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Cover image for PEM fuel cells : thermal and water management fundamentals
Title:
PEM fuel cells : thermal and water management fundamentals
Personal Author:
Publication Information:
New York : Momentum Press, 2013
Physical Description:
xxx, 386 p. :bill. ; 27 cm.
ISBN:
9781606502457

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30000010321721 TK2933.P76 W36 2013 f Open Access Book Book
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Summary

Summary

Polymer Electrolyte Membrane (PEM) fuel cells convert chemical energy in hydrogen into electrical energy with water as the only by-product. Thus, PEM fuel cells hold great promise to reduce both pollutant emissions and dependency on fossil fuels, especially for transportation-passenger cars, utility vehicles, and buses-and small-scale stationary and portable power generators. But one of the greatest challenges to realizing the high efficiency and zero emissions potential of PEM fuel cells technology is heat and water management. This book provides an introduction to the essential concepts for effective thermal and water management in PEM fuel cells and an assessment on the current status of fundamental research in this field. The book offers you: - An overview of current energy and environmental challenges and their imperatives for the development of renewable energy resources, including discussion of the role of PEM fuel cells in addressing these issues; - Reviews of basic principles pertaining to PEM fuel cells, including thermodynamics, electrochemical reaction kinetics, flow, heat and mass transfer; and - Descriptions and discussions of water transport and management within a PEM fuel cell, including vapor- and liquid-phase water removal from the electrodes, the effects of two-phase flow, and solid water or ice dynamics and removal, particularly the specialized case of starting a PEM fuel cell at sub-freezing temperatures (cold start) and the various processes related to ice formation.


Author Notes

Yun Wang obtained his BS from Peking (Beijing) University in China in 1998, and his PhD in Mechanical Engineering from Pennsylvania State University (PSU) in 2006. At PSU, he worked with Prof. Chao-Yang Wang on PEM fuel cells at the Electrochemical Engine Center. He joined the Mechanical and Aerospace Engineering faculty at the University of California, Irvine in 2006. He is currently the director of the Renewable Energy Resources Lab and Associate Professor at the UC Irvine.
Ken S. Chen earned his PhD from the University of Minnesota in Chemical Engineering. He joined Sandia National Labs in 1993, where he is currently a principal member of the technical staff. Dr. Chen has led several collaborative research efforts involving academic, industry, and national labs, which have focused on critical phenomena controlling PEM fuel cell performance, Dr. Chen is an author or co-author or more than 110 archival publications of which about half are on PEM fuel cells and related topics.
Sung Chan Cho is a PhD candidate at the University of California, Irvine. He received an M.S. degree in Mechanical and Aerospace Engineering at Korean Aerospace University and was a Lead Analysis Engineer at GM Korea.


Table of Contents

Prefacep. xi
List of Figuresp. xiii
List of Tablesp. xxiii
Nomenclaturep. xxv
1 Introductionp. 1
1.1 Energy Challengesp. 1
1.2 Fuel Cells and their Roles in Addressing the Energy Challengesp. 3
1.3 PEM Fuel Cellsp. 5
1.3.1 PEM Fuel Cell Operationp. 5
1.3.2 Current Status of PEM Fuel Cellsp. 7
1.3.3 Thermal and Water Managementp. 8
2 Basics of PEM Fuel Cellsp. 11
2.1 Thermodynamicsp. 11
2.1.1 Internal Energy and the First Law of Thermodynamicsp. 11
2.1.2 Enthalpy Changep. 13
2.1.3 Entropy Change and the Second Law of Thermodynamicsp. 14
2.1.4 Gibbs Free Energy and Thermodynamic Voltagep. 17
2.1.5 Chemical Potential and Nernst Equationp. 19
2.1.6 Relative Humidity and Phase Changep. 20
2.2 Electrochemical Reaction Kineticsp. 23
2.2.1 Electrochemical Kineticsp. 24
2.2.2 Electrochemical Mechanisms in PEM Fuel Cellsp. 26
2.2.3 Linear Approximation and Tafel Equationp. 29
2.3 Voltage Loss Mechanisms and a Simplified Modelp. 30
2.3.1 Open Circuit Voltage (OCV)p. 30
2.3.2 Activation Lossp. 30
2.3.3 Ohmic Lossp. 31
2.3.4 Transport Voltage Lossp. 32
2.3.5 Current-Voltage (I-V) Curve and Operation Efficiencyp. 32
2.3.6 Role of Water and Thermal Managementp. 33
2.4 Chapter Summaryp. 34
3 Fundamentals of Heat and Mass Transferp. 37
3.1 Introductionp. 37
3.2 Conservation Equationsp. 38
3.2.1 General Formsp. 38
3.2.2 Mass and Momentum Conservationp. 40
3.2.3 Energy Equationp. 41
3.2.4 Species Transport Equationp. 42
3.3 Constitutive Equationsp. 43
3.3.1 A Lattice Modelp. 43
3.3.2 Fourier's Law and Fick's Lawp. 46
3.4 Scaling and Dimensionless Groupsp. 46
3.4.1 Scaling and Dimensionless Equationsp. 46
3.4.2 Dimensionless Groupsp. 51
3.5 Chapter Summaryp. 51
4 Water and its Transport in the Polymer Electrolyte Membranep. 53
4.1 Introduction to the Polymer Electrolyte Membranep. 53
4.2 Ion Transport and Ionic Conductivityp. 55
4.2.1 Proton Transportp. 55
4.2.2 Ionic Conductivity Correlationsp. 55
4.2.3 Ionic Conductivity Measurementp. 63
4.3 Water Transport in Polymer Electrolyte Membranesp. 67
4.3.1 Transport Mechanismsp. 68
4.3.2 Water Holding Capacityp. 71
4.4 Water Quantification Using Neutron Radiographyp. 73
4.5 Ion Transport in Cathode Catalyst Layersp. 75
4.5.1 Variation in Water Content in Catalyst Layersp. 75
4.5.2 Proton Transport in Cathode Catalyst Layersp. 77
4.5.3 Multiple-Layered Cathode Catalyst Layersp. 80
4.6 Chapter Summaryp. 82
5 Vapor-Phase Water Removal and Managementp. 87
5.1 Mass Transport Overviewp. 87
5.2 Diffusionp. 88
5.2.1 Diffusivityp. 88
5.2.2 Molecular Versus Knudsen Diffusionp. 90
5.2.3 Diffusion in GDLsp. 91
5.3 Species Convectionp. 94
5.3.1 Flow Modeling with Constant-Flow Assumptionp. 94
5.3.2 Flow Formulation Without the Constant-Flow Assumptionp. 94
5.3.3 Convection in GDLsp. 101
5.4 Pore-Scale Transportp. 102
5.4.1 Stochastic Material Reconstructionp. 103
5.4.2 Pore-Scale Transport Modelingp. 105
5.4.3 Pore-Level Phenomenap. 108
5.5 Transient Phenomenap. 114
5.5.1 Transient Terms and Time Constantsp. 114
5.5.2 Transient Undergoing Constant Voltage or Step Change in Voltagep. 115
5.5.3 Transient Undergoing Constant Current or Step Change in Currentp. 119
5.6 Water Management Between a PEM Fuel Cell and Fuel Processorp. 122
5.6.1 Water Balance Modelp. 123
5.6.2 Effect of the Steam-to-Carbon Ratiop. 126
5.7 Chapter Summaryp. 128
6 Liquid Water Dynamics and Removalp. 131
6.1 Multiphase Flow Overviewp. 131
6.1.1 Modeling Multi-Phase Flowsp. 132
6.2 Multiphase Flow in GDLS/CLSp. 133
6.2.1 Experimental Visualizationp. 134
6.2.1.1 X-ray Imagingp. 135
6.2.1.2 Neutron Radiographyp. 135
6.2.2 Multiphase Mixture (M 2 ) Formulationp. 136
6.2.2.1 Flow Equationsp. 137
6.2.2.2 Species Transportp. 138
6.2.2.3 Model Predictionp. 141
6.2.3 Carbon Paper (CP) Versus Carbon Cloth (CC)p. 144
6.2.4 Spatially Varying Propertiesp. 148
6.2.4.1 Through-Plane Variation in The GDL Propertyp. 148
6.2.4.2 In-Plane Property Variation and the Effect of Land Compressionp. 153
6.2.4.3 Microporous Layers (MPLs)p. 154
6.3 Multiphase Flow in Gas Flow Channels (GFCS)p. 159
6.3.1 Experimental Visualizationp. 160
6.3.2 Two-Phase Flow Patternsp. 160
6.3.3 Modeling Two-Phase Flowp. 164
6.3.3.1 The Mixture Modelp. 167
6.3.3.2 Two-Fluid Modelingp. 178
6.4 Water Droplet Dynamics at the GDL/GFC Interfacep. 187
6.4.1 Force Balance on a Spherical-Shape Dropletp. 188
6.4.2 Droplet Deformationp. 193
6.4.3 Droplet Detachmentp. 196
6.4.3.1 Control Volume Methodp. 196
6.4.3.2 Derivation Using the Drag Coefficient (C D )p. 202
6.5 Chapter Summaryp. 205
7 ICE Dynamics and Removalp. 209
7.1 Subfreezing Operation-Overviewp. 209
7.2 Ice Formationp. 211
7.2.1 Water Transport and Conservationp. 211
7.2.2 Three Cold-Start Stagesp. 214
7.2.2.1 First Stage: Membrane Hydrationp. 214
7.2.2.2 Second Stage: Ice Formationp. 215
7.2.2.3 Third Stage: Ice Meltingp. 216
7.3 Voltage Loss Due to Ice Formationp. 220
7.3.1 Spatial Variation of the Oxygen Reduction Reaction (ORR)p. 220
7.3.2 The ORR Rate Under Subfreezing Temperaturep. 222
7.3.3 Oxygen Profile in the Catalyst Layerp. 223
7.3.4 Voltage Loss Due to Ice Formationp. 227
7.3.5 A Model of Cold-Start Cell Voltagep. 228
7.4 State of Subfreezing Waterp. 231
7.5 Chapter Summaryp. 233
8 Thermal Transport and Managementp. 237
8.1 Heat Transfer Overviewp. 237
8.1.1 Heat Transfer and Its Importancep. 237
8.1.2 Heat Transfer Modesp. 240
8.1.2.1 Heat Conductionp. 240
8.1.2.2 Convective Heat Transferp. 241
8.1.2.3 Heat Radiationp. 243
8.1.3 Heat Transfer in Porous Mediap. 245
8.2 Heating Mechanismsp. 246
8.2.1 The Entropic Heatp. 247
8.2.2 Irreversibility of the Electrochemical Reactionsp. 248
8.2.3 The Joules Heatp. 248
8.3 Steady-Slate Heat Transferp. 269
8.3.1 One-Dimensional (1D) Heat Transfer Analysisp. 250
8.3.2 Two-Dimensional (2D) Heat Transfer Analysisp. 251
8.3.3 Numerical Analysisp. 252
8.3.3.1 Macroscopic Model Predictionp. 252
8.3.3.2 Pore-Level Heat Transferp. 255
8.4 Transient Phenomenap. 257
8.4.1 General Transient Operationp. 257
8.4.2 Transient Subfreezing Operationp. 260
8.4.2.1 Temperature Evolution and Voltage Lossp. 260
8.4.2.2 Activation Voltage Lossp. 262
8.4.2.3 Ohmic Voltage Lossp. 263
8.5 Experimental Measurement of Thermal Conductivityp. 265
8.6 Cooling Methodsp. 268
8.6.1 Heat Spreaders Coolingp. 269
8.6.2 Cooling by Air or Liquid Flowp. 272
8.6.3 Phase-Change-Based Coolingp. 273
8.7 Example: A Thermal System of Automotive Fuel Cellsp. 275
8.7.1 A Lumped-System Model of a PEM Fuel Cellp. 276
8.7.2 Bypass Valvep. 277
8.7.3 Radiatorp. 278
8.7.4 Transport Delayp. 279
8.7.5 Fluid Mixerp. 280
8.7.6 Cathode Intercoolerp. 280
8.7.7 Anode Heat Exchangerp. 281
8.8 Chapter Summaryp. 282
9 Coupled Thermal-Water Management! Phase Changep. 285
9.1 Introduction to Phase Changep. 285
9.2 Vapor-Liquid Phase Change: Evaporation and Condensationp. 287
9.2.1 Vapor-Phase Water Diffusion and Heat Pipe Effectp. 288
9.2.2 GDL De-Wettingp. 290
9.2.3 GDL De-Wetting and Voltage Lossp. 295
9.2.4 A General Definition of the Damkohler Number, Dap. 300
9.2.4.1 Local Healing and Vapor-Phase Removalp. 301
9.2.4.2 A Specific Damkohier Numberp. 303
9.2.4.3 Liquid-Free Passagesp. 305
9.2.4.4 2D Numerical Simulationp. 306
9.3 Freezing/Thawingp. 312
9.3.1 Temperature Spatial and Temporal Variationp. 312
9.3.2 Non-Isothermal Cold Startp. 313
9.3.3 Freezing/Thawing and Degradationp. 314
9.4 System-Level Analysis of Coupled Thermal and Water Managementp. 319
9.4.1 Flow Rates of Species and Two-Phase Flowsp. 320
9.4.2 Energy Balancep. 323
9.5 Chapter Summaryp. 325
Appendix II.A Thermodynamic Properties of Air, Hydrogen Gas, and Water Vaporp. 329
Appendix II.B Calculation of the Enthalpy, Entropy, and Gibbs Free Energy For a Substance and the Overall PEM Fuel Cell Reactionp. 333
Appendix III.A Mass, Momentum, and Energy Conservation Equations in the Cartesian, Cylindrical and Spherical Coordinatesp. 337
Appendix III.B Mathematical Basics and Relationsp. 343
Appendix III.C Henry's Constant for Selected Gases in Water at Moderate Pressurep. 347
Appendix IV.A Membrane Materialsp. 349
Appendix IV.B Ion Transport in Electrolytesp. 353
Appendix V.A Transport Properties of Typical Gases at Atmospheric Pressurep. 359
Appendix VI.A Governing Equations of Multiphase Flow and Heat Transfer in Porous Mediap. 363
Appendix VI.B Multiphase Mixture Model in Porous Mediap. 367
Appendix VIII.A Thermal Properties of Selected Materialsp. 373
Indexp. 381
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