Abstract

In this work we present an application of Linear Irreversible Thermodynamics to the problem of diffusion among miscible incompressible fluids. First, we suppose that the mixture density is a function of the volume fractions. This hypothesis allows us to reformulate the interface diffusion problem in terms of transport equations for the concentrations or the mass-volume fractions, the momentum balance equations for the diffusion flux and the energy balance equations for the relative internal energies, respectively. The transport equations so obtained are generalized equations of the classical diffusion equations obtained by means of fluctuating hydrodynamics and the H model of critical dynamics.

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