On the validity of the simplified expression for the thermal conductivity of Thijsse et al.

Millat, J.; Vesovic, Velisa; Wakeham, W. A.

doi:10.1016/0378-4371(88)90139-2

Cited by 51 publications

(48 citation statements)

References 17 publications

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“…The quantity r 2 is defined by [51][52][53] confirm that, for most molecules studied, the higher-order thermal-conductivity correction factor is near unity. One can take advantage of this finding to define the effective generalized cross-section, S λ [ = S (10E)/f λ ], and rewrite Eq.…”

Section: Dilute-gas Thermal Conductivitymentioning

confidence: 60%

“…It has been previously noted [51], and recently confirmed [49] for smaller molecules, that the cross-section S λ exhibits a nearly linear dependence on the inverse temperature. The correlation is developed by fitting the effective cross-section S λ , obtained from experimental data for the thermal conductivity of the dilute gas by means of Eq.…”

Section: Dilute-gas Thermal Conductivitymentioning

confidence: 64%

“…However, it is possible to derive an equivalent kinetic-theory expression for thermal conductivity by making use of the approach of Thijsse et al [51,52], where one considers expansion in terms of total energy, rather than separating translational from internal energy, as is done traditionally. In this case, the dilute-gas thermal conductivity, λ o (T), of a polyatomic gas can be shown to be inversely proportional to a single generalized cross-section [49][50][51][52], S(10E), as…”

Section: Dilute-gas Thermal Conductivitymentioning

confidence: 99%

“…The approach of Thijsse et al [51,52] requires information for the isobaric heat capacity of the molecule, o , p C usually from an equation of state, but is independent of the viscosity. Fitting the effective cross-section, Eq.…”

Section: Dilute-gas Thermal Conductivitymentioning

confidence: 99%

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Reference correlations for the viscosity and thermal conductivity of fluids over an extended range of conditions: hexane in the vapor, liquid, and supercritical regions (IUPAC Technical Report)

Perkins

Huber

Assael

et al. 2015

Pure and Applied Chemistry

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This article summarizes the correlation procedures developed for IUPAC Project 2012-040-1-100 [Reference correlations for the thermal conductivity and viscosity of fluids over extended range of conditions (vapor, liquid and supercritical regions)]. This project is focused on the development of wide-range reference correlations for the thermal conductivity and viscosity of fluids that incorporate as much theoretical knowledge of these properties as possible. The thermal conductivity and viscosity correlations developed here for pure fluids are functions of temperature and density. The best available equations of state for a given fluid are used to calculate the thermodynamic properties required for these correlations, often from measured temperatures and pressures. The correlation methodology developed during this project has been applied to hexane in this report but can be applied to any pure fluid with a reliable equation of state and reliable data for the thermal conductivity and viscosity over a significant range of temperatures and densities.

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Section: Dilute-gas Thermal Conductivitymentioning

confidence: 60%

Section: Dilute-gas Thermal Conductivitymentioning

confidence: 64%

Section: Dilute-gas Thermal Conductivitymentioning

confidence: 99%

Section: Dilute-gas Thermal Conductivitymentioning

confidence: 99%

See 2 more Smart Citations

Reference correlations for the viscosity and thermal conductivity of fluids over an extended range of conditions: hexane in the vapor, liquid, and supercritical regions (IUPAC Technical Report)

Perkins

Huber

Assael

et al. 2015

Pure and Applied Chemistry

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“…The thermal conductivity model for the species is based on the Thijsse total energy formulation of species conductivity (see Refs. [18][19][20] rather than the more traditional two-flux or HirschfelderEucken formulation that was employed by Uribe et al 21,22 to develop a correlation to predict the thermal conductivity of several polyatomic gases. When the internal mechanical modes are assumed to be independent, new approximate expressions for the internal energy diffusion coefficient and collision number are developed that use the Uribe et al 21,22 correlation for the rotational energy diffusion coefficient and the classical Parker 23 Brau-Jonkman 24 expression for the rotational collision number.…”

Section: Introductionmentioning

confidence: 99%

Transport Properties for the Chemical Oxygen-Iodine Laser

Copeland

2005

Journal of Thermophysics and Heat Transfer

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Transport models for computing the diffusivity, viscosity, and thermal conductivity of mixtures over a broad range of temperatures of interest to chemical oxygen-iodine lasers are presented. The individual species transport models are based on the corresponding states correlations for the rare gases and several non-or weakly polar polyatomic molecules developed by Mason, Kestin, and coworkers and extended by Paul to treat strongly polar molecules and the Thijsse expression for conductivity. New polynomial extensions for the molecular collision integrals to allow their computation for 0 < T * < -1 are developed. The potential and molecular parameters for the atomic and diatomic halogens are derived from viscosity data if available, estimated using the Tang-Toennies potential model and the Cambi potential parameter correlations, or obtained from the literature as appropriate.Results are compared to both experimental and theoretical data when available, and good agreement is obtained. Binary interaction potential parameters with which to compute the mixture viscosity and conductivity using the Chapman-Enskog theory are presented for 14 species. New approximate mixture rules that use only the pure species properties are also discussed. Parametric representations of the species viscosities and conductivities are provided for temperatures ranging from 50 to 1000 K. NomenclatureA * , B * , C * , E * = collision integral ratios, dimensionless a = effective rigid-core diameters,Å a 0 = Bohr radius, 0.529177Å C = internal contribution to the molar specific heat, erg/mol · K C P = molar specific heat at constant pressure, erg/mol · K C spn = empirical spin-polarization coefficient, dimensionless C V = molar specific heat at constant volume, erg/mol · K C 2n = long-range dispersion coefficients, erg · cm 2n C * 2n = reduced long-range dispersion coefficientsparametric fit coefficients D = binary mass or internal energy diffusion coefficient, cm 2 /s d = number of rotational degrees of freedom, dimensionless F, G, H = symmetric, positive definite matrix describing mixture transport properties f i j , f η , f λ = Kihara binary mass diffusion, viscosity, and conductivity correction factor, dimensionless g = quantum mechanical summation in the rotational exchange corrections, dimensionless h = Planck constant, h/2π , 1.054592 × 10 −27 erg · s I = rotational moment of inertia, g · cm 2 = number of molecular bond and nonbond electrons N E = effective number of electron oscillators N I , N O = number of inner and outer atomic electrons N S = number of species in the gas mixture N T = total number of atomic or molecular electrons P = gas pressure, torr R = universal gas constant, 8.31434 × 10 7 erg/particle · K R a = ath atom position relative to the molecular center of mass,Å r = intermolecular separation,Å r M = intermolecular equilibrium separation,Å r 2 = ratio of the internal to translational heat capacity, 2C int /5R, dimensionless s 2 = ratio of the rotational to translational heat capacity, 2C rot /5R, dimensionless T = gas ...

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