The Bohm--Chodura plasma sheath criterion

Journal Article · Wed Mar 01 04:00:00 EST 1995 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871483· OSTI ID:165021

Stangeby, P C ^[1]

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1. University of Toronto Institute for Aerospace Studies Ontario, M3H 5T6 (Canada)

The ion flow velocity entering the Debye sheath is constrained to satisfy the Bohm criterion: velocity must be equal to or greater than sonic. The ion flow velocity entering the magnetic presheath (which arises upstream of the Debye sheath when a magnetic field, oblique to the solid surface is present) is constrained to satisfy the Chodura criterion: velocity-parallel to {bold B} must be equal to or greater than sonic. The Bohm criterion, in its marginal form where {ital v}={ital c}{sub {ital s}}, is associated with a ``gentle entry`` into the sheath with {Delta}{ital n}{sub {ital e}}={Delta}{ital n}{sub {ital i}}, while {ital v}{gt}{ital c}{sub {ital s}} corresponds to {vert_bar}{Delta}{ital n}{sub {ital e}}{vert_bar}{gt}{vert_bar}{Delta}{ital n}{sub {ital i}}{vert_bar}. The magnetic presheath, in contrast with the Debye sheath, is a region of quasineutrality, and thus only {Delta}{ital n}{sub {ital e}}={Delta}{ital n}{sub {ital i}} is permitted. This might appear to prohibit supersonic flow parallel to {bold B} at the entrance to the magnetic presheath, which the analysis of Chodura and Riemann has found to be permitted, in fact. This apparent contradiction is resolved by analyzing the magnetic presheath region to bring out more explicitly the role played by inertia in the {ital E}{times}{ital B} direction, thus confirming that such supersonic flow is permitted. {copyright} {ital 1995} {ital American} {ital Institute} {ital of} {ital Physics}.

• OSTI ID: 165021
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 2; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOHM CRITERION
ELECTRON DENSITY
ION DENSITY
ION DRIFT
MAGNETIC FIELDS
PLASMA DRIFT
PLASMA SHEATH
SINGULARITY
SUPERSONIC FLOW