Transport properties in reacting mixture of polyatomic gases

Chikhaoui, A.; Dudon, Jean-Paul; Kustova, Elena; Нагнибеда, Е. А.

doi:10.1016/s0378-4371(97)00392-0

Cited by 46 publications

(23 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The evolution of these distribution functions, based on kinetic theory, can be expressed as [1,7,[11][12][13] …”

Section: Governing Equationsmentioning

confidence: 99%

“…This limitation is overcome in the approach given in the works of [1,[11][12][13] that includes the vibrational energy states in the collision operator of the transport equation, thus providing state to state transport coefficients for calculation of the transport properties in a gas flow. A justification for this more general state kinetic approach for transport coefficients for given sets of flow conditions was provided in earlier work, see for example [14,15].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Role of State-to-State Kinetics in Determining Transport Coefficients for Hypersonic Flow Simulations

Josyula¹,

Burt²,

Bailey³

et al. 2014

TOPPJ

View full text Add to dashboard Cite

A numerical study is performed to assess the influence of thermochemical nonequilibrium on the transport coefficients used in Computational Fluid Dynamics (CFD) simulations of hypersonic external flowfields. An quantitative assessment is made of transport coefficients from simplified methods of Blottner curve fits and Variable Hard Sphere (VHS) model on the numerical solution of a Mach 23 flow past a sphere cone, the RAMC-II test case. The equations derived by Kustova [1] in the state kinetic approach for calculating transport coefficients from the Chapman-Enskog solution of the Wang-Chang Uhlenbeck equation were used to conduct a parametric study for assessment of the effect of the following parameters on the state-specific diffusion coefficients: (1) Widely different population distributions, (2) Atomic mass concentration, and (3) Binary atomic to molecular diffusion coefficient ratio. The present study is a first step to quantify the relative importance of the parameters considered for a future implementation of the computationally expensive state-kinetic transport coefficients in multi-dimensional fluid dynamic flow solvers for flow conditions where the more general state kinetic approach becomes necessary.

show abstract

“…The evolution of these distribution functions, based on kinetic theory, can be expressed as [1,7,[11][12][13] …”

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Role of State-to-State Kinetics in Determining Transport Coefficients for Hypersonic Flow Simulations

Josyula¹,

Burt²,

Bailey³

et al. 2014

TOPPJ

View full text Add to dashboard Cite

show abstract

“…Heat and mass transfer are specified by the gas temperature, molar fractions of species and vibrational temperatures of molecular components Chikhaoui et al (1997). For tempered reaction regime, with the chemical reaction rate considerably lower than that for the internal energy relaxation, the following characteristic time relation takes place:…”

Section: Theoretical Modelsmentioning

confidence: 99%

“…The first-order distribution functions in the generalized multi-temperature approach take the form (see Chikhaoui et al (1997); :…”

Section: Transport Propertiesmentioning

confidence: 99%

“…Thus, in order to express the dependence of the unknown functions on the internal energy, the Waldmann-Trübenbacher polynomials are introduced for the rotational energy as well as for the part of vibrational energy. The choice of the trial functions proposed in Chikhaoui et al (1997) (see also ) makes it possible to derive the linear systems of algebraic equations for expansion coefficients. The transport coefficients are expressed via the solution of these equations.…”

Section: Transport Propertiesmentioning

confidence: 99%

See 1 more Smart Citation