Lectures & Tutorials

  • For PhD and MSc students. Spring 2021/2022
  • Where & when = Thursdays, 14:00-16:30, K9.
  • Language: Czech or English
  • Requirements for the exam: To pass thee exam you should understand the fundamental parts of the theory.
  • Requirements for the tutorials: To pass the practicals, you should solve the homework problems and pass the test.
  • Some content is based on our book.
  • The Julia parts are based on lectures of Jürgen Fuhrmann (WIAS).

Redox Flow Battery English

Lectures

  1. Principals of operation: Battery (lead acid), hydrogen fuel cells, vanadium redox flow battery. Levels of description. Entropy, principle of maximum entropy (MaxEnt), microcanonical, canonical, grand-canonical distributions, fermions, bosons.
  2. Liouville entropy, Boltzmann entropy, entropy of ideal gas, thermodynamic potentials, Legendre tranformations, functional derivatives, chemical potential
  3. Entropy for binary mixtures, thermodynamic potentials for ideal mixture. Activities. Adsorption, Langmuir isotherm.
  4. Heat, work and approach to equilibrium. Electrostatics (capacitor, Debye screening) and electrodynamics
  5. Compressible fluid mechanics. Electrodynamics of charged fluids. Reduction of electrodynamics of charged fluids to mechanical equilibrium, electrochemical potential. Electrochemical reactions. Introduction to Julia.
  6. Electrodynamics and mixtures. Maxwell-Stefan interdiffusion equations. Finite volume method. Jürgen Fuhrmann's package VoronoiFVM.
  7. Modeling of fuel cells
  8. Keywords: Chemical potential (pure substances and dilute solutions), Gibbs energy, entropy of mixing, electrochemical potential, electrodiffusion equations, electrochemical reactions, fuel cells, batteries, finite volume method.