On an evolution criterion of homogeneous multi-component mixtures with chemical transformation

In this paper, a thermodynamically stable evolution criterion for homogeneous multi-component mixtures with chemical transformation is proposed. The approach is motivated and governed by physical considerations strongly related to the second law of the thermodynamics. More precisely we show that there exists some potential function directly defined on the space of the extensive and/or intensive variables for any transformation, and that meets the evolution criterion without any restriction on the chemical reaction kinetics. As a consequence the irreversibility degree or passivity of the mixture under mass transfer and transport phenomena is explicitly expressed. Some numerical simulations for a homogeneous binary mixture with chemical reaction under multiplicity are given to validate our theoretical developments.