Transporterscheinungen in Gasen von mittlerem Druck

Waldmann, L.

doi:10.1007/978-3-642-45892-7_4

Cited by 138 publications

(155 citation statements)

References 299 publications

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“…The equations governing multicomponent reactive flows are derived form the kinetic theory of polyatomic reactive gas mixtures [7,8,9,10,11,12,13]. These equations can be split between conservation equations, thermochemistry, and transport fluxes.…”

Section: Multicomponent Reactive Flow Modelsmentioning

confidence: 99%

“…The transport fluxes Π, F k , k ∈ S, and Q due to macroscopic variable gradients can be written in the form [7,8,9,11,12,13]…”

Section: Transport Fluxesmentioning

confidence: 99%

“…Various variational approximation spaces can be used as reduced spaces [13] or spaces for a direct evaluation of the thermal conductivity and the thermal diffusion ratios [66] and lead to different linear systems. The resulting transport linear systems are also naturally obtained in their symmetric form [8,9,11,12,13]. The linear system associated with any coefficient µ then take on either a regular form or a singular form [13,7].…”

Section: Transport Coefficientsmentioning

confidence: 99%

“…These equations are derived from the kinetic theory of polyatomic reactive gas mixtures [7,8,9,10,11,12,13]. In particular, many symmetry properties of the corresponding fluid equations are direct consequences of symmetry properties associated with the Boltzmann collision operator [7].…”

Section: Introductionmentioning

confidence: 99%

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Multicomponent flow modeling

Giovangigli

2011

Sci. China Math.

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We first present multicomponent flow models derived from the kinetic theory of gases. We then investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial differential equations and discuss the Cauchy problem for smooth solutions. We also address the existence of deflagration waves also termed anchored waves. We further indicate related models which have a similar hyperbolic-parabolic structure, notably the Saint-Venant system with a temperature equation as well as the equations governing chemical equilibrium flows. We next investigate multicomponent ionized and magnetized flow models with anisotropic transport fluxes which have a different mathematical structure. We finally discuss numerical algorithms specifically devoted to complex chemistry flows, in particular the evaluation of multicomponent transport properties, as well as the impact of multicomponent transport.

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Section: Multicomponent Reactive Flow Modelsmentioning

confidence: 99%

“…The transport fluxes Π, F k , k ∈ S, and Q due to macroscopic variable gradients can be written in the form [7,8,9,11,12,13]…”

Section: Transport Fluxesmentioning

confidence: 99%

Section: Transport Coefficientsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multicomponent flow modeling

Giovangigli

2011

Sci. China Math.

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“…1 Thermophoretic forces caused by a temperature gradient induce dust structures, are of central interest in the scavenging of aerosol particles in clouds, when droplets and/or ice crystals grow or evaporate, during the fall of hydrometeors, 2,3 influence the velocity measurements in particle image velocimetry measurements, 4 and have been discussed in the context of nonequilibrium thermodynamics, 1,5,6 and in terms of a kinetic description, [7][8][9][10] leading to a stochastic differential equation for a tracer particle in a solvent. 1,11 In contrast to thermophoretic forces, barophoretic effects caused by pressure gradients, 12,13 and rheophoretic forces caused by velocity field gradients have been considered less frequently and not yet elaborated in an extensive, complete, or unifying fashion for nonspherical tracers.…”

Section: Introductionmentioning

confidence: 99%

Unifying kinetic approach to phoretic forces and torques onto moving and rotating convex particles

Kröger

Hütter

2006

The Journal of Chemical Physics

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We derive general expressions and present several examples for the phoretic forces and torques acting on a translationally moving and rotating convex tracer particle, usually a submicrosized aerosol particle, assumed to be small compared to the mean free path of the surrounding nonequilibrium gas. Point of departure is an expression of the stress tensor in terms of half-sphere integrals to be evaluated with the inhomogeneous velocity distribution function of the surrounding gas, more specifically, its approximation in terms of a finite number of moments. A worked out example covers Grad’s 13 moment approximation in and out of the so-called hydrodynamic approximation. We implement an accommodation coefficient characterizing the collision process in order to derive the tracer particle’s complete equations of motion in a form which offers the possibility for immediate numerical implementation, and the analytical exploration of the effect of particle shape and size on phoretic drift velocity. Explicit expressions for axisymmetric, spherical, cylindrical, and also cuboidal particles are presented, discussed, and successfully compared with the rarely available, previously treated special cases, thus supporting the unifying approach presented in this manuscript.

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Variational Principles in Thermodynamics and Statistical Mechanics of Irreversible Processes

Ono

1961

Advances in Chemical Physics

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Transporterscheinungen in Gasen von mittlerem Druck

Cited by 138 publications

References 299 publications

Multicomponent flow modeling

Multicomponent flow modeling

Unifying kinetic approach to phoretic forces and torques onto moving and rotating convex particles

Variational Principles in Thermodynamics and Statistical Mechanics of Irreversible Processes

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