Transport Properties of Equilibrium Argon Plasma in a Magnetic Field

Bruno, D.; Capitelli, M.; Catalfamo, C.; Chikhaoui, A.; Kustova, Elena; Giordano, D.; Laricchiuta, Annarita

doi:10.2514/6.2004-2161

Cited by 9 publications

(11 citation statements)

References 8 publications

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“…By isotropy, the variational approximation space A η to be considered in the first place is the space spanned by φ 2000k , k ∈ S [3,6,17,20]. The simulations by Bruno and coworkers have shown that the corresponding coefficients are sufficiently accurate so that higher order expansions of ϕ η(l) , l ∈ {1, 2, 3} are not required [2,14]. A (Hermitian) Galerkin approach is used by requiring the difference between the approximated (F S + (2δ 2l + δ 3l )iBF z,m )(ϕ η(l) ) and Ψ η to be orthogonal to the approximation space.…”

Section: Transport Linear Systems Associated With the Shear Viscositiesmentioning

confidence: 99%

“…Higher order evaluations of transport coefficients have been performed by Kaneko and coworkers for binary neutral mixtures in uniform magnetic fields in a simplified steady kinetic framework [11,12]. Convergence properties of the Chapman-Enskog expansion for transport coefficients of magnetized argon plasmas have been investigated by Bruno and coworkers [2,13,14]. The degree of anisotropy of various transport coefficients introduced by the magnetic field has been studied in terms of the electron Hall parameter.…”

Section: Introductionmentioning

confidence: 99%

“…The degree of anisotropy of various transport coefficients introduced by the magnetic field has been studied in terms of the electron Hall parameter. Bruno and coworkers have established in particular the important influence of the Ramsauer minimum in the electron-argon cross sections on the transport coefficients of magnetized argon plasmas [2,14].…”

Section: Introductionmentioning

confidence: 99%

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The kinetic theory of partially ionized reactive gas mixtures II

Giovangigli

Graille

2008

J. Phys. A: Math. Theor.

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We investigate the kinetic theory of partially ionized reactive gas mixtures in strong magnetic fields following Giovangigli et al (2003 Physica A 327 313–48). A new tensor basis is introduced for expanding the perturbed distribution functions associated with the viscous tensor. New symmetry properties of transport coefficients are established as well as simplified bracket expressions. A variational framework is introduced for a direct evaluation of the thermal conductivity and the thermal diffusion ratios. The transport linear systems corresponding to the usual Sonine/Wang–Chang Uhlenbeck polynomial expansions are evaluated. The behavior of transport coefficients and transport fluxes for vanishing magnetic fields is investigated using series expansions. Practical implementation of iterative algorithms for solving the resulting complex symmetric constrained singular linear systems is discussed as well as various approximations of the transport coefficients.

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Section: Transport Linear Systems Associated With the Shear Viscositiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The kinetic theory of partially ionized reactive gas mixtures II

Giovangigli

Graille

2008

J. Phys. A: Math. Theor.

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“…k, and kD À D ½00 k=kD k k, can be large for ionization levels above 10 À3 . In addition, higher order effects due to the energy of the molecules are always important, even for weakly ionized mixtures, in order to evaluate the electrical conductivities [6,[8][9][10]32].…”

Section: ð7:20þmentioning

confidence: 99%

“…Evaluation of the transport coefficients, however, requires solving linear systems associated with linearized Boltzmann equations [8,9,13,32,41,43,45,47,55,60,70,72]. The corresponding transport linear systems can be obtained in their natural constrained singular symmetric form for all the regimes considered [13,32,41,43,47,70].…”

Section: Introductionmentioning

confidence: 99%

Multicomponent transport algorithms for partially ionized mixtures

Giovangigli¹

2010

Journal of Computational Physics

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Kinetic theory of two-temperature polyatomic plasmas

Orlac’h

Giovangigli

Novikova

et al. 2018

Physica A: Statistical Mechanics and its Applications

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We investigate the kinetic theory of two-temperature plasmas for reactive polyatomic gas mixtures. The Knudsen number is taken proportional to the square root of the mass ratio between electrons and heavy-species, and thermal non-equilibrium between electrons and heavy species is allowed. The kinetic non-equilibrium framework also requires a weak coupling between electrons and internal energy modes of heavy species. The zeroth-order and first-order fluid equations are derived by using a generalized Chapman-Enskog method. Expressions for transport fluxes are obtained in terms of macroscopic variable gradients and the corresponding transport coefficients are expressed as bracket products of species perturbed distribution functions. The theory derived in this paper provides a consistent fluid model for non-thermal multicomponent plasmas.

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Transport Properties of Equilibrium Argon Plasma in a Magnetic Field

Cited by 9 publications

References 8 publications

The kinetic theory of partially ionized reactive gas mixtures II

The kinetic theory of partially ionized reactive gas mixtures II

Multicomponent transport algorithms for partially ionized mixtures

Kinetic theory of two-temperature polyatomic plasmas

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