Equilibrium thermodynamic properties of two-component and two phase mixtures

TL;DR

This paper develops general formulas to calculate thermodynamic and thermophysical properties of two-component, two-phase mixtures under equilibrium, applicable regardless of specific equations of state for each component or phase.

Contribution

It introduces a universal approach to determine thermodynamic coefficients and properties for various mixtures, including phase change and immiscible phases, without relying on specific equations of state.

Findings

Formulas for thermodynamic coefficients derived for general mixtures.

Applicable to both phase-changing and immiscible phase systems.

Enables calculation of properties like compressibility and heat capacities for complex mixtures.

Abstract

We present general calculations allowing to express the thermodynamical coefficients and thermophysical properties (compressibility, thermal coefficients and heat capacities) of a material composed of a mixture of two constituents or phases, regardless of the equations of state considered for each of the constituant or for the mixture. We consider mixtures under complete thermodynamical equilibrium, either with mass exchange between the two constituents (phase change), such as an oil and gas mixture (black-oil) and water-vapor system or with two immiscible phases, such as air and water mixtures (foam). Keywords Thermodynamic coefficient, Thermophysical properties, thermal coefficients, speed of sound, two phase systems, liquid vapor equilibrium