The viscosity of the binary vapor mixture methanol–triethylamine at low densities and in the saturated vapor phase of the vapor–liquid equilibrium

Teske, Viola; Vogel, E.

doi:10.1016/j.fluid.2011.01.013

Cited by 6 publications

(27 citation statements)

References 18 publications

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“…mix , respectively, isotherms should be regarded, meaning that quasi-isothermal re-evaluated data are required. For the latter purpose, the experimental re-evaluated data of the isochoric series of the measurements on the mixtures of carbon dioxide−ethane [8], propane−isobutane [9], and methanol−triethylamine [10] are most suitable, since they are distinguished by series at a constant or, at least, at an approximately constant mole fraction (methanol−triethylamine) and by only small temperature differences in adjacent measurement points.…”

Section: Results Of the Re-evaluated Measurementsmentioning

confidence: 99%

“…Vogel et al [41] had assessed these series of measurements, whereas Vogel [6] finally discussed them. The viscosity measurements on the mixture methanol−triethylamine [10] were performed with the experimental system which was applied for the pure components methanol [44] and triethylamine [45]. The problems concerning the re-evaluation of the series of measurements performed on methanol vapor in the two campaigns by Vogel et al [40] and Teske and Vogel [44], respectively, were extensively described in Ref.…”

Section: Results Of the Re-evaluated Measurementsmentioning

confidence: 99%

“…The re-evaluated results for comparatively low and moderate densities between 297 K and 638 K are characterized by a relative combined expanded (k = 2) uncertainty of 0.2 % near room temperature, which increases to 0.3 % at higher temperatures. Re-evaluated values are reported for the orig- 16 for the measurements of Teske and Vogel [10] on the vapor mixture methanol−triethylamine and of Table 17 for the measurements of Vogel et al [11] on the vapor mixture methanol−benzene, respectively, and using a modification of the Enskog theory for hard-spheres mixtures (2nd procedure) or the Chapman-Enskog theory of dilute gaseous mixtures (3rd procedure), with the average of the extrapolated values of η inally determined viscosity data of carbon dioxide−ethane [8], propane−isobutane [9], methanol−triethylamine [10], methanol−benzene [11], methanol−cyclohexane [11], benzene−toluene [12], benzene−p-xylene [12], and benzene−phenol [13]. It was checked for the binary vapor mixtures that the measurements at low temperatures, apart from those for the methanol−triethylamine system, were performed in the vapor phase, meaning that the total mass fraction z corresponds to the mole fraction in the vapor phase y.…”

Section: Discussionmentioning

confidence: 99%

“…Table 25 Values for the interaction viscosity, η (0) i j , and for the product of molar density and diffusion coefficient, (ρD i j ) (0) , in the limit of zero density resulting from the η (0) mix values of Table 15 for the measurements of Teske and Vogel [10] and using A * i j values from the effective spherical potential for the vapor mixture methanol−triethylamine. Values for A * i j were determined using the corresponding states principle for spherical molecules [58].…”

Section: Acknowledgementmentioning

confidence: 99%

“…In the present work, the original measurements on the gaseous and vapor mixtures carbon dioxide−ethane [8], propane−isobutane [9], methanol−triethylamine [10], methanol−benzene [11], methanol−cyclohexane [11], benzene−toluene [12], benzene−p-xylene [12], and benzene−phenol [13] are re-evaluated and particularly with regard to the interaction viscosity in the limit of zero density η (0) i j (T ) further analyzed. For this purpose, the temperature functions of the zero-density and the initial density viscosity coefficients η (0) i (T ) and η…”

Section: Introductionmentioning

confidence: 99%

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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

Preprint

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Low-density viscosity measurements on eight gaseous and vapor mixtures between 297 K and 638 K, originally performed using oscillating-disk viscometers, were re-evaluated after improved re-calibration. The relative combined expanded (k=2) uncertainty of the re-evaluated data is 0.2 % near room temperature and increases to 0.3 % at higher temperatures. The re-evaluated data were converted into quasi-isothermal viscosity data. Those for carbon dioxide-ethane, propane-isobutane, and methanol-triethylamine could be used to determine the zero-density and initial density viscosities, etamix(0) and etamix(1). The etamix(0) data for carbon dioxide-ethane agree almost perfectly with viscosity values theoretically computed for the nonspherical potential of the intermolecular interaction. Three procedures were applied to determine the interaction viscosity, etaij(0), and the product of molar density and diffusion, (rho Dij)(0), both in the limit of zero density. In a first procedure only applicable for the three mentioned mixtures, etaij(0) values were derived from the etamix(0) data additionally requiring Aijast values (ratio between effective cross sections of viscosity and diffusion). This procedure should provide the best results when it is possible to use Aijast values computed for the nonspherical potential. This was only feasible for carbon dioxide-ethane, for which the experimentally based etaij(0) and (rho Dij)(0) data perfectly agree with theoretically calculated values. For the seven other mixtures, the resulting data represent only preliminary ones. The second and third procedures were applied to the six vapor mixtures methanol with triethylamine, benzene, and cyclohexane and benzene with toluene, p-xylene, and phenol. The resulting data showed a density dependence and were extrapolated to zero density.

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Section: Results Of the Re-evaluated Measurementsmentioning

confidence: 99%

Section: Results Of the Re-evaluated Measurementsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Acknowledgementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Preprint

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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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The viscosity of the binary vapor mixture methanol–triethylamine at low densities and in the saturated vapor phase of the vapor–liquid equilibrium

Cited by 6 publications

References 18 publications

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

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

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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