Correlation and Prediction of Thermal Conductivity Using the Redlich–Kwong Cubic Equation of State and the Geometric Similitude Concept for Pure Substances and Mixtures

Abstract

In this work, a model for the thermal conductivity of non-polar and polar substances is developed based on the geometric similitude concept between the P-v (molar volume)-T and T-k (thermal conductivity)-P plots. The equation of state of Redlich-Kwong is used to perform the geometric similitude. The parameters of the model are estimated by fitting experimental data of saturated liquid and saturated vapor. Generalized expressions in terms of the normal boiling point are proposed for the parameters of n-alkanes and n-alcohols. The calculated average absolute deviations are 7.63% and 8.55% for the n-alkanes and the n-alcohols used to develop the generalized expressions. Also, some predictive calculations are performed and deviations below 10.62% and 9.42% are obtained for n-alkanes and n-alcohols respectively. In total, 2412 experimental data (952 correlated data and 1460 predicted data) in the temperature range of (95 to 645.5) K and pressures below 906.4 bar have been considered. The empirical model has be...