An analytic treatment of the bounded and free presheaths with arbitrary viscosity in magnetized flowing plasmas

Journal Article · Thu Sep 01 04:00:00 EDT 1994 · Physics of Plasmas; (United States)

DOI:https://doi.org/10.1063/1.870525· OSTI ID:6691404

Chung, K ^[1]

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1. Department of Nuclear Engineering, Hanyang University, Seoul (Korea, Republic of)

Analytic solutions are derived from one-dimensional fluid equations with arbitrary shear viscosity for the free and bounded presheaths in the strongly magnetized flowing plasma. Plasma density and flow velocity are obtained analytically in terms of position along the field line, Mach number ([ital M][sub [infinity]]), normalized viscosity ([alpha]), and size of bounded presheath. Simple analytic relations between the ratio ([ital R]) of sheath current and the flow Mach number [[ital M][sub [infinity]] [equivalent to] [ital V][sub [ital d]]/[radical]([ital ZT][sub [ital e]]+[ital T][sub [ital i]])/[ital m][sub [ital i]]] are derived as [ital R]=exp([ital M][sub [infinity]]/[ital M][sub [ital c]]), where [ital M][sub [ital c]] = 1/[1 +[radical][alpha][sup 2]/1+[alpha] arctan[radical]1+[alpha]], with less than 5% accuracy for 0[le][ital M][sub [infinity]][le]0.5. By generating two free and two bounded presheaths by two Mach probes within two free presheaths generated by a larger object than Mach probes, one can measure [alpha] and [ital M][sub [infinity]] simultaneously. The allowed range of [alpha] in terms of [ital M][sub [infinity]] is obtained, and comparisons with previous numerical analyses are also made.

• OSTI ID: 6691404
• Journal Information: Physics of Plasmas; (United States), Journal Name: Physics of Plasmas; (United States) Vol. 1:9; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700330 -- Plasma Kinetics
Transport
& Impurities-- (1992-)
700350* -- Plasma Production
Heating
Current Drive
& Interactions-- (1992-)
ANALYTICAL SOLUTION
CLOSED PLASMA DEVICES
ELECTRIC PROBES
LANGMUIR PROBE
MACH NUMBER
PLASMA DENSITY
PLASMA FLUID EQUATIONS
PLASMA SHEATH
PROBES
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRANSPORT THEORY
VELOCITY
VISCOSITY