A conservative multicomponent diffusion algorithm for ambipolar plasma flows in local thermodynamic equilibrium

Peerenboom, Ksc Kim; Boxtel, J Jochem van; Janssen, Jfj Jesper; Dijk, J.

doi:10.1088/0022-3727/47/42/425202

Cited by 7 publications

(8 citation statements)

References 16 publications

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“…A wall temperature of 1400 K is assumed based on wall temperature measurements of similar Hg lamps. The composition is calcu lated based on a solution of the Stefan-Maxwell equations [5,9]. By using the GuldbergWaage equations the composition in terms of the elemental species can be calculated.…”

Section: Modelmentioning

confidence: 99%

“…In previous work by Gnybida et al [1] the elemental mass frac tions were kept constant. Now the elemental mass fractions are calculated selfconsistently using the method developed by Peerenboom et al [5]. In this section this method is extended by using integral boundary conditions.…”

Section: Diffusionmentioning

confidence: 99%

“…and summing over all spe cies 5 . The elemental diffusive mass flux can be obtained by writing the driving forces in elemental form as…”

Section: Species Formmentioning

confidence: 99%

“…with α M f the desired elemental mass. Expanding this equa tion and neglecting quadratic corrections gives 5 Throughout this article, we will use {} to denote the elements.…”

Section: Unsaturated Elementsmentioning

confidence: 99%

“…In that model radial diffusion was neglected. In this work the method for describing diffusive fluxes proposed by Peerenboom et al [5] is applied and extended with conservation rules. These conservation rules can be used to impose two types of constraints.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of diffusive plasmas in local thermodynamic equilibrium with integral constraints: application to mercury-free high pressure discharge lamp mixtures

Janssen

Suijker

Peerenboom

et al. 2017

J. Phys. D: Appl. Phys.

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The mercury free lamp model previously discussed in Gnybida et al (2014 J. Phys. D: Appl. Phys. 47 125201) did not account for selfconsistent diffusion and only included two molecular transitions. In this paper we apply, for the first time, a selfconsistent diffusion algorithm that features (1) species/mass conservation up to machine accuracy and (2) an arbitrary mix of integral (total mass) and local (cold spot) constraints on the composition. Another advantage of this model is that the total pressure of the gas is calculated self consistently. Therefore, the usage of a predetermined pressure is no longer required.Additionally, the number of association processes has been increased from 2 to 6. The population as a function of interatomic separation determines the spectrum of the emitted continuum radiation. Previously, this population was calculated using the limit of low densities. In this work an expression is used that removes this limitation. The result of these improvements is that the agreement between the simulated and measured spectra has improved considerably.

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Section: Modelmentioning

confidence: 99%

Section: Diffusionmentioning

confidence: 99%

“…and summing over all spe cies 5 . The elemental diffusive mass flux can be obtained by writing the driving forces in elemental form as…”

Section: Species Formmentioning

confidence: 99%

“…with α M f the desired elemental mass. Expanding this equa tion and neglecting quadratic corrections gives 5 Throughout this article, we will use {} to denote the elements.…”

Section: Unsaturated Elementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling of diffusive plasmas in local thermodynamic equilibrium with integral constraints: application to mercury-free high pressure discharge lamp mixtures

Janssen

Suijker

Peerenboom

et al. 2017

J. Phys. D: Appl. Phys.

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Multicomponent transport in plasmas; exploiting stoichiometry

Schoutrop

Dijk

Boonkkamp

2021

Journal of Computational Physics

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Iterative solvers for the Maxwell–Stefan diffusion equations: Methods and applications in plasma and particle transport

Geiser

2015

Cogent Mathematics

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In this paper, we present a model based on a local thermodynamic equilibrium, weakly ionized plasma-mixture model used for medical and technical applications in etching processes. We consider a simplified model based on the Maxwell-Stefan model, which describe multicomponent diffusive fluxes in the gas mixture. Based on additional conditions to the fluxes, we obtain an irreducible and quasi-positive diffusion matrix. Such problems results into nonlinear diffusion equations, which are more delicate to solve as standard diffusion equations with Fickian's approach. We propose explicit time-discretisation methods embedded to iterative solvers for the nonlinearities. Such a combination allows to solve the delicate nonlinear differential equations more effective. We present some first ternary component gaseous mixtures and discuss the numerical methods.

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A conservative multicomponent diffusion algorithm for ambipolar plasma flows in local thermodynamic equilibrium

Cited by 7 publications

References 16 publications

Modeling of diffusive plasmas in local thermodynamic equilibrium with integral constraints: application to mercury-free high pressure discharge lamp mixtures

Modeling of diffusive plasmas in local thermodynamic equilibrium with integral constraints: application to mercury-free high pressure discharge lamp mixtures

Multicomponent transport in plasmas; exploiting stoichiometry

Iterative solvers for the Maxwell–Stefan diffusion equations: Methods and applications in plasma and particle transport

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