A Guide through Available Mixture Theories for Applications in Critical Reviews in Solid State and Material Science

作者：Klika Vaclav^*

来源：Critical Reviews in Solid State and Materials Sciences, 2014, 39(2): 154-174.

DOI：10.1080/10408436.2012.719132

• theory of mixtures
• theory of multiphase flow
• classical irreversible thermodynamics
• entropy production
• Truesdell's metaphysical principles

In this article, we discuss the approaches used in the theory of mixtures and provide a critical review from a fresh perspective with the aim to identify limitations and open questions inherent to various versions of the theory. Such a discussion could serve as a guide to the formulation of a model for the problem at hand. We look into the frequently neglected area of kinematic description, drawing from this field criticism of third Truesdell's metaphysical principle. Balance laws are carefully formulated for partial quantities with discontinuities for both theory of interacting continua and for averaging theories. Further, we discuss definitions of mixture quantities together with Truesdell's metaphysical principles. Finally, we use classical irreversible thermodynamics to derive entropy production for mixture as a whole and thus reaching an extension of its classical form, evolution equations (phenomenological equations), and constitutive relations. As this fundamental step is very much dependent on the use of non equilibrium thermodynamics, we give a brief overview of the theories available.

• 出版日期2014-1-1