Multicomponent diffusion in two-temperature magnetohydrodynamics

Journal Article · Sat Jun 01 04:00:00 EDT 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.6382· OSTI ID:284687

Ramshaw, J D; Chang, C H ^[1]

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1. Idaho National Engineering Laboratory, P. O. Box 1625, Idaho Falls, Idaho 83415 (United States)

A recent hydrodynamic theory of multicomponent diffusion in multitemperature gas mixtures [J. D. Ramshaw, J. Non-Equilib. Thermodyn. {bold 18}, 121 (1993)] is generalized to include the velocity-dependent Lorentz force on charged species in a magnetic field {ital B}. This generalization is used to extend a previous treatment of ambipolar diffusion in two-temperature multicomponent plasmas [J. D. Ramshaw and C. H. Chang, Plasma Chem. Plasma Process. {bold 13}, 489 (1993)] to situations in which {ital B} and the electrical current density are nonzero. General expressions are thereby derived for the species diffusion fluxes, including thermal diffusion, in both single- and two-temperature multicomponent magnetohydrodynamics (MHD). It is shown that the usual zero-field form of the Stefan-Maxwell equations can be preserved in the presence of {ital B} by introducing generalized binary diffusion tensors dependent on {ital B}. A self-consistent effective binary diffusion approximation is presented that provides explicit approximate expressions for the diffusion fluxes. Simplifications due to the small electron mass are exploited to obtain an ideal MHD description in which the electron diffusion coefficients drop out, resistive effects vanish, and the electric field reduces to a particularly simple form. This description should be well suited for numerical calculations. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Idaho National Engineering Lab
• DOE Contract Number: AC07-94ID13223
• OSTI ID: 284687
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 53; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AMBIPOLAR DIFFUSION
CURRENT DENSITY
GASES
LORENTZ FORCE
MAGNETOHYDRODYNAMICS
MAXWELL EQUATIONS
MIXTURES
MULTICOMPONENT PLASMA
PLASMA SIMULATION