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Thermodynamic and Transport Properties of Supercritical Fluids. Part 2: Review of Transport Properties

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Abstract

The experimental foundations and some aspects of the theory and modeling of transport properties (thermal conductivity, viscosity, heat-transfer coefficient) of fluids in the critical and supercritical regions are considered. The theoretical and experimental information on the critical anomaly of thermal conductivity is analyzed in detail. A brief historical reference is given to the first experiments on the thermal conductivity in the critical region, which were carried out mainly by Soviet researchers. The features of measuring the thermal conductivity in the critical region and various interpretations of its critical anomalies are considered. Various approaches to describe the critical anomaly of the transport properties of supercritical fluids, primarily the crossover approach, are discussed. It is shown that the critical anomalies of thermal conductivity, which are described using the mode coupling theory of dynamic critical phenomena, can be represented by a simplified model with two critical amplitudes and one cutoff parameter \({{\bar {q}}_{{\text{D}}}}\) (the boundary value of the wavenumber), which is characteristic of a particular fluid. A procedure to determine these specific parameters is developed based on the principle of corresponding states. This makes it possible to develop a universal method for describing the critical anomalies of transport properties of supercritical fluids. In a pulse experiment, conditions were found under which anomalies of properties do not manifest themselves.

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Notes

  1. The state of the art of studies of the heat transfer under forced convection of a heat-transfer medium at supercritical pressures was analyzed by Kurganov et al. [13].

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Funding

This study was supported by the Russian Foundation for Basic Research (project no. 19-18-50052 Ekspansiya).

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Authors and Affiliations

  1. Institute of Geothermy and Renewable Energy Sources, Joint Institute of High Temperatures, Russian Academy of Sciences, 367032, Makhachkala, Dagestan, Russia

    I. M. Abdulagatov

  2. Dagestan State University, 367000, Makhachkala, Dagestan, Russia

    I. M. Abdulagatov

  3. Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences, 620016, Yekaterinburg, Russia

    P. V. Skripov

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Abdulagatov, I.M., Skripov, P.V. Thermodynamic and Transport Properties of Supercritical Fluids. Part 2: Review of Transport Properties. Russ. J. Phys. Chem. B 15, 1171–1188 (2021). https://doi.org/10.1134/S1990793121070022

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