Master crossover behavior of parachor correlations for one-component fluids

TL;DR

This paper analyzes the asymptotic behavior of parachor correlations near the critical point for various fluids, using critical parameters to improve surface tension estimations relevant for engineering applications.

Contribution

It introduces a master crossover approach for parachor correlations using only four critical parameters, enhancing the understanding of surface tension behavior near criticality.

Findings

Master asymptotic behavior characterized for multiple fluids.

Parachor correlations can be effectively described using critical parameters.

Implications for improved surface tension estimation in engineering processes.

Abstract

The master asymptotic behavior of the usual parachor correlations, expressing surface tension $\sigma$ as a power law of the density difference $\rho_{L}-\rho_{V}$ between coexisting liquid and vapor, is analyzed for a series of pure compounds close to their liquid-vapor critical point, using only four critical parameters $(\beta_{c})^{-1}$, $\alpha_{c}$, $Z_{c}$ and $Y_{c}$, for each fluid. ... The main consequences of these theoretical estimations are discussed in the light of engineering applications and process simulations where parachor correlations constitute one of the most practical method for estimating surface tension from density and capillary rise measurements.