New Equations of State describing both the Dynamic Viscosity and Self-Diffusion Coefficient for Potassium and Thallium in their fluid phases

TL;DR

This paper develops new equations of state based on elastic mode theory to accurately model the viscosity and self-diffusion coefficients of potassium and thallium in their fluid phases, extending the temperature range of existing models.

Contribution

It introduces novel equations of state using elastic mode theory for metallic fluids, improving accuracy and applicability over previous models, especially for thallium.

Findings

Elastic mode theory accurately models experimental data within uncertainties.

New equations of state extend the temperature range for property predictions.

Universal dilute-gas limit laws are confirmed for these metals.

Abstract

Experimental data on the viscosity and self-diffusion coefficient of two metallic compounds in their fluid phases, i.e. potassium and thallium, are modeled using the translational elastic mode theory which has been successfully applied to the case of water. It is shown that this theory allows the experimental data to be accounted for in accordance with their uncertainties and, above all, it allows the different variations observed between the different authors to be explained. Particularly in the case of thallium, this theory makes it possible to represent viscosity data with much better precision than the so-called reference equation of state. The dilute-gas limit laws connecting various parameters of the theory obtained in the case of water are confirmed here and thus give them a universal character. The elastic mode theory is accompanied by the development of new equations of state, mainly to describe properties along the saturated vapor pressure curve, which greatly extend the temperature range of application of these equations compared to those found in the literature. The whole analysis thus makes it possible to propose precise values of various thermodynamic parameters at the melting and boiling temperature corresponding to atmospheric pressure.