Abstract
We propose a modeling framework for magnetizable, polarizable, elastic, viscous, heat conducting, reactive mixtures in contact with interfaces. To this end, we first introduce bulk and surface balance equations that contain several constitutive quantities. For further modeling of the constitutive quantities, we formulate constitutive principles. They are based on an axiomatic introduction of the entropy principle and the postulation of Galilean symmetry. We apply the proposed formalism to derive constitutive relations in a rather abstract setting. For illustration of the developed procedure, we state an explicit isothermal material model for liquid electrolyte|metal electrode interfaces in terms of free energy densities in the bulk and on the surface. Finally, we give a survey of recent advancements in the understanding of electrochemical interfaces that were based on this model.
Highlights
The energy transition from fossil fuels to renewable energy sources gives rise to an increasing demand for more efficient energy storage in stationary and mobile applications, cf. [1]
The aim of this work is the formulation of a general modeling framework that allows the derivation of strictly thermodynamically consistent models for the above applications
Due to its importance in electrodynamics and for the upcoming constitutive modelling, we introduce the electromotive intensity and the magnetization
Summary
The energy transition from fossil fuels to renewable energy sources gives rise to an increasing demand for more efficient energy storage in stationary and mobile applications, cf. [1]. Driven processes like electrodialysis and capacitive deionization are investigated since they promise to be commercially competitive and in particular energy efficient, compared to thermal or pressure driven processes, [6,7,8]. A key ingredient for better understanding of the electrochemical processes in the mentioned technologies is the development of better mathematical models. Standard models like the Poisson–Nernst–Planck system, cf e.g., [9,10], suffer from deficiencies that are well known. To develop models for the above mentioned applications, there is the more fundamental problem that additional effects like elastic deformation, stresses or interaction of charge transport with fluid flow have to be included into the models. Extension of the standard model to cover these further effects and other material properties in a consistent way are far from being obvious
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
