Transport properties of helium near the liquid-vapor critical point. II. Thermal conductivity of a3He-4He mixture

Cohen, Lawrence H.; Dingus, Michael L.; Meyer, Horst

doi:10.1007/bf00681900

Cited by 28 publications

(7 citation statements)

References 12 publications

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“…These asymptotic predictions are valid only in an extremely small region around the vapor-liquid critical line. Measurements on ~He + 4He [11], methane +ethane [12,13], and CO, +ethane [14] seem to indicate that the thermal conductivity exhibits a diverging critical enhancement, just like in a pure fluid, rather than approach a constant value as predicted by theory. We return to this point when we compare our crossover model with experimental data.…”

Section: Asymptotic Predictionsmentioning

confidence: 82%

“…(12) and (13) [15,16]. Finally, the model ~xplains why the observed thermal conductivity of simple binary fluid mixtures whose components have similar critical temperatures, such as CO, +C_,H 6 or 3He+ 4He [11,21], behaves like that of a one-component fluid in an appreciable range of temperatures and densities. However, one may expect to observe deviations from one-component-like thermalconductivity behavior for mixtures of sufficiently dissimilar components [22].…”

Section: Discussionmentioning

confidence: 96%

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Transport properties of fluid mixtures in the critical region

Luettmer-Strathmann

Sengers

1994

Int J Thermophys

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Transport properties of fluid mixtures exhibit anomalous behavior near the vapor-liquid critical line. These anomalies are a result of long-range fluctuations in the system in the vicinity of a critical point. We use mode-coupling theory to describe the critical enhancements of the thermal conductivity, the viscosity, the mutual diffusivity, and the thermal-diffusion coefficients of binary mixtures. The resulting expressions not only are valid in the asymptotic critical region but also describe the crossover to regular behavior far away from a critical point. The crossover functions depend on the thermodynamic properties of the mixtures, background values of all transport coefficients, and two concentration-dependent cutoff wave numbers. We compare the proposed crossover model with experimental thermal-conductivity data for mixtures of carbon dioxide and ethane in the critical region and find good agreement between theory and experiment.

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Section: Asymptotic Predictionsmentioning

confidence: 82%

Section: Discussionmentioning

confidence: 96%

Transport properties of fluid mixtures in the critical region

Luettmer-Strathmann

Sengers

1994

Int J Thermophys

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“…Until recently, the situation was similar for the thermal conductivity λ T near plait points. Experiments [51,52] suggested a pure-fluid like divergence of λ T near a plait point, in contrast to the asymptotic prediction for mixtures that λ T approach a finite value at the critical point, cf. Eq.…”

Section: Transport Coefficients In the Asymptotic Critical Regionmentioning

confidence: 85%

Thermodiffusion in the Critical Region

Luettmer-Strathmann

2002

Thermal Nonequilibrium Phenomena in Fluid Mixtures

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Abstract. Long range fluctuations of the order parameter affect thermodynamic as well as transport properties in the critical region. The values of transport coefficients near a critical point are typically enhanced compared to the values in the classical region far away from a critical point. Asymptotically close to a critical point, the critical enhancements obey power laws with universal critical exponents. The asymptotic critical region is surrounded by a large crossover region, where the enhancements are no longer asymptotic but still significant compared to the background values. In binary mixtures, this is also the region where differences are observed in the critical behavior of transport coefficients near liquid-liquid (consolute) and liquid-vapor (plait) critical points. In this contribution, we review the critical dynamics of binary fluid mixtures with a focus on thermodiffusion.

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“…Early measurements of the thermal conductivity of fluid mixtures near plait points have been reported by Cohen et al [13,14] for mixtures of 3 He and 4 He and by Friend and Roder [15,16] for mixtures of methane and ethane. These measurements showed a pronounced critical enhancement of the thermal conductivity similar to that observed in one-component fluids, and any crossover to the predicted finite asymptotic behavior of the thermal conductivity was not observed even though in the case of mixtures of 3 He and 4 He the measurements included thermal-conductivity data very close to the plait point [17,18].…”

mentioning

confidence: 96%

Thermal Conductivity of Mixtures of Carbon Dioxide and Ethane in the Critical Region

Mostert

Sengers

2008

Int J Thermophys

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Experimental data are presented for the thermal conductivity of mixtures of carbon dioxide and ethane. The thermal conductivity has been measured with a parallel-plate instrument, as a function of temperature along isochores, so as to obtain detailed information on the behavior of the thermal conductivity of a mixture near the locus of vapor-liquid critical points. The experimental results are in agreement with theoretical predictions from the mode-coupling theory for critical dynamics in binary mixtures.

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Transport properties of helium near the liquid-vapor critical point. II. Thermal conductivity of a3He-4He mixture

Cited by 28 publications

References 12 publications

Transport properties of fluid mixtures in the critical region

Transport properties of fluid mixtures in the critical region

Thermodiffusion in the Critical Region

Thermal Conductivity of Mixtures of Carbon Dioxide and Ethane in the Critical Region

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