Viscosities of the Inert Gases at High Temperatures

Dawe, Richard A.; Smith, E. B.

doi:10.1063/1.1673042

Cited by 172 publications

(68 citation statements)

References 37 publications

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“…These systematic deviations are a consequence of a temperature measurement error with thermocouples extensively discussed by Vogel et al [69] and are still relatively small for helium due to the large thermal conductivity coefficient compared with those of other common gases. The relative measurements of Guevara et al [66] and of Dawe and Smith [67] with capillary viscometers based on a reasonable calibration at room temperature make obvious that they are influenced by systematic errors and that the theoretical calculation is distinctly superior to the experiment at these high temperatures. Figure 8 displays the deviations of the experimental viscosity data by Becker et al [57] and Becker and Misenta [58] from the theoretically calculated values for 3 He.…”

Section: To Higher Values With Increasing Temperature But This Tendementioning

confidence: 99%

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

2007

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To cite this version:Eckhard Vogel, Eckard Bich, Robert Hellmann. Ab initio potential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium. Molecular Physics, Taylor & Francis, 2007, 105 (23-24) A helium-helium interatomic potential energy curve determined from quantum-mechanical ab initio calculations and described with an analytical representation considering relativistic retardation effects (R. Hellmann, E. Bich, and E. Vogel, Mol. Phys. (submitted)) was used in the framework of the quantum-statistical mechanics and of the corresponding kinetic theory to calculate the most important thermophysical properties of helium governed by two-body and three-body interactions. The second pressure virial coefficient as well as the viscosity and thermal conductivity coefficients, the last two in the so-called limit of zero density, were calculated for 3 He and 4 He from 1 K to 10,000 K and the third pressure virial coefficient for 4 He from 20 K to 10,000 K. The transport property values can be applied as standard values for the complete temperature range of the calculations characterized by an uncertainty of ±0.02% for temperatures above 15 K. This uncertainty is superior to the best experimental measurements at ambient temperature.

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Section: To Higher Values With Increasing Temperature But This Tendementioning

confidence: 99%

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

2007

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“…Experiments are from: /: [34], /: [85], / : [86], and /: [87]. Experiments are from: /: [36], /: [34], /: [85], and /: [81]. …”

Section: Tablesmentioning

confidence: 99%

Transport properties for combustion modeling

Brown

Bastien

Price

2011

Progress in Energy and Combustion Science

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This review examines current approximations and approaches that underlie the evaluation of transport properties for combustion modeling applications. Discussed in the review are: the intermolecular potential and its descriptive molecular parameters; various approaches to evaluating collision integrals; supporting data required for the evaluation of transport properties; commonly used computer programs for predicting transport properties; the quality of experimental measurements and their importance for validating or rejecting approximations to property estimation; the interpretation of corresponding states; combination rules that yield pair molecular potential parameters for unlike species from like species parameters; and mixture approximations. The insensitivity of transport properties to intermolecular forces is noted, especially the non-uniqueness of the supporting potential parameters. Viscosity experiments of pure substances and binary mixtures measured post 1970 are used to evaluate a number of approximations; the intermediate temperature range 1 < T* < 10, where T* is kT/ε, is emphasized since this is where rich data sets are available. When suitable potential parameters are used, errors in transport property predictions for pure substances and binary mixtures are less than 5 %, when they are calculated using the approaches of Kee et al.; Mason, Kestin, and Uribe; Paul and Warnatz; or Ern and Giovangigli. Recommendations stemming from the review include (1) revisiting the supporting data required by the various computational approaches, and updating the data sets with accurate potential parameters, dipole moments, and polarizabilities; (2) characterizing the range of parameter space over which the fit to experimental data is good, rather than the current practice of reporting only the parameter set that best fits the data; (3) looking for improved combining rules, since existing rules were found to under-predict the viscosity in most cases; (4) performing more transport property measurements for mixtures that include radical species, an important but neglected area; (5) using the TRANLIB approach for treating polar molecules and (6) performing more accurate measurements of the molecular parameters used to evaluate the molecular heat capacity, since it affects thermal conductivity, which is important in predicting flame development. (1) revisiting the supporting data required by the various computational approaches, and updating the data sets with accurate potential parameters, dipole moments, and polarizabilities; (2) characterizing the range of parameter space over which the fit to experimental data is good, rather than the current practice of reporting only the parameter set that best fits the data; (3) looking for improved combining rules, since existing rules were found to under-predict the viscosity in most cases; (4) performing more transport property measurements for mixtures that include radical species, an important but neglected area; (5) using the TRANLIB approach for treating polar...

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“…This demonstrates that the measurements by Vogel with his all-quartz oscillating-disc viscometer represent the best experiments in this temperature range. The comparison concerning the experimental data by Dawe and Smith [39] and by Guevara and Stensland [40], which result from relative measurements with capillary viscometers based on a reasonable calibration at room temperature, shows that these data should be influenced by systematic errors. Lastly it is concluded that the theoretical determination of viscosity values is to be preferred to experiments at these high temperatures.…”

Section: Viscositymentioning

confidence: 99%

“…Deviations of experimental and calculated viscosity coefficients from values cal(pres) calculated with the new interatomic potential for Ne at higher temperatures. Experimental data with uncertainties characterized by error bars: 5 Kestin et al [27], best estimate; Hellemans et al [37]; Kestin et al [38]; s Dawe and Smith [39]; oe Guevara and Stensland [40]; i Vogel [29], fitted values; m Vogel [29], experimental data corrected according to new helium standard. Calculated values: Á Á Á Á Á Á Á Á Á fifth-order classical calculation [] cl,5 ; ----potential by Aziz and Slaman [7]; -Á -Á -Á potential by Cybulski and Toczylowski [6]; ----potential by Wu¨est and Merkt [5].…”

Section: Viscositymentioning

confidence: 99%

Erratum

2008

Molecular Physics

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A neon-neon interatomic potential energy curve determined from quantum-mechanical ab initio calculations and described with an analytical representation (R. Hellmann, E. Bich, and E. Vogel, Molec. Phys. 106, 133 (2008)) was used in the framework of the quantum-statistical mechanics and of the corresponding kinetic theory to calculate the most important thermophysical properties of neon governed by two-body and three-body interactions. The second and third pressure virial coefficients as well as the viscosity and thermal conductivity coefficients, the last two in the so-called limit of zero density, were calculated for natural Ne from 25 to 10,000 K. Comparison of the calculated viscosity and thermal conductivity with the most accurate experimental data at ambient temperature shows that these values are accurate enough to be applied as standard values for the complete temperature range of the calculations characterized by an uncertainty of about AE0.1% except at the lowest temperatures.

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Viscosities of the Inert Gases at High Temperatures

Cited by 172 publications

References 37 publications

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

Ab initiopotential energy curve for the helium atom pair and thermophysical properties of the dilute helium gas. II. Thermophysical standard values for low-density helium

Transport properties for combustion modeling

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