Front Cover; Analytical Modeling of Fuel Cells; Copyright; Contents; Preface to the First Edition; Preface to the Second Edition; Introduction; Dimensionless variables; Maple codes; 1 Fuel cell basics; 1.1 Fuel cell thermodynamics; 1.1.1 The physics of the fuel cell effect; 1.1.2 Open-circuit voltage; 1.1.3 Nernst equation; 1.1.4 Temperature dependence of open-circuit voltage; 1.2 Potentials in a fuel cell; 1.3 Rate of electrochemical reactions; 1.3.1 Butler-Volmer equation; 1.3.2 Butler-Volmer and Nernst equations; 1.3.3 Tafel equation; 1.4 Mass transport in fuel cells
1.4.1 Overview of mass transport processes1.4.2 Stoichiometry and utilization; 1.4.3 Quasi-2D approximation; 1.4.4 Mass conservation equation in the channel; 1.4.5 Flow velocity in the channel; 1.4.6 Mass transport in gas diffusion/backing layers; Fick's diffusion; Stefan-Maxwell diffusion; 1.4.7 Mass transport in catalyst layers; 1.4.8 Proton and water transport in membrane; 1.5 Sources of heat in a fuel cell; 1.6 Types of cells considered in this book; 1.6.1 Polymer electrolyte fuel cells (PEFCs); 1.6.2 Direct methanol fuel cells (DMFCs); 1.6.3 Solid oxide fuel cells (SOFCs)
2 Catalyst layer performance2.1 Basic equations; 2.1.1 The general case; 2.1.2 First integral; 2.2 Ideal oxygen and proton transport; 2.3 Ideal oxygen transport; 2.3.1 Basic equations; 2.3.2 Integral of motion; 2.3.3 Equation for proton current; 2.3.4 Low cell current; 2.3.5 High cell current; 2.3.6 Polarization curve; 2.3.7 Condition of negligible oxygen transport loss; 2.4 Ideal proton transport; 2.4.1 Basic equations; 2.4.2 The x-shapes and polarization curve; 2.4.3 Large zeta; 2.4.4 Small zeta; 2.5 Optimal oxygen diffusion coef cient; 2.5.1 Reduction of the full system
2.5.2 Optimal oxygen diffusivity2.6 Complete polarization curve of a PEMFC; 2.6.1 Model equations; 2.7 Gradient of catalyst loading; 2.7.1 Model; 2.7.2 Polarization curve; 2.8 DMFC cathode and mixed potential; 2.8.1 Model; Basic equations; Boundary conditions; First integral; 2.8.2 Mixed potential; 2.9 DMFC anode; 2.9.1 The rate of methanol oxidation; 2.9.2 Basic equations and the conservation law; 2.9.3 The general form of the polarization curve; 2.9.4 Small variation of overpotential in the active layer; 2.9.5 Active layer of variable thickness; 2.10 Heat balance in the catalyst layer
2.10.1 Heat transport equation in the CL2.10.2 Reduction to boundary condition; 2.10.3 Solution to the heat transport equation; 2.11 Remarks on Chapter 2; 3 One-dimensional model of a fuel cell; 3.1 Voltage loss due to oxygen transport in the GDL; 3.2 One-dimensional polarization curve of a cell; 3.2.1 Fast oxygen transport in the CCL; 3.2.2 General equation for the PEMFC polarization curve; Polarization curve tting; 3.3 One-dimensional model of DMFC; 3.3.1 Feed molecule concentration in the active layers; Methanol; Oxygen; 3.3.2 One-dimensional polarization curve of DMFC

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Context of Analytical modelling of fuel cells, Andrei A. Kulikovsky

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