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Updated: Aug 5, 2025
09:20
A Method to Manipulate Surface Tension of a Liquid Metal via Surface Oxidation and Reduction
Published on: January 26, 2016
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Galilean Bulk-Surface Electrothermodynamics and Applications to Electrochemistry
Rüdiger Müller1, Manuel Landstorfer1
1Weierstrass-Institute, Mohrenstr. 39, 10117 Berlin, Germany.
Entropy (Basel, Switzerland)
|March 29, 2023
Summary
This study couples non-equilibrium thermodynamics with simplified Maxwell equations for charged viscous mixtures. The approach simplifies analysis and estimates limitations for electrochemical systems with surface reactions.
Area of Science:
- Thermodynamics
- Electromagnetism
- Fluid Mechanics
Background:
- Coupling non-equilibrium thermodynamics with Maxwell equations is complex.
- Simplifying Maxwell equations aids analysis of coupled systems.
- Understanding charged reacting mixtures in viscous media is crucial.
Purpose of the Study:
- To couple balance equations of non-equilibrium thermodynamics with Galilean limit systems of Maxwell equations.
- To analyze charged reacting mixtures in viscous media within a defined volume.
- To develop a model framework applicable to electrochemical systems with surface reactions.
Main Methods:
- Coupling non-equilibrium thermodynamics with quasi-electrostatic or quasi-magnetostatic limits of Maxwell equations.
- Considering a volume divided by a moving singular surface with charged reacting mixtures.
- Applying an entropy principle to derive constitutive relations and analyze stress/momentum balance.
Main Results:
- Achieved coupling of matter and electromagnetic field equations with identical transformation properties.
- Developed a more straightforward application of the entropy principle.
- Provided constitutive relations, including analysis of the stress tensor and momentum balance for non-constant scalar susceptibility.
Conclusions:
- The derived model framework simplifies the analysis of coupled thermodynamic and electromagnetic systems.
- The approach provides insights into the limitations of more general models.
- The framework is applicable to electrochemical systems with surface reactions.
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