Numerical Method and Composition at and out of Chemical Equilibrium in a Multitemperature Plasma. Application to a Pure Nitrogen Plasma

André, Pascal

doi:10.1002/ctpp.2150370104

Cited by 10 publications

(6 citation statements)

References 6 publications

(12 reference statements)

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“…It should be emphasized that the calculation of partition functions assumes that all levels of the same types (excitational, vibrational, rotational) follow a Boltzmann distribution with their own temperature. The partition functions (and therefore the plasma composition) strongly depend on the choice made for the temperature (this could be T ex = T e , T v = f (T e , T h ) or T r = T h ), the cut-off criterion for the partition function truncation, the number of excited levels considered and the availability and the accuracy of spectroscopic data (see for example [75,[84][85][86] 2.4. Kinetic calculation [82] Equilibrium chemical reactions can be written as…”

Section: Van De Sanden Et Al's Methodsmentioning

confidence: 99%

Treatment of non-equilibrium phenomena in thermal plasma flows

Rat¹,

Murphy²,

Aubreton³

et al. 2008

J. Phys. D: Appl. Phys.

131

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Thermal plasma flows provide a uniquely high specific enthalpy source that is well suited to transformation of matter, often via phase changes. As a consequence, numerous thermal-plasma-based processes have been developed to, for example, destroy pollutants, modify surfaces (e.g. cutting and welding), synthesize nanostructures and deposit functionalized nanostructured coatings. In many cases, departures from equilibrium (both thermal and chemical) occur in regions of such plasmas; for example, in electrode erosion phenomena or in the injection of a liquid into a plasma jet. This paper reviews the treatment of non-equilibrium phenomena in thermal plasma flows, in particular the methods of calculation of the composition and transport coefficients of non-equilibrium plasmas, which are required for modelling the above processes. The focus is on two-temperature plasmas, in which electrons and heavy species are at different temperatures. Methods of calculation of the composition of plasmas both in local chemical equilibrium (LCE) and out of LCE are presented. A comparison of the different methods shows large discrepancies, even assuming LCE. Two-temperature transport coefficients obtained from simplified expressions, from the modified Chapman–Enskog method and from the Stefan–Maxwell relations are presented, as well as examples focusing on the influence of plasma composition. Different methods of calculation of the collision integrals required in determining the transport coefficients are also reviewed. Particular attention is paid to diffusion, in particular to the combined diffusion coefficient method, which simplifies treatment of plasmas in LCE. The method of calculation of the reactive thermal conductivity and the influence of excited states on transport coefficients are also addressed in some detail.

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Section: Van De Sanden Et Al's Methodsmentioning

confidence: 99%

Treatment of non-equilibrium phenomena in thermal plasma flows

Rat¹,

Murphy²,

Aubreton³

et al. 2008

J. Phys. D: Appl. Phys.

131

View full text Add to dashboard Cite

show abstract

“…When formulating the kinetic equations it is necessary to consider the rate of reaction defined by relation (5).…”

Section: Conditionmentioning

confidence: 99%

On the formal correctness of the reaction kinetics model and its solution in HV circuit breakers after current zero

Coufal

Sezemský

2001

J. Phys. D: Appl. Phys.

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Five necessary conditions for the so-called formal correctness of solutions of kinetic equations are formulated, which form a mathematical model of the reaction kinetics in HV circuit breakers after current zero for a given time-dependence of temperature and a given time-dependence of pressure or volume. The conditions are based on the mass action law, knowledge obtained from mathematical analysis of a system of ordinary differential equations, the principles of numerical analysis and the equilibrium-state principle of thermodynamics. Concrete solutions of kinetic equations are given and analysed for the products of SF6 dissociation and ionization. Two models are considered. In one model, the temperature drops from 10 000 to 2500 K, in the other it drops from 12 000 K to room temperature. A comparison of the time-dependent composition with the equilibrium composition is offered for both models.

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“…The rate coefficient at 27 km with θ = 600 Td we calculate using BOLSIG+ solver is 4.56 × 10 −9 cm 3 /s, which value is in between those of André () (~2.31 × 10 −10 cm 3 /s) and Sentman et al ( ) (~4.22 ×10 −8 cm 3 /s).…”

Section: Model Validationmentioning

confidence: 51%

A New Detailed Plasma‐Chemistry Model for the Potential Impact of Blue Jet Streamers on Atmospheric Chemistry

Huret

Garnung

et al. 2020

JGR Atmospheres

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A detailed ion-neutral chemistry model named MiPO-Streamer model has been developed to simulate the impact of blue jet streamers on stratospheric chemistry. It is based on the MiPLaSMO model (Microphysical and Photochemical Lagrangian Stratospheric Model of Ozone) widely used over the last 20 years to interpret balloon and satellite measurements associated with stratospheric ozone. In this study, instead of using a reduced electric field with constant value during blue jet streamer discharge process, we used a time-dependent reduced electric field coming from an explicit streamer model. The simulations are performed on daytime/nighttime and in 2-day long-term duration at 27 km where the catalytic cycle of NO x is the most efficient to destroy ozone. Among 117 species considered, we put the focus on nitrogen, oxygen, chlorine, and bromine species, and ozone perturbation. The model results indicate that the densities of neutral species through an electrodynamic streamer simulation show an impact of a factor 2 as compared to the pulse-based simulation at 27 km.

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Numerical Method and Composition at and out of Chemical Equilibrium in a Multitemperature Plasma. Application to a Pure Nitrogen Plasma

Cited by 10 publications

References 6 publications

Treatment of non-equilibrium phenomena in thermal plasma flows

Treatment of non-equilibrium phenomena in thermal plasma flows

On the formal correctness of the reaction kinetics model and its solution in HV circuit breakers after current zero

A New Detailed Plasma‐Chemistry Model for the Potential Impact of Blue Jet Streamers on Atmospheric Chemistry

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