# Viscosity and Thermal Conductivity of Individual Substances in the Critical Region

I. M. Abdulagatov
National Institute of Standards and Technology, Boulder

V. A. Rabinovich
All-Russian Research Center of Standardization, Information and Certification of Raw and Processed Materials and Substances of the Russian State Standards Committee, Russian Metrological Academy, Moscow, Russia

## Description

This book is addressed to specialists working in the field of power engineering and chemical technology for processing foodstuffs, as well as engineers, students, and researchers concerned with investigations of thermophysical properties of gases and liquids in the critical region. The foundations of modern theory of transport phenomena in the vicinity of the liquid-gas critical point and procedures for calculating viscosity and thermal conductivity, based on the theory, are presented. The relationship between equilibrium and non-equilibrium properties in the critical region is studied in order to develop reliable self-consistent tables of thermal properties of substances.

208 pages,
© 1996

## Table of Contents:

1 Experimental Techniques for Measurements Viscosity and Thermal Conductivity of Liquids and Gases

1.1 Specific Features of Measuring Thermal Properties Near the Liquid-Gas Critical Point

1.2 Theoretical F oundations of Experimental Techniques for Measuring Viscosity Near the Critical Point

1.3 Theoretical Foundations of Experimental Techniques for Measuring Thermal Conductivity Near the Critical Point

1.4 List of Experimental Studies on Viscosity and Thermal Conductivity of Liquids, Gases, and Their Mixtures Near the Liquid-Liquid and Liquid-Gas Critical Points

2 Theoretical Foundations of Methods for Calculating Viscosity and Thermal Conductivity of Liquids and Gases Near the Critical Point

2.1 The Foundations of the Classical Theory of Dynamic Phenomena Near the Liquid-Gas Critical Point

2.2 Theory of Dynamic Scaling

2.3 Crossover Theory of Transport Properties of Liquids and Gases

2.4 Theoretical Estimates of the Critical Exponents for Viscosity and Thermal Conductivity

2.5 Experimental Determination of Critical Exponents for Viscosity and Thermal Conductivity

2.6 Scaling Functions of Viscosity and Thermal Conductivity

2.7 Dynamic Pseudospinodal Scaling

3 Equation of State and Transport Properties of Liquids and Gases Near the Critical Point

3.1 Relation Between Statistic and Dynamic Properties of Liquids and Gases Near the Liquid-Gas Critical Point

3.2 Parametric Equations of State Near the Critical Point

3.3 Statistic Pseudospinodal Scaling and the Equation of State in Terms of Physical Variables

4 Calculation of Tables of Viscosity and Thermal Conductivity of Commercially Important Substances

4.1 Equation for Calculation of Viscosity of Low-Density Gases η0 (ρ → 0)

4.2 Equation for Calculation of Thermal Conductivity of Low-Density Gases λ0 (ρ → 0)

4.3 Equation for Calculation of Viscosity in the Critical Region Δηc

4.4 Equation for Calculation of Thermal Conductivity in the Critical Region Δλc

4.5 Equation for Calculation of Excess Viscosity Δη(ρ)

4.6 Equation for Calculation of Excess Thermal Conductivity Δλ(ρ)

4.7 Equation of State for Commercially Important Substances Near the Critical Point

4.8 Estimation of the Reliability of the Calculated Quantities