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Asymptotic matching of plasma and sheath in an active low pressure discharge

Published online by Cambridge University Press:  13 March 2009

R. N. Franklin  and
J. R. Ockendon
R. N. Franklin
Affiliation:
Engineering Laboratory, University of Oxford
J. R. Ockendon
Affiliation:
St Catherine's College, University of Oxford
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Abstract

The method of matched asymptotic expansions is applied to the fluid model of the low-pressure positive column. The expansion of the eigenvalue in the plasma balance equation is obtained to second order in plane and in cylindrical geometry, and uniformly valid expressions for charged particle densities and fluid velocity in two separate regions are indicated.

The free-fall model is also examined and the scales of the transition layer and sheath layer found. Comparison is made with the results of direct numerical integration of the equations involved for both models.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 2 , May 1970 , pp. 371 - 385
Copyright
Copyright © Cambridge University Press 1970

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References

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