Correlation and extrapolation scheme for the composition and temperature dependence of viscosity of binary gaseous mixtures: Carbon dioxide + ethane

Hendl, S.; Vogel, E.

doi:10.1007/bf02081292

Cited by 6 publications

(9 citation statements)

References 12 publications

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“…Thus, the proposition of Hendl and Vogel [6] that the model can correlate accurately binary mixture viscosities in the low-density range can be confirmed.…”

Section: Application To Mixturesmentioning

confidence: 55%

“…In the limit of zero density, the worst case relative deviation from the model was about −0.7%. The correlation scheme developed by Hendl and Vogel [6], based on the modified Enskog theory, was parameterized for the carbon dioxidenitrogen system on the basis of the experimental data. This correlation described all experimental manuscript version of 10.01.2018 data within their experimental uncertainties.…”

Section: Discussionmentioning

confidence: 99%

“…The experimental mixture viscosities are compared with the predictions of the Extended Corresponding States (ECS) model [3] as implemented in the NIST REFPROP 9.1 database [4]; this model is based on Ely and Hanley's work [5] and does not include specific interaction parameters for the (carbon dioxide + nitrogen) system. In a second step, parameters in the modified Enskog theory for hard sphere mixtures, as implemented by Hendl and Vogel [6] for binary gas mixtures, were fitted to the experimental data. This results in accurate representations of η (0) , η (1) and the viscosity η over the full ranges of temperature, density and composition studied in this work.…”

Section: + =mentioning

confidence: 99%

“…In the present work, we follow Hendl and Vogel [6] and adopt the arithmetic-mean combining rule, equation ( 7), for χ σ 12 and treat χ σ 11 and χ σ 22 as adjustable parameters in our analysis. The viscosity of the real-gas mixture is then given correct to first-order in the density by combining equations ( 3) and (4).…”

Section: Theorymentioning

confidence: 99%

“…The zero-density viscosity of nitrogen and the binary mixtures was taken from the present work, while that of carbon dioxide was obtained from our previous study [1]. Since Hendl and Vogel [6] found that the simultaneous fitting of χ σ i to the experimental data of both pure substances and of one mixture leads to the best results, only this approach was applied here. We used the experimental data of the equimolar mixture for this procedure.…”

Section: Application To Mixturesmentioning

confidence: 99%

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Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa

Humberg

Richter

Trusler

2018

The Journal of Chemical Thermodynamics

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The viscosity of pure nitrogen and of three (nitrogen + carbon dioxide) mixtures was measured over the temperature range from (253.15 to 473.15) K with pressures up to 2 MPa utilizing a rotating-body viscometer. The relative combined expanded uncertainty (k = 2) of viscosity was estimated to be between (0.14 and 0.19) % for nitrogen. For the binary mixtures, the uncertainty ranged between (0.19 and 0.39) %. The new data for nitrogen show very good agreement with experimental data from the literature and with recent ab initio calculations. The experimental data for the binary mixtures were compared with an Extended Corresponding States (ECS) model as implemented in the NIST REFPROP 9.1 database. The relative deviations of the data from the model were generally found to increase in magnitude with increasing density and ranged between (−2.1 and 0.4) % near the greatest density studied. The experimental data were correlated using

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“…Thus, the proposition of Hendl and Vogel [6] that the model can correlate accurately binary mixture viscosities in the low-density range can be confirmed.…”

Section: Application To Mixturesmentioning

confidence: 55%

Section: Discussionmentioning

confidence: 99%

Section: + =mentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

Section: Application To Mixturesmentioning

confidence: 99%

See 3 more Smart Citations

Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa

Humberg

Richter

Trusler

2018

The Journal of Chemical Thermodynamics

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Viscosity for Eight Gaseous and Vapor Mixtures: Revisited from Experiment Between 297 K and 638 K. Final and Preliminary Values for the Interaction Viscosity and for the Product of Molar Density and Diffusion Coefficient in the Limit of Zero Density

Vogel

2023

Int J Thermophys

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Determination of the Binary Diffusion Coefficients and Interaction Viscosities of the Systems Carbon Dioxide–Nitrogen and Ethane–Methane in the Dilute Gas Phase from Accurate Experimental Viscosity Data Using the Kinetic Theory of Gases

2023

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The results of viscosity measurements at moderate densities on the two gaseous mixtures carbon dioxide–nitrogen and ethane–methane including the pure gases between 253.15 K and 473.15 K, originally performed by Humberg et al. at Ruhr University Bochum, Germany, using a rotating-cylinder viscometer between 0.1 MPa and 2.0 MPa, were employed to determine the interaction viscosity, $$\eta _{12}^{(0)}$$ η 12 ( 0 ) , and the product of molar density and diffusion coefficient, $$(\rho D_{12})^{(0)}$$ ( ρ D 12 ) ( 0 ) , each in the limit of zero density. The isothermal viscosity data were evaluated by those authors with density series restricted to the second order at most to derive the zero-density viscosities and initial density viscosity coefficients, $$\eta _\textrm{mix}^{(0)}$$ η mix ( 0 ) and $$\eta _\textrm{mix}^{(1)}$$ η mix ( 1 ) , for the mixtures, as well as, $$\eta _i^{(0)}$$ η i ( 0 ) and $$\eta _i^{(1)}$$ η i ( 1 ) ($$i=1,2$$ i = 1 , 2 ), respectively, for the pure gases. Humberg et al. have already compared their $$\eta _\textrm{mix}^{(0)}$$ η mix ( 0 ) and $$\eta _i^{(0)}$$ η i ( 0 ) data for carbon dioxide–nitrogen and ethane–methane with corresponding viscosity values theoretically computed for the nonspherical potentials of the intermolecular interaction. Now we employed $$\eta _\textrm{mix}^{(0)}$$ η mix ( 0 ) and $$\eta _\textrm{mix}^{(1)}$$ η mix ( 1 ) as well as $$\eta _i^{(0)}$$ η i ( 0 ) and $$\eta _i^{(1)}$$ η i ( 1 ) in two procedures to derive $$\eta _{12}^{(0)}$$ η 12 ( 0 ) values. For this, we needed $$A_{12}^*$$ A 12 ∗ values (ratio between effective cross-sections of viscosity and diffusion). But the second procedure applying the initial density viscosity coefficients $$\eta _\textrm{mix}^{(1)}$$ η mix ( 1 ) and $$\eta _i^{(1)}$$ η i ( 1 ) failed to yield reasonable $$\eta _{12}^{(0)}$$ η 12 ( 0 ) values. The first procedure should provide the best results when it is possible to use $$A_{12}^*$$ A 12 ∗ values computed for the nonspherical potential. The effect is comparatively small if $$\eta _{12}^{(0)}$$ η 12 ( 0 ) is determined. But if $$(\rho D_{12})^{(0)}$$ ( ρ D 12 ) ( 0 ) is calculated from $$\eta _{12}^{(0)}$$ η 12 ( 0 ) using $$A_{12}^*$$ A 12 ∗ values for the nonspherical potential, the impact is several percent. Moreover, the experimentally based $$\eta _{12}^{(0)}$$ η 12 ( 0 ) and $$(\rho D_{12})^{(0)}$$ ( ρ D 12 ) ( 0 ) data agree with theoretically calculated values for the nonspherical potentials.

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Correlation and extrapolation scheme for the composition and temperature dependence of viscosity of binary gaseous mixtures: Carbon dioxide + ethane

Cited by 6 publications

References 12 publications

Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa

Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa

Viscosity for Eight Gaseous and Vapor Mixtures: Revisited from Experiment Between 297 K and 638 K. Final and Preliminary Values for the Interaction Viscosity and for the Product of Molar Density and Diffusion Coefficient in the Limit of Zero Density

Determination of the Binary Diffusion Coefficients and Interaction Viscosities of the Systems Carbon Dioxide–Nitrogen and Ethane–Methane in the Dilute Gas Phase from Accurate Experimental Viscosity Data Using the Kinetic Theory of Gases

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Correlation and extrapolation scheme for the composition and temperature dependence of viscosity of binary gaseous mixtures: Carbon dioxide + ethane

Cited by 6 publications

References 12 publications

Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa

Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa

Viscosity for Eight Gaseous and Vapor Mixtures: Revisited from Experiment Between 297 K and 638 K. Final and Preliminary Values for the Interaction Viscosity and for the Product of Molar Density and Diffusion Coefficient in the Limit of Zero Density

Determination of the Binary Diffusion Coefficients and Interaction Viscosities of the Systems Carbon Dioxide–Nitrogen and Ethane–Methane in the Dilute Gas Phase from Accurate Experimental Viscosity Data Using the Kinetic Theory of Gases

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Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa

Measurement and modeling of the viscosity of (nitrogen + carbon dioxide) mixtures at temperatures from (253.15 to 473.15) K with pressures up to 2 MPa