SpringerLink
Log in

Transport Properties of Gases Under Plasma Conditions

  • Reference work entry
  • First Online:
Handbook of Thermal Plasmas

  • 1315 Accesses

Abstract

This chapter is devoted to the transport phenomena under plasma conditions. The calculation of the transport coefficients related to the elementary particles in a gas is quite complex, even in the rather simple case of ideal gases. It is therefore valuable to develop very simple approximate methods that yield physical insight into basic mechanisms. Simple approximations often lead to the correct dependence of all significant parameters (such as pressure or temperature), even if the numerical values sometimes differ by up to 50% from the results of the rigorous calculation The first part of this chapter deals with the simplest approximate method that can be used to calculate the transport properties, i.e., the elementary kinetic theory. This is followed by a more rigorous treatment of these phenomena for equilibrium plasmas and gases in complete thermodynamic equilibrium (CTE).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
EUR 29.95
Price includes VAT (Germany)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
EUR 1,069.99
Price includes VAT (Germany)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
EUR 1,176.99
Price includes VAT (Germany)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

Abbreviations

CTE:

Complete thermodynamic equilibrium

CODC:

Combined ordinary diffusion coefficient

IUPAC:

International Union of pure and applied chemistry

ISPC:

International Symposium on Plasma Chemistry

References

  • André P, Aubreton J, Clain S, Dudeck M, Duffour E, Elchinger M.F, Izrar B, Rochette D, Touzani R, Vacher D (2010) Transport coefficients in thermal plasma. Applications to Mars and Titan atmospheres. Eur Phys J D 57:227–234

    Google Scholar 

  • Athye W.F (1965) A critical evaluation of methods for calculating transport coefficients of partially and fully ionized gases. NASA TN, ND-2611

    Google Scholar 

  • Aubreton J, Fauchais P (1983) Influence des potentiels d’intéraction sur les propriétés de transport des plasmas thermiques: exemple d’application le plasma argon hydrogène à la pression atmosphérique. Revue de Physique Appliquée 18(1):51–66

    Article  Google Scholar 

  • Aubreton J, Elchinger M.F, Vinson J.M (2009a) Transport coefficients in water plasma: part I: equilibrium plasma. Plasma Chem Plasma Process 29:149–171

    Article  Google Scholar 

  • Aubreton J, Elchinger M.-F, Hacala A, Michon U (2009b) Transport coefficients of typical biomass equimolar CO–H2 plasma. J Phys D Appl Phys 42:095206 (13 pp)

    Article  Google Scholar 

  • Aubreton J, Elchinger M.F, Andre P (2013) Influence of partition function and interaction potential on transport properties of thermal plasmas. Plasma Chem Plasma Process 33:367–399

    Article  Google Scholar 

  • Bacri J, Raffanel S (1989) Calculation of transport coefficients of air plasmas. Plasma Chem Plasma Process 9(1):133–154

    Article  Google Scholar 

  • Balescu R (1988) Transport processes in plasmas, vols 1 and 2. North-Holland, Amsterdam

    Google Scholar 

  • Behringer K, Kollmar W, Mentel J (1968) Messung der Wärmeleitfähigkeit von Wasserstoff zwischen 2000 und 7000 K, Z. Physics 215(2):127–151

    Google Scholar 

  • Bottin B, Vanden Abeele D, Magin T.E, Rini P (2006) Transport properties of collision-dominated dilute perfect gas mixtures at low pressures and high temperatures. Prog Aerosp Sci 42:38–83

    Article  Google Scholar 

  • Boulos M, Fauchais P, Pfender E (1994) Thermal plasmas: fundamentals and applications, vol 1. Plenum Press, New York/London

    Book  Google Scholar 

  • Bourdin E, Boulos M, Fauchais P (1983) Transient heat conduction to a single sphere under plasma conditions. Int J Heat Mass Transf 26:567

    Article  Google Scholar 

  • Brokaw RS (1960) Thermal conductivity of gas mixtures in chemical equilibrium. J Chem Phys 32:1005

    Article  Google Scholar 

  • Butler J.N, Brokaw R.S (1957) Thermal conductivity of gas mixtures in chemical equilibrium. J Chem Phys 26:1636

    Article  Google Scholar 

  • Capitelli M (1972) Cut-off criteria of electronic partition functions and transport properties of thermal plasmas. J Plasma Phys 7(1):99–106

    Article  Google Scholar 

  • Capitelli M.J (1975) Charge transfer from low-lying excited states: effects on reactive thermal conductivity. Plasma Phys 14:365–371

    Article  Google Scholar 

  • Capitelli M, Gorse C, Fauchais P (1976) Transport coefficients of Ar-H2 high temperature. J Chem Phys 73:755

    Google Scholar 

  • Chapman S, Cowling T (1952) The mathematical theory of non-unifonn gases. Cambridge University Press, New York

    Google Scholar 

  • Chen W.L.T, Heberlein J, Pfender E (1996) Critical analysis of viscosity data of thermal argon plasmas at atmospheric pressure. Plasma Chem Plasma Process 16(4):635–650

    Article  Google Scholar 

  • Child M.S (1974) Molecular collision theory (Pub). Academic, New York

    Google Scholar 

  • Colonna G, D’Angola A, Laricchiuta A, Bruno D, Capitelli M (2013) Analytical expressions of thermodynamic and transport properties of the Martian atmosphere in a wide temperature and pressure range. Plasma Chem Plasma Process 33:401–431

    Article  Google Scholar 

  • Cressault Y, Gleizes A (2010) Calculation of diffusion coefficients in air–metal thermal plasmas. J Phys D Appl Phys 43:434006 (6 pp)

    Article  Google Scholar 

  • D’Angola A, Colonna G, Gorse C, Capitelli M (2008) Thermodynamic and transport properties in equilibrium air plasmas in a wide pressure and temperature range. Eur Phys J D 46:129–150

    Google Scholar 

  • D’Angola A, Colonna G, Bonomo A, Bruno D, Laricchiuta A, Capitelli M (2012) Phenomenological approach for the transport properties of air plasmas. Eur Phys J D 66:205

    Google Scholar 

  • Delcroix J.L, Bers A (1994) Physique des plasmas, vols 1 and 2. Inter Editions/CNRS Editions, Paris in French

    Book  Google Scholar 

  • Devoto R.S (1965) The transport properties of a partially ionized monoatomic gas. PhD thesis, Stanford University

    Google Scholar 

  • Devoto R.S (1966) Transport properties of ionized monoatomic gases. Phys Fluids 9(6):1230–1240

    Article  Google Scholar 

  • Devoto R.S (1967) Simplified expressions for the transport properties of ionized monoatomic gases. Phys Fluids 10(10):2105–2112

    Article  Google Scholar 

  • Devoto R.S (1968) Transport coefficients of partially ionized hydrogen. J Plasma Phys 2(4):617–631

    Article  Google Scholar 

  • Devoto R.S (1973) Transport coefficients of ionized argon. Phys Fluids 16:616

    Article  Google Scholar 

  • Devoto R.S, Li C.P (1968) Transport coefficients of partially ionized helium. J Plasma Phys 2(1):17–32

    Article  Google Scholar 

  • Gleizes A, Gonzalez J.J, Freton P (2005) Topical review, thermal plasma modelling. J Phys D Appl Phys 38:R153–R183

    Article  Google Scholar 

  • Gleizes A, Cressault Y, Teulet P (2010) Mixing rules for thermal plasma properties in mixtures of argon, air and metallic vapors. Plasma Sources Sci Technol 19:055013 (13 pp)

    Article  Google Scholar 

  • Gorse C (1975) Contribution au calcul des propriétés de transport des plasmas des mélanges Ar-H2 et Ar-N2, PhD, University of Limoges (in French)

    Google Scholar 

  • Hirschfelder J.O, Curtiss C.F, Bird R.B (1964) Molecular theory of gases and liquids, 2nd edn. Wiley, New York

    MATH  Google Scholar 

  • IUPAC Subcommission on Plasma Chemistry (1982) Thermodynamic and transport properties of pure and mixed thermal plasmas at LTE. Pure Appl Chem 54(6):1221–1238

    Article  Google Scholar 

  • Lesinski J, Boulos M (1990) Thermodynamic and transport properties of argon, nitrogen and oxygen at atmospheric pressure over the temperature range 300–30,000 K. Internal report, University of Sherbrooke, Quebec

    Google Scholar 

  • Levin E, Partridge H, Stallcop J.R (1989) Collision integrals and high temperature transport properties. RIACS (NASA) Tech Rep 89:43

    Google Scholar 

  • Mason EA, Monchick L (1962) Heat conductivity of polyatomic and polar gases. J Chem Phys 36:1622

    Article  Google Scholar 

  • Mason E.A, Munn R.J, Smith F.J (1967) Transport coefficients of ionized gases. Phys Fluids 10(8):1827–1832

    Article  Google Scholar 

  • Mitchner M, Kruger C.H (1973) Partially ionized gases. Wiley, New York

    Google Scholar 

  • Monchick L (1959) Collision integrals for the exponential repulsive potential. Phys Fluids 2(6):695–700

    Article  MathSciNet  MATH  Google Scholar 

  • Mostaghimi J, Pfender E (1984) Effects of metallic vapor on the properties of an argon arc plasma. Plasma Chem Plasma Process 4(2):129–139

    Article  Google Scholar 

  • Murphy A.B (1993) Diffusion in equilibrium mixtures of ionized gases. Phys Rev E 48:3594

    Article  Google Scholar 

  • Murphy A.B (1994) Erratum: diffusion in equilibrium mixtures of ionized gases (Phys. Rev. E 48, 3594 (1993)). Phys Rev E 50:5145

    Google Scholar 

  • Murphy A.B (1995) Transport coefficients of air, argon-air, nitrogen-air, and oxygen-air plasmas. Plasma Chem Plasma Process 15(2):279–307

    Article  Google Scholar 

  • Murphy A.B (1996) A comparison of treatments of diffusion in thermal plasmas. J Phys D Appl Phys 29:1922

    Article  Google Scholar 

  • Murphy A.B (1997) Transport coefficients of helium and argon-helium plasmas. IEEE Trans Plasma Sci 25(5):809–814

    Article  Google Scholar 

  • Murphy A.B (2000) Transport coefficients of hydrogen and argon–hydrogen plasmas. Plasma Chem Plasma Process 20(3):279–297

    Article  MathSciNet  Google Scholar 

  • Murphy A.B (2012) Transport coefficients of plasmas in mixtures of nitrogen and hydrogen. Chem Phys 398:64–72

    Article  Google Scholar 

  • Murphy A.B, Arundell CJ (1994) Transport coefficients of argon, nitrogen, oxygen, argon-nitrogen, and argon-oxygen plasmas. Plasma Chem Plasma Process 14(4):451–490

    Article  Google Scholar 

  • Murphy A.B, Tanaka M, Yamamoto K, Tashiro S, Sato T, Lowke J.J (2009) Review article, modelling of thermal plasmas for arc welding: the role of the shielding gas properties and of metal vapour. J Phys D Appl Phys 42:194006 (20 pp)

    Article  Google Scholar 

  • Neumann W, Sacklowski U (1968) Beitr Plasma Phys 8:57

    Article  Google Scholar 

  • Pateyron B, Aubreton J, Elchinger M.F, Delluc G, Fauchais P (1986) Thermodynamic and transport properties of N2, 02, H2, Ar, He and their mixtures, Internal report LMCTS. University of Limoges, France

    Google Scholar 

  • Pateyron B, Elchinger M.F, Delluc G, Fauchais P (1990) Thermodynamic and transport properties of air and air – Cu at atmospheric pressure. Internal report, LMCTS, University of Limoges

    Google Scholar 

  • Pateyron B, Elchinger M.F, Delluc G, Fauchais P (1992) Thermodynamic and transport properties of Ar-H2 and Ar-He plasma gases for spraying at atmospheric pressure – part 1: properties of the mixtures. Plasma Chem Plasma Process 12(4):421–448

    Article  Google Scholar 

  • Pateyron B, Calve N, Pawłowski L (2013) Influence of water and ethanol on transport properties of the jets used in suspension plasma spraying. Surf Coat Technol 220:257–260

    Article  Google Scholar 

  • Rat V, Aubreton J, Elchinger M.F, Fauchais P (2001) Calculation of combined diffusion coefficients from the simplified theory of transport properties. Plasma Chem Plasma Process 21(3):355–369

    Article  Google Scholar 

  • Reif F (1988) Fundamentals of statistical and thermal physics. McGraw Hill, New York

    Google Scholar 

  • Smith F.J, Munn R.J (1964) Automatic calculation of the transport collision integrals with tables for the Morse potential. J Chem Phys 41(11):3560–3568

    Article  Google Scholar 

  • Sourd B, André P, Aubreton J, Elchinger M.-F (2007) Influence of the excited states of atomic nitrogen N(2D), N(2P) and N(R) on the transport properties of nitrogen. Part II: nitrogen plasma properties. Plasma Chem Plasma Process 27:225–240

    Article  Google Scholar 

  • Wang W.Z, Yan JD, Rong M.Z, Murphy A.B, Spencer J.W (2012) Thermophysical properties of high temperature reacting mixtures of carbon and water in the range 400–30,000 K and 0.1–10 atm. Part 2: transport coefficients. Plasma Chem Plasma Process 32:495–518

    Article  Google Scholar 

  • Wilke C.R (1950) A viscosity equation for gas mixtures. J Chem Phys 18:517–519

    Article  Google Scholar 

  • Yokomizu Y, Ochiai R, Matsumura T (2009) Electrical and thermal conductivities of high-temperature CO2–CF3I mixture and transient conductance of residual arc during its extinction process. J Phys D Appl Phys 42:215204 (14 pp)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Chemical and Biotechnology Engineering, University of Sherbrooke, Sherbrooke, QC, Canada

    Maher I. Boulos

  2. Sciences des Procédés Céramiques et de Traitements de Surface (SPCTS), University of Limoges, Limoges, France

    Pierre L. Fauchais

  3. Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA

    Emil Pfender

Authors
  1. Maher I. Boulos
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pierre L. Fauchais
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Emil Pfender
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Maher I. Boulos .

Editor information

Editors and Affiliations

  1. Department of Chemical and Biotechnology Engineering, University of Sherbrooke, Sherbrooke, QC, Canada

    Maher I. Boulos

  2. Sciences des Procédés Céramiques et de Traitements de Surface (SPCTS), University of Limoges, Limoges, France

    Pierre L. Fauchais

  3. Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, USA

    Emil Pfender

Rights and permissions

Reprints and permissions

Copyright information

© 2023 Springer Nature Switzerland AG

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Boulos, M.I., Fauchais, P.L., Pfender, E. (2023). Transport Properties of Gases Under Plasma Conditions. In: Boulos, M.I., Fauchais, P.L., Pfender, E. (eds) Handbook of Thermal Plasmas. Springer, Cham. https://doi.org/10.1007/978-3-030-84936-8_7

Download citation

Publish with us

Policies and ethics

Search

Navigation