Skip to main content
  • 449 Accesses

Abstract

The fluid theory of two-dimensional (2-d) plasma transport in axisymmetric devices is reviewed. The forces which produce flow across the magnetic field in a collisional plasma are described. These flows may lead to up-down asymmetries in the poloidal rotation and radial fluxes. Emphasis is placed on understanding the conditions under which the known 2-d plasma fluid equations provide a valid description of these processes. Attempts to extend the fluid treatment to less collisional, turbulent plasmas are discussed. A reduction to the 1-d fluid equations used in many computer simulations is possible when sources or boundary conditions provide a large enough radial scale length. The complete 1-d fluid equations are given in the text, and 2-d fluid equations are given in the Appendix.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Sharkovsky, T. W. Johnston, and M. P. Bachyuski, The Particle Kinetics of Plasmas (Addision-Wesley, London, 1966).

    Google Scholar 

  2. D. L. Book, NRL Plasma Formulary, Naval Research Laboratory (Washington, DC, 1983).

    Google Scholar 

  3. S. I. Braginskii, ZHETF 33, 4591 (1957)

    Google Scholar 

  4. S.I. Braginskii, Sov. Phys. JETP 6, 358 (1958).

    MathSciNet  ADS  Google Scholar 

  5. S. I. Braginskii, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, NY, 1965).

    Google Scholar 

  6. C. E. Singer and W. Langer, Phys. Rev. A28, 994 (1983).

    ADS  Google Scholar 

  7. J. Neuhauser, Max Planck Institut fur Plasmaphysik, private communication (1984).

    Google Scholar 

  8. U. Daybelge, Nucl. Fusion 21, 1589 (1981).

    Article  Google Scholar 

  9. G. Fussmann, K. Behringer, K. Bernhardi, G. Haas, W. Poschenrieder, et al., “Impurity Retainment in the Divertor of ASDEX,” in Proceedings of the Eleventh European Conference on Controlled Fusion and Plasma Physics (Aachen, Germany, 1983) European Physical Society (1983), Vol. 7D, Part II, p. 373.

    Google Scholar 

  10. W. Feneberg, JET Joint Undertaking, Abingdon, Oxfordshire, England, private communication (Feb. 1984).

    Google Scholar 

  11. C. E. Singer, J. Geophys. Res. 82, 2686 (1977).

    Article  ADS  Google Scholar 

  12. F. H. Hinton and R. D. Hazeltine, Rev. Mod. Phys. 48, 239 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  13. S. K. Wong, Matrix Elements of the linearized Fokker-Planck Operator, GA Technologies, Inc. Report No. GA-A1749 (1984), submitted to Phys. Fluids.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Plenum Press, New York

About this chapter

Cite this chapter

Singer, C.E. (1986). Plasma Transport Near Material Boundaries. In: Post, D.E., Behrisch, R. (eds) Physics of Plasma-Wall Interactions in Controlled Fusion. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0067-1_15

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-0067-1_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0069-5

  • Online ISBN: 978-1-4757-0067-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics