Kinetic theory of two-temperature polyatomic plasmas

Orlac’h, Jean-Maxime; Giovangigli, Vincent; Novikova, Tatiana; Cabarrocas, Pere Roca i

doi:10.1016/j.physa.2017.11.151

Cited by 8 publications

(6 citation statements)

References 34 publications

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“…This justifies the need to derive a multicomponent diffusion model for reacting gases and nanoparticles mixtures. This can be done by extending existing methods from kinetic theory [65].…”

Section: Discussionmentioning

confidence: 99%

Importance of mass and enthalpy conservation in the modelling of titania nanoparticles flame synthesis

Orlac’h

Darabiha

Giovangigli

et al. 2021

Combustion Theory and Modelling

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In most simulations of fine particles in reacting flows, including sooting flames, enthalpy exchanges between gas and particle phases and differential diffusion between the two phases are most often neglected, since the particle mass fraction is generally very small. However, when the nanoparticles mass fraction is very large representing up to 50 % of the mixture mass, the conservation of the total enthalpy and/or the total mass becomes critical. In the present paper, we investigate the impact of mass and enthalpy conservation in the modeling of titania nanoparticles synthesis in flames, classically characterized by a high conversation rate and consequently a high nanoparticles concentration. It is shown that when the nanoparticles concentration is high, neglecting the enthalpy of the particle phase may lead to almost 70 % relative error on the temperature profile and to relative errors on the main titania species mass fractions and combustion products ranging from 20 % to 100 %. It is also established that neglecting the differential diffusion of the gas phase with respect to the particle phase is also significant, with almost 15 % relative error on the TiO2 mole fraction, although the effect on combustion products is minor.

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“…This justifies the need to derive a multicomponent diffusion model for reacting gases and nanoparticles mixtures. This can be done by extending existing methods from kinetic theory [65].…”

Section: Discussionmentioning

confidence: 99%

Importance of mass and enthalpy conservation in the modelling of titania nanoparticles flame synthesis

Orlac’h

Darabiha

Giovangigli

et al. 2021

Combustion Theory and Modelling

Self Cite

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“…When the Knudsen number is small enough to use the Chapman-Enskog method, the transport fluxes are shown to be linearly proportional to transport forces. For instance, neglecting thermal diffusion, the diffusion velocities are modeled by means of the generalized Fick law, V i = − j∈S D ij d j , i ∈ S. The diffusion force is d i = (∇P i − n i q i E)/P , with the partial pressure P i , number density n i , and charge q i of species i ∈ S, and the electric field E. 45 In this case, the calculation of the species velocity distribution function is no longer required, since the multicomponent diffusion coefficients D ij , i, j ∈ S, have a closed form in terms of average cross-sections based on binary interaction potentials between the species pairs. 43 Electrons and heavy particles can exhibit distinct temperatures due to their mass disparity.…”

Section: Maxwell Transfer Equations and Nonequilibrium Modelsmentioning

confidence: 99%

Lagrangian diffusive reactor for detailed thermochemical computations of plasma flows

Boccelli¹,

Bariselli²,

Dias³

et al. 2019

Plasma Sources Sci. Technol.

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The simulation of thermochemical nonequilibrium for the atomic and molecular energy level populations in plasma flows requires a comprehensive modeling of all the elementary collisional and radiative processes involved. Coupling detailed chemical mechanisms to flow solvers is computationally expensive and often limits their application to 1D simulations. We develop an efficient Lagrangian diffusive reactor moving along the streamlines of a baseline flow simulation to compute detailed thermochemical effects. In addition to its efficiency, the method allows us to model both continuum and rarefied flows, while including mass and energy diffusion. The Lagrangian solver is assessed for several testcases including strong normal shockwaves, as well as 2D and axisymmetric blunt-body hypersonic rarefied flows. In all the testcases performed, the Lagrangian reactor improves drastically the baseline simulations. The computational cost of a Lagrangian recomputation is typically orders of magnitude smaller with respect to a full solution of the problem. The solver has the additional benefit of being immune from statistical noise, which strongly affects the accuracy of DSMC simulations, especially considering minor species in the mixture. The results demonstrate that the method enables applying detailed mechanisms to multidimensional solvers to study thermo-chemical nonequilibrium flows.

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“…The starting point for plasma gas mixtures is given in the following reference frame, see also [10], [11] and [17]. We concentrate on the heavy particle description, which is discussed in [18].…”

Section: Mathematical Modelmentioning

confidence: 99%

Splitting Methods For Solving Multi-Component Transport Model: A Multicomponent Mixture for Hydrogen Plasma

Geiser

2019

Preprint

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In this paper, we present a splitting algorithm to solve multicomponent transport models. These models are related to plasma simulations, in which we consider the local thermodynamic equilibrium and weakly ionised plasma-mixture models that are used for medical and technical applications in etching processes. These multi-component transportmixture models can be derived by approximately solving a linearised multi-component Boltzmann equation with an approximation of the collision terms in the mass, momentum and energy equations. The modelequations are nonlinear partial differential equations and they are known as Stefan-Maxwell equations. However, these partial differential equations are delicate to solve and we propose to use noniterative and iterative splitting methods. In the numerical experiments, we see the benefit of the iterative splitting methods, while these methods can relax the nonlinear terms.

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Kinetic theory of two-temperature polyatomic plasmas

Cited by 8 publications

References 34 publications

Importance of mass and enthalpy conservation in the modelling of titania nanoparticles flame synthesis

Importance of mass and enthalpy conservation in the modelling of titania nanoparticles flame synthesis

Lagrangian diffusive reactor for detailed thermochemical computations of plasma flows

Splitting Methods For Solving Multi-Component Transport Model: A Multicomponent Mixture for Hydrogen Plasma

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