Resistances for heat and mass transfer through a liquid-vapor interface in a binary mixture

TL;DR

This paper compares methods for calculating interfacial resistances in a binary mixture, validating integral relations against direct solutions and revealing discrepancies with kinetic theory predictions.

Contribution

It demonstrates that integral relations provide accurate, faster calculations of interfacial resistances and highlights underestimations in kinetic theory for cross coefficients.

Findings

Integral relations match direct non-equilibrium calculations.

Kinetic theory underestimates cross coefficients.

Heat of transfer is larger than kinetic theory estimates.

Abstract

In this paper we calculate the interfacial resistances to heat and mass transfer through a liquid-vapor interface in a binary mixture. We use two methods, the direct calculation from the actual non-equilibrium solution and integral relations, derived earlier. We verify, that integral relations, being a relatively faster and cheaper method, indeed gives the same results as the direct processing of a non-equilibrium solution. Furthermore we compare the absolute values of the interfacial resistances with the ones obtained from kinetic theory. Matching the diagonal resistances for the binary mixture we find that kinetic theory underestimates the cross coefficients. The heat of transfer is as a consequence correspondingly larger.