Development of reduced models for proton exchange membrane fuel cells

Preface

Acknowledgements

Summary

List of Tables

List of Figures

List of Symbols

Introduction

Proton Exchange Membrane Fuel Cell

Literature review

One-dimensional models
Two-dimensional models
- `Across-the-channel' models
- `Along-the-channel' models
Three-dimensional models
Fuel cell stack models
Summary

Mathematical formulations

Geometrical Reduction of Three-Dimensional Flow Channels into Two-Dimensional Porous Counterparts in Fuel Cells

Introduction
Mathematical formulation
- 3D model
- Geometrically reduced 2D Model
Numerics
Correlation
- Correlation for transport properties of the flow fields
- Correlation for parameters of the gas diffusion layers and current collectors
Verification
Conclusions

Scaling Analysis and a Simple Correlation for the Cathode of a PEMFC

Introduction
- Governing equations
- Boundary conditions
Scaling analysis
- Nondimensional form
- Determination of scales
Correlation for cathode performance
Results and discussion
- Cathode performance and validation
- A correlation for the overall cell performance
Conclusions

Development of Fast and Efficient Mathematical Models for the Cathode of a PEMFC

Introduction
- Governing equations
- Governing equations for the reduced model
- Potentiostatic vs. galvanostatic boundary condition
Results and discussion
- Validation
- Verification
- Computational cost
Conclusions

Validated Reduction and Accelerated Numerical Computation of a Model for the PEMFC

Asymptotically Reduced Model for a PEMFC Stack: Automated Model Generation and Verification

Introduction
Mathematical Formulation
- Full set of governing equations
- Reduced governing equations
- Reduced boundary conditions
Numerics
Automated Model Generation
Calibration and Validation
Verification without perturbations between cells
Verification with perturbations between cells
Computational Cost and Efficiency
Conclusions

Computationally Efficient Multi-Phase Models for a PEMFC: Asymptotic Reduction and Thermal Decoupling

Conclusions and Future Work

Bibliography