laricchiuta, D. Bruno, M. Capitelli, C. Catalfamo, R. Celiberto, G. Colonna, P. Diomede, D. Giordano, C. Gorse, S. Longo, D. Pagano, F. Pirani, Eur. Phys. J. D 54, 607 (2009) Google Scholar
  22. M. Capitelli, D. Cappelletti, G. Colonna, C. Gorse, A. Laricchiuta, G. Liuti, S. Longo, F. Pirani, Chem. Phys. 338, 62 (2007) Google Scholar
  23. A. Laricchiuta, G. Colonna, C. Gorse, R. Celiberto, F. Pirani, M. Capitelli, Chem. Phys. Lett. 445, 133 (2007) Google Scholar
  24. V.V. Riabov, J. Thermophys. Heat Transfer 10, 209 (1996) Google Scholar
  25. P. Kovitya, IEEE Trans. Plasma Sci. 1, 38 (1984) Google Scholar
  26. M. Abbaoui, Z. Koalaga, A. Lefort, Canadian J. Phys. 70, 1291 (1992) Google Scholar
  27. P. André, L. Brunet, W. Bussière, J. Caillard, J.M. Lombard, J.P. Picard, Eur. Phys. J. Appl. Phys. 25, 169 (2004) Google Scholar
  28. P.H. Teulet, J.J. Gonzalez, A. Mercado-Cabrera, Y. Cressault, A. Gleizes, J. Phys. D: Appl. Phys. 42, 175201 (2009) Google Scholar
  29. B. Sourd, J. Aubreton, M.-F. Elchinger, M. Labrot, U. Michon, J. Phys. D: Appl. Phys. 39, 1105 (2006) Google Scholar
  30. K. Kappen, Berechnung der Materialfunktionen von Hochdruckplasmen am Beispiel von Methanol (Technische Universität München, Lehrstuhl, 1994) Google Scholar
  31. R.J. Kee, G.D. Lewis, J. Warnatz, M.E. Coltrin, J.A. Miller, H.K. Moffat, A Fortran Computer code Package for the evaluation of Gas-Phase, Multicomponent Transport Properties (Supercedes SAND86-8246B, 1998) http://www.osc.edu/PET/CCM/skeleton/software/chemkin/transport.pdf Google Scholar
  32. E. Duffour, Molecular dynamic simulations of the collision between copper ions, SF6 molecules and a polyethylene surface: a study of the products of decomposition and an evaluation of the self diffusion coefficients, accepted in Macromolecular Theory Simulation Google Scholar
  33. D.V. Kotov, S.T. Surzhikov, Molecular Dynamics Simulation of Dissociation and Relaxation Rates of Diatomic Molecules, in Proceedings of the 3rd International Workshop on Radiation of High Temperature Gases in Atmospheric Entry (ESA, SP-667, Heraklion, Greece, 2008) Google Scholar
  34. M.J. Wright, D. Bose, G.E. Palmer, E. Levin, AIAA J. 43, 2558 (2005) Google Scholar
  35. R. Stallcop, H. Partridge, E. Levin, Phys. Rev. A 64, 042722 (2001) Google Scholar
  36. M.J. Wright, H.H. Hwang, D.W. Schwenke, AIAA 45, 281 (2007) Google Scholar
  37. J.O. Hirschfelder, C.F. Curtiss, R. Byron Bird, Molecular theory of gases and liquids (Wiley, New York, 1964) Google Scholar
  38. Z. Koalaga, Contribution à l’étude expérimentale et théorique des plasmas d’arcs électriques laminés, Ph.D. Thesis (Université Blaise Pascal, France, 1991) Google Scholar
  39. A.B. Murphy, C.J. Arundell, PCPP 14, 451 (1994) Google Scholar
  40. M. Capitelli, R.S. Devoto, Phys. Fluids 16, 1835 (1973) Google Scholar
  41. A.V. Kosarim, B.M. Smirnov, J. Exp. Theor. Phys. 101, 611 (2005) Google Scholar
  42. A.V. Kosarim, B.M. Smirnov, M. Capitelli, R. Celiberto, A. Laricchiuta, Phys. Rev. A 74, 0627071 (2006) Google Scholar
  43. G. McBride, Computer Program for Calculation of Complex Chemical Equilibrium Compositions, Rocket Performance, Incident and Reflected Shocks, and Chapman-Jouguet Detonations (NASA SP-273, 1976) Google Scholar
  44. D. Rochette, W. Bussière, P. André, Plasma Chem. Plasma Proc. 24, 475 (2004) Google Scholar
  45. K.S. Drellishak, D.P. Aeschliman, A. Bulent Camber, Phys. Fluids 8, 1590 (1965) Google Scholar
  46. K.P. Huber, G. Herzberg, Molecular Spectra and Molecular Structure IV. Constants of Diatomic Molecules (Van Nostrand Reinhold Co., 1979) Google Scholar
  47. C.E. Moore, Atomic Energy Levels, circular of the national bureau of standards (Washington, 1971), Vol I and III Google Scholar
  48. NIST Database 61, Database for Atomic Spectroscopy, (DAS), National Institute of Standards and Technology, http://physics.nist.gov Google Scholar
  49. H.G. FRS, Molecular Spectra and Molecular Structure I. Spectra of Diatomic Molecules, 2nd edn. (D. Van Nostrand Company, Inc., Princeton, 1950) Google Scholar
  50. L.V. Gurvich, I.V. Veyts, C.B. Alcock, Thermodynamic Properties of Individual Subtances, 4th edn. (Hemisphere publishing corporation, 1991) Google Scholar
  51. I. Barin, Thermochemical Data of Pure Substances (VCH, Germany, 1993) Google Scholar
  52. JANAF, Thermochemical tables, edited by M.W. Chases, 4th edn., J. Phys. Chem. Ref. Data, 9 (1998) Google Scholar
  53. S. Chapmann, T.G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd edn. (Wiley, New York, 1964) Google Scholar
  54. C. Bonnefoi, Contribution au calcul théorique des coefficients de transport d’un plasma d’azote par la méthode de Chapman-Enskog à la 4e approximation, Ph.D. Thesis (Université de Limoges, France, 1975) Google Scholar
  55. J.T. Vanderslice, S. Weismann, E.A. Mason, R.J. Fallon, Phys. Fluids 5, 155 (1962) Google Scholar
  56. R.S. Devoto, Phys. Fluids 10, 2105 (1967) Google Scholar
  57. J.N. Butler, R.S. Brokaw, J. Chem. Phys. 26, 1636 (1957) Google Scholar
  58. C. Muckenfus, C.F. Curtiss, J. Chem. Phys. 29, 1273 (1958) Google Scholar
  59. H.M. Hulbert, J.O. Hirschfelder, J. Chem. Phys. 9, 61 (1941) Google Scholar
  60. H.M. Hulbert, J.O. Hirschfelder, J. Chem. Phys. 35, 1901 (1961) Google Scholar
  61. J. Aubreton, P. Fauchais, Rev. Phys. Appl. 18, 51 (1983) Google Scholar
  62. B. Sourd, P. André, J. Aubreton, M.F. Elchinger, PCPP 27, 35 (2007) Google Scholar
  63. B. Sourd, P. André, J. Aubreton, M.F. Elchinger, PCPP 27, 225 (2007) Google Scholar
  64. P. André, W. Bussière, D. Rochette, PCPP 27, 381 (2007) Google Scholar
  65. M. Capitelli, C. Gorse, S. Longo, D. Giordano: J. Thermophys. Heat Trans. 14, 259 (2000) Google Scholar
  66. M. Klein, F. Smith, J. Res Nat. Bureau Stand-A Phys. Chem. A 72, 359 (1968) Google Scholar
  67. H. Abdelhakin, J.P. Dinguirard, S. Vacquie, J. Phys D: Appl. Phys. 13, 1427 (1980) Google Scholar
  68. A.B. Murphy, PCPP 15, 279 (1995) Google Scholar
  69. M.I. Boulos, P. Fauchais, E. Pfender, Thermal Plasmas (Plenum Press, New York, 1994) Google Scholar
  70. M. Capitelli, R. Celiberto, C. Gorse, A. Laricchiuta, D. Pagano, P. Traversa, Phys. Rev. E 69, 026412 (2004) Google Scholar
  71. P. Kovitya, IEEE Trans. Plasma Sci. 13, 587 (1985) Google Scholar
  72. A.B. Murphy, PCPP 20, 279 (2000) Google Scholar
  73. A. Dalgarno, Phil. Trans. Roy. Soc. London 250, 426 (1958) Google Scholar
  74. R.S. Devoto, Phys. Fluids 10, 354 (1967) Google Scholar
  75. V.A. Belyaev, B.G. Brezhnev, E.M. Erastov, Sov. Phys. JETP 27, 924 (1968) Google Scholar
  76. E.I. Asinovsky, A.V. Kirillin, E.P. Pakhomonov, V.I. Shabashov, Proc IEEE 59, 592 (1971) Google Scholar
  77. J. Aubreton, Étude des propriétés thermodynamiques et de transport dans des plasmas thermiques à l’équilibre et hors d’équilibre thermodynamiques : applications aux plasmas de mélange Ar-H2 et Ar-O2, Ph.D. Thesis (Université de Limoges, France, 1985) Google Scholar
  78. Handbook of Chemistry and Physics, edited by D.R. Lyde, 82nd edn. (CRC Press, 2001-2002) Google Scholar
  79. T. Kihara, M.H. Taylor, J.O. Hirschfelder, Phys. Fluids 3, 715 (1960) Google Scholar
  80. M. Capitelli, Transport Properties of Partially Ionized Gases, Journal de Physique, Colloque (1977), pp. 227-237 Google Scholar
  81. E.E. Nikitin, B.M. Smirnov, Sov. Phys. Usp. 21, 95 (1978) Google Scholar
  82. B.M. Smirnov, Phys. Usp. 44, 221 (2001) Google Scholar
  83. Y. Babou, P. Rivière, M.Y. Perrin, A. Soufiani, Plasma Sources Sci. Technol. 17, 045010 (2008) Google Scholar
  84. V. Rat, P. André, J. Aubreton, M.F. Elchinger, P. Fauchais, A. Lefort, Phys. Rev. E 64, 026409 (2001) Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • P. André
    • 1
    Email author
  • J. Aubreton
    • 2
  • S. Clain
    • 3
  • M. Dudeck
    • 4
  • E. Duffour
    • 1
  • M. F. Elchinger
    • 2
  • B. Izrar
    • 5
  • D. Rochette
    • 1
  • R. Touzani
    • 6
  • D. Vacher
    • 1
  1. 1.LAEPT, Blaise Pascal University, Auvergne University, Clermont UniversityAubière CedexFrance
  2. 2.SPCTS, Limoges University, CNRSLimoges CedexFrance
  3. 3.IMT, Paul Sabatier Toulouse University, CNRSToulouse Cedex 09France
  4. 4.IJLRA, Pierre et Marie Curie UniversityParis Cedex 05France
  5. 5.ICARE, Orléans University, CNRSOrléans Cedex 02France
  6. 6.LM, Blaise Pascal University, CNRS, Clermont UniversityAubière CedexFrance

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