Non-Equilibrium Reacting Gas Flows

Нагнибеда, Е. А.; Кустова, Е. В.

doi:10.1007/978-3-642-01390-4

Cited by 228 publications

(143 citation statements)

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“…The most general thermodynamic nonequilibrium model is the state to state model where each internal state of a molecule is independent and considered as a separate species [28,29,30,31,32,33,34,35,36,37]. When there are partial equilibria between some of these states, species internal energy temperatures can be defined and the complexity of the model is correspondingly reduced [30,31,32,33,34,35,36,37]. Another example is that of electron temperature in plasmas [38,39,40,41,42,43,44].…”

Section: A Multi-temperature Kinetic Frameworkmentioning

confidence: 99%

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Relaxation of internal temperature and volume viscosity

Bruno

Giovangigli

2011

Physics of Fluids

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We investigate the relaxation of internal temperature and the concept of volume viscosity in nonequilibrium gas models derived from the kinetic theory. We first investigate a nonequilibrium gas model with two temperatures-translational and internal-where the volume viscosity is absent. We establish that, in a relaxation regime, the temperature difference becomes proportional to the divergence of the velocity fields and define a nonequilibrium, multitemperature, volume viscosity coefficient. We next analyze the convergence of the two temperature model towards the one temperature model when the relaxation is fast. We then investigate a nonequilibrium two temperature gas model with a fast and a slow internal energy mode. We establish that, in a relaxation regime, there are four contributions to the volume viscosity, namely the fast internal mode volume viscosity, the slow internal mode volume viscosity, the relaxation pressure and the perturbed source term. In the thermodynamic equilibrium limit, the sum of these four terms converges toward the one-temperature two-mode volume viscosity. We finally perform Monte Carlo simulations of spontaneous fluctuations near thermodynamic equilibrium. The numerical results obtained from the Boltzmann equation are compared to the predictions of the one and two temperature fluid models and the agreement between theory and calculations is complete.

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Section: A Multi-temperature Kinetic Frameworkmentioning

confidence: 99%

“…Another example is that of electron temperature in plasmas [38,39,40,41,42,43,44]. The next reduction step then consists in equating some of the species internal temperatures [35] and it yields the two temperature models investigated in this paper.…”

Section: A Multi-temperature Kinetic Frameworkmentioning

confidence: 99%

Relaxation of internal temperature and volume viscosity

Bruno

Giovangigli

2011

Physics of Fluids

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“…We recall from [24] that all auxiliary parameters are determined in terms of actual fields going through (as before) a uniquely solvable transcendental equation, and that the "exact" set of 7 scalar non-closed macroscopic conservation equations to be closed by the asymptotic procedure (not written here for brevity) involve now the partial densities n s + n r , with (s, r) = (1, 3), (1,4), (2,4), the total momentum density ⇢ u, and the total (mechanical and chemical) energy density…”

Section: Bgk Hydrodynamics For a Reactive Gas Mixturementioning

confidence: 99%

“…Investigation of non-equilibrium e↵ects in gas mixtures constitutes a crucial challenge in gas dynamics, especially when the complicated structure of polyatomic molecules or the occurrence of chemical reactions has to be considered, since such processes are of great interest in fields like plasma physics, aerospace engineering, energy production, etc [1,2]. They require the development of sophisticated models and solution techniques to accurately describe and simulate the diversity and complexity of nonequilibrium problems, and to e↵ectively capture the wide range of the underlying physical-chemical phenomena.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic limits of kinetic equations for polyatomic and reactive gases

Bisi

Spiga

2017

Communications in Applied and Industrial Mathematics

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Starting from a kinetic BGK-model for a rarefied polyatomic gas, based on a molecular structure of discrete internal energy levels, an asymptotic Chapman-Enskog procedure is developed in the asymptotic continuum limit in order to derive consistent fluid-dynamic equations for macroscopic fields at Navier-Stokes level. In this way, the model allows to treat the gas as a mixture of mono-atomic species. Explicit expressions are given not only for dynamical pressure, but also for shear stress, di↵usion velocities, and heat flux. The analysis is shown to deal properly also with a mixture of reactive gases, endowed for simplicity with translational degrees of freedom only, in which frame analogous results can be achieved.

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“…Alternatively, one can write 39) where the statistical weights β ii are given by 40) and where the translational and full partition functions per unit volume read…”

Section: Heavy-species Thermalizationmentioning

confidence: 99%

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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Non-Equilibrium Reacting Gas Flows

Cited by 228 publications

References 0 publications

Relaxation of internal temperature and volume viscosity

Relaxation of internal temperature and volume viscosity

Hydrodynamic limits of kinetic equations for polyatomic and reactive gases

Kinetic theory of two-temperature polyatomic plasmas

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