Effects of Critical Fluctuations on the Thermodynamic and Transport Properties of Supercritical Fluids

Sengers, J. V.

doi:10.1007/978-94-015-8295-7_9

Cited by 41 publications

(24 citation statements)

References 129 publications

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“…To describe fluids and fluid mixtures in the much larger region in which the critical fluctuations affect the thermodynamic properties, so-called crossover equations-of-state have to be employed (cf. [1]). Thermodynamics of binary fluid mixtures in the asymptotic critical region are most elegantly described by the theory of Griffiths and Wheeler [31].…”

Section: Thermodynamic Properties In the Critical Regionmentioning

confidence: 99%

“…[1,2]). The transport properties related to heat and mass transport in binary mixtures are no exception.…”

Section: Introductionmentioning

confidence: 99%

“…The mutual diffusivity, for example, vanishes at a critical point while the Ludwig-Soret coefficient, describing the transport of matter in response to a temperature gradient, diverges as a critical point is approached. Since transport coefficients can have anomalous values in a large region around a critical point [1,2] a knowledge of their critical behavior is important for many technical and scientific applications. In particular, thermal diffusion in the critical region is important in such fields as supercritical-fluid chemistry, the treatment of hazardous waste, geochemistry of hydrocarbon reservoirs, and the study of the kinetics of phase separation (cf.…”

Section: Introductionmentioning

confidence: 99%

“…The asymptotic critical region, however, is usually much smaller than the region in which critical enhancements are observed experimentally (cf. [1,2]). The behavior of the transport coefficients in this so-called crossover region cannot be described in terms of simple power laws and depends on details of the physical system under consideration.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Thermodynamic Properties In the Critical Regionmentioning

confidence: 99%

“…[1,2]). The transport properties related to heat and mass transport in binary mixtures are no exception.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermodiffusion in the Critical Region

Luettmer-Strathmann

2002

Thermal Nonequilibrium Phenomena in Fluid Mixtures

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“…2,3 Due to the presence of large fluctuations near the critical point, some singular phenomena including the critical opalescence can occur. 4 The first non-classical model with effective critical exponents for describing the phase behavior of the binary mixtures was developed by Leung and Griffiths 5 and subsequently modified by Moldover, Rainwater and their co-workers [6][7][8] to obtain a satisfactory prediction of the thermo-physical properties for many binary mixtures. Thereafter, for fluid mixtures a scaled EoS was proposed for analyzing the asymmetric fluid-phase behavior asymptotically close to the critical point using the principle of isomorphism.…”

Section: Introductionmentioning

confidence: 99%

Isomorphic Viscosity Equation of State for Binary Fluid Mixtures

Behnejad

Cheshmpak

Jamali

2015

ACSi

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The thermodynamic behavior of the simple binary mixtures in the vicinity of critical line has a universal character and can be mapped from pure components using the isomorphism hypothesis. Consequently, based upon the principle of isomorphism, critical phenomena and similarity between P -ρ -T and T -η -(viscosity) -P relationships, the viscosity model has been developed adopting two cubic, Soave-Redlich-Kwong (SRK) and Peng-Robinson (PR), equations of state (EsoS) for predicting the viscosity of the binary mixtures. This procedure has been applied to the methane-butane mixture and predicted its viscosity data. Reasonable agreement with the experimental data has been observed. In conclusion, we have shown that the isomorphism principle in conjunction with the mapped viscosity EoS suggests a reliable model for calculating the viscosity of mixture of hydrocarbons over a wide pressure range up to 35 MPa within the stated experimental errors.

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Membranes

Gershfeld¹

2002

Encyclopedia of Molecular Biology

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Effects of Critical Fluctuations on the Thermodynamic and Transport Properties of Supercritical Fluids

Cited by 41 publications

References 129 publications

Thermodiffusion in the Critical Region

Thermodiffusion in the Critical Region

Isomorphic Viscosity Equation of State for Binary Fluid Mixtures

Membranes

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