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A continuum theory of electrostatic probes in a slightly ionized gas

Published online by Cambridge University Press:  13 March 2009

K. Toba  and
S. Sayano
K. Toba
Affiliation:
Missile and space Systems Division, Douglas Aircraft Company, Santa Monica, California
S. Sayano
Affiliation:
Missile and space Systems Division, Douglas Aircraft Company, Santa Monica, California
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Abstract

A systematic continuum theory based on the method of matched asymptotic expansions is developed to deal with electrostatic probes in a slightly ionized gas. To the first approximation of thin space charge sheath, the sheath solution is shown to become common to the geometries considered, i.e. plane, cylindrically and spherically symmetric probe surfaces: the main interest lies in the last geometry. The second-order approximation strongly affects the last two geometries. Detailed numerical calculations are presented to illustrate the effects of a finite ratio of the Debye length to the characteristic body dimension; including a contraction of the sheath region and enhancement of the electric field from the asymptotic (first-order approximation) values.

Type
Research Article
Information
Journal of Plasma Physics , Volume 1 , Issue 4 , November 1967 , pp. 407 - 423
Copyright
Copyright © Cambridge University Press 1967

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References

REFERENCES

Chung, P. M. 1962 Electrical characteristics of Couette and stagnation boundary-layer flows of weakly ionized gases. Aerospace Corp. Rept. TDR 169 (3230.12) TN.2. Also Phys. Fluids 7, 110–20, 1964.Google Scholar
Chung, P. M. 1965 Weakly ionized nonequilibrium viscous shock-layer and electrostatic probe characteristics. AIAA 3, 817–25.Google Scholar
Chung, P. M. & Blankenship, V. C. 1966 Theory of electrostatic double probe comprised of two parallel plates. AIAA 4, 442–50.CrossRefGoogle Scholar
Cochen, I. M. 1963 a Asymptotic theory of spherical electrostatic probes in a slightly ionized, collision-dominated gas. Phys. Fluids 6, 1492–9.CrossRefGoogle Scholar
Cohen, I. M. 1963 b Theory of spherical electrostatic probes in a slightly ionized, collision. dominated gas–review and extension. Princeton University Plasma Physics Lab. Rept. MATT-180.Google Scholar
Demetriades, A. & Hill, J. H. 1965 Transient motion of space charge through a neutral gas. J. Appl. Phys. 36, 747–53.CrossRefGoogle Scholar
Hall, D. F., Kemp, R. F. & Sellen, J. M. 1964 Plasma-vehicle interaction in a plasma stream. AIAA J. 2, 1032–9.Google Scholar
Howard, S. G. 1964 A study of diffusion in a chemically frozen ionized gas. AIAA Paper no. 64–431.CrossRefGoogle Scholar
Radbill, J. R. 1966 Computation of electrostatic probe characteristics by quasilinearization. AIAA 4, 1195–1200.CrossRefGoogle Scholar
Spitzer, L. 1956 Physics of Fully Ionized Gases. New York: Interscience.Google Scholar
Su, C. H. 1965 Compressible plasma flow over a biased body. AIAA J. 3, 842–8.Google Scholar
Su, C. H. & Lam, S. H. 1963 Continuum theory of spherical electrostatic probes. Phys. Fluids 6, 1479–91.CrossRefGoogle Scholar
Toba, K. & Sayano, S. 1967 A continuum theory of electrostatic probes in a slightly ionized gas. Douglas Rept. To be published.CrossRefGoogle Scholar
Van Dyke, M. D. 1964 Perturbation Method in Fluid Mechanics. New York:Academic Press.Google Scholar
Wasserstrom, E., Su, C. H. & Probstein, R. F. 1965 Kinetic theory approach to electrostatic probes. Phys. Fluids 8, 56–72.Google Scholar