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Analytic theory of sheath expansion into a cylindrical bore

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.871501· OSTI ID:286966
 [1]
  1. Department of Physics, West Virginia University, Morgantown, West Virginia 26506-6315 (United States)
A simple analytic theory describing the expansion of the collisionless, pulsed, plasma sheath into a cylindrical bore is presented. An approximate expression for the Child{endash}Langmuir law is derived, allowing the sheath speed and sheath width to be predicted for quasistatic expansion. The dependence of the ion impact energy on sheath speed is estimated. Finally, the dependence of the maximum ion impact energy on the radius of the bore is calculated from the sheath speed dependence of the ion impact energy and the minimum calculated sheath speed. The theory agrees well with numerical solutions of a time-dependent fluid model. {copyright} {ital 1996 American Institute of Physics.}
OSTI ID:
286966
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 9 Vol. 3; ISSN PHPAEN; ISSN 1070-664X
Country of Publication:
United States
Language:
English

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