Review and advances of direct methanol fuel cells: Part II: Modeling and numerical simulation

Abstract The study of direct methanol fuel cells (DMFCs) is a multi-disciplinary science and technology encompassing a variety of sciences, including transport phenomena, material science and electrochemistry. Experimentation is a priceless tool in developing new methods, finding new materials and explaining corresponding phenomena. Along with the experiments, modeling and simulation play a crucial role in providing detailed insights concerning the complex mass, heat and charged particle transport in a DMFC. Modeling is especially important when an experiment is either too expensive to conduct or unable to capture the detailed underlying physics. A comprehensive review of the state-of-the-art modeling studies regarding mass, heat and charge transport in a DMFC is provided. First discussed are the basics of kinetics for electrochemical. It is followed by a description of the differences between various modeling approaches and the most common terminologies in DMFC modeling. A general set of governing equations, along with the corresponding source terms and the constitutive relations, is presented thereafter. A critical review of the most prominent DMFC modeling studies is divided into four topics: (i) water and methanol crossover, (ii) coupled heat and mass transport, (iii) enhanced system energy density, and (iv) start-up and transient operation. The challenges and unresolved issues for DMFC modeling are then reported to conclude the review.

[1]  Hans Müller-Steinhagen,et al.  Modeling non-isothermal two-phase multicomponent flow in the cathode of PEM fuel cells , 2006 .

[2]  J. Divisek,et al.  Process engineering of the direct methanol fuel cell , 2000 .

[3]  Trung Van Nguyen,et al.  A Two-Dimensional, Two-Phase, Multicomponent, Transient Model for the Cathode of a Proton Exchange Membrane Fuel Cell Using Conventional Gas Distributors , 2001 .

[4]  Trung Van Nguyen,et al.  A Two-Dimensional Two-Phase Model of a PEM Fuel Cell , 2006 .

[5]  Amir Faghri,et al.  Effect of the Capillary Property of Porous Media on the Water Transport Characteristics in a Passive Liquid-Feed DMFC , 2010 .

[6]  A. Hamnett,et al.  Mechanism and electrocatalysis in the direct methanol fuel cell , 1997 .

[7]  Tianshou Zhao,et al.  Characteristics of water transport through the membrane in direct methanol fuel cells operating with , 2011 .

[8]  Klaus Gärtner,et al.  Performance Modeling of a Direct Methanol Fuel Cell , 2003 .

[9]  Keith Scott,et al.  A Numerical Model of a Liquid-Feed Solid Polymer Electrolyte DMFC and Its Experimental Validation , 2003 .

[10]  D. Chu,et al.  Comparative Studies of Methanol Crossover and Cell Performance for a DMFC , 2004 .

[11]  Chaoyang Wang,et al.  Water and methanol crossover in direct methanol fuel cells-Effect of anode diffusion media , 2008 .

[12]  J. St-Pierre.  Simple Mathematical Model for Water Diffusion in Nafion Membranes , 2002 .

[13]  Numerical analysis for a vapor feed miniature direct methanol fuel cell system , 2009 .

[14]  Kent S. Udell,et al.  Heat transfer in porous media considering phase change and capillarity—the heat pipe effect , 1985 .

[15]  A. Faghri,et al.  Thermal and Start-Up Characteristics of a Miniature Passive Liquid Feed DMFC System, Including Continuous/Discontinuous Phase Limitations , 2008 .

[16]  Chao-Yang Wang,et al.  Mathematical Modeling of Liquid-Feed Direct Methanol Fuel Cells , 2003 .

[17]  Wenpeng Liu,et al.  Three-Dimensional Simulations of Liquid Feed Direct Methanol Fuel Cells , 2007 .

[18]  A. Kulikovsky.  On the Nature of Mixed Potential in a DMFC , 2005 .

[19]  A. Faghri,et al.  Exergy analysis of a passive direct methanol fuel cell , 2011 .

[20]  Kai Sundmacher,et al.  Dynamics of the direct methanol fuel cell (DMFC): experiments and model-based analysis , 2001 .

[21]  Chao-Yang Wang,et al.  Electron Transport in PEFCs , 2004 .

[22]  Y. Sung,et al.  A Pd-impregnated nanocomposite Nafion membrane for use in high-concentration methanol fuel in DMFC , 2003 .

[23]  A. Faghri,et al.  Analysis of a passive vapor feed direct methanol fuel cell , 2008 .

[24]  J. Newman,et al.  Modeling Two-Phase Behavior in PEFCs , 2004 .

[25]  P. Kauranen,et al.  Mixed methanol oxidation/oxygen reduction currents on a carbon supported Pt catalyst , 1996 .

[26]  Tianshou Zhao,et al.  Modeling of water transport through the membrane electrode assembly for direct methanol fuel cells , 2008 .

[27]  Allen J. Bard,et al.  Electrochemical Methods: Fundamentals and Applications , 1980 .

[28]  Chaoyang Wang,et al.  High concentration methanol fuel cells: Design and theory , 2010 .

[29]  L. Hong,et al.  PPO-based acid–base polymer blend membranes for direct methanol fuel cells , 2008 .

[30]  Shimshon Gottesfeld,et al.  Electro‐osmotic Drag of Water in Ionomeric Membranes New Measurements Employing a Direct Methanol Fuel Cell , 1997 .

[31]  Jae Wook Lee,et al.  Preparation of Nafion/sulfonated poly(phenylsilsesquioxane) nanocomposite as high temperature proton exchange membranes , 2008 .

[32]  Michael Eikerling,et al.  Model of cathode catalyst layers for polymer electrolyte fuel cells: The role of porous structure and water accumulation , 2008 .

[33]  C. Agert,et al.  Passively operated vapor-fed direct methanol fuel cells for portable applications , 2008 .

[34]  Q. Liao,et al.  Determination of oxygen effective diffusivity in porous gas diffusion layer using a three-dimensional pore network model , 2010 .

[35]  Keith Scott,et al.  Performance and modelling of a direct methanol solid polymer electrolyte fuel cell , 1997 .

[36]  K. Karan,et al.  An improved two-dimensional agglomerate cathode model to study the influence of catalyst layer structural parameters , 2005 .

[37]  Novel Approach to Recycling Water and Reducing Water Loss in DMFCs , 2003 .

[38]  Chaoyang Wang,et al.  Mixed potential in a direct methanol fuel cell , 2007 .

[39]  L. Madeira,et al.  Methanol crossover reduction by Nafion modification with palladium composite nanoparticles: Application to direct methanol fuel cells , 2010 .

[40]  Amir Faghri,et al.  Water and air management systems for a passive direct methanol fuel cell , 2007 .

[41]  Mark Pritzker,et al.  Pore network modeling of fibrous gas diffusion layers for polymer electrolyte membrane fuel cells , 2007 .

[42]  Tien-Chien Jen,et al.  Two-phase flow modeling of liquid-feed direct methanol fuel cell , 2008 .

[43]  T. Nguyen,et al.  Modeling the Effects of Capillary Property of Porous Media on the Performance of the Cathode of a PEMFC , 2008 .

[44]  Viatcheslav Berejnov,et al.  Numerical and microfluidic pore networks : Towards designs for directed water transport in GDLs , 2008 .

[45]  Chao-Yang Wang,et al.  Large-scale simulation of polymer electrolyte fuel cells by parallel computing , 2004 .

[46]  Invasion percolation with inlet multiple injections and the water management problem in proton exchange membrane fuel cells , 2010 .

[47]  Shimshon Gottesfeld,et al.  Water and Methanol Uptakes in Nafion Membranes and Membrane Effects on Direct Methanol Cell Performance , 2000 .

[48]  A. Faghri,et al.  A transient, multi-phase and multi-component model of a new passive DMFC , 2006 .

[49]  Mohammad Ali Abdelkareem,et al.  DMFC employing a porous plate for an efficient operation at high methanol concentrations , 2006 .

[50]  Ralph E. White,et al.  Methanol Fuel Cell Model: Anode , 1999 .

[51]  N. Djilali,et al.  Determination of transport parameters for multiphase flow in porous gas diffusion electrodes using a capillary network model , 2007 .

[52]  T. Springer,et al.  Polymer Electrolyte Fuel Cell Model , 1991 .

[53]  Marcos Vera,et al.  A single-phase model for liquid-feed DMFCs with non-Tafel kinetics , 2007 .

[54]  Rong Chen,et al.  Mathematical modeling of a passive-feed DMFC with heat transfer effect , 2005 .

[55]  Zhibing Zhang,et al.  Composite PDMS membrane with high flux for the separation of organics from water by pervaporation , 2004 .

[56]  A. A. Kulikovsky,et al.  Quasi-3D Modeling of Water Transport in Polymer Electrolyte Fuel Cells , 2003 .

[57]  A. Suleman,et al.  Numerical optimization of proton exchange membrane fuel cell cathodes , 2007 .

[58]  A. Kornyshev,et al.  Phenomenological theory of electro-osmotic effect and water management in polymer electrolyte proton-conducting membranes , 1998 .

[59]  C. Ma,et al.  A novel composite membranes based on sulfonated montmorillonite modified Nafion® for DMFCs , 2007 .

[60]  Fuqiang Liu,et al.  Water Transport Through Nafion 112 Membrane in DMFCs , 2005 .

[61]  J. Besenhard,et al.  Preparation of Pd-coated polymer electrolyte membranes and their application in direct methanol fuel cells , 2005 .

[62]  Tianshou Zhao,et al.  Two-phase, mass-transport model for direct methanol fuel cells with effect of non-equilibrium evaporation and condensation , 2007 .

[63]  J. Weidner,et al.  Experimental validation of a methanol crossover model in DMFC applications , 2008 .

[64]  Sandip Mazumder,et al.  Numerical investigation of the effect of cathode catalyst layer structure and composition on polymer electrolyte membrane fuel cell performance , 2008 .

[65]  K. Scott,et al.  Analysis of the kinetics of methanol oxidation in a porous Pt–Ru anode , 2010 .

[66]  Chao-Yang Wang,et al.  A multiphase mixture model for multiphase, multicomponent transport in capillary porous media—II. Numerical simulation of the transport of organic compounds in the subsurface , 1996 .

[67]  Hyuk Chang,et al.  Membrane electrode assembly for passive direct methanol fuel cells , 2006 .

[68]  Hongtan Liu,et al.  A three-dimensional two-phase flow model for a liquid-fed direct methanol fuel cell , 2007 .

[69]  Akeel A. Shah,et al.  Transient non-isothermal model of a polymer electrolyte fuel cell , 2007 .

[70]  Michael Eikerling,et al.  Structure and performance of different types of agglomerates in cathode catalyst layers of PEM fuel cells , 2004 .

[71]  Rong Chen,et al.  Effect of membrane thickness on the performance and efficiency of passive direct methanol fuel cells , 2006 .

[72]  A. A. Kulikovsky,et al.  Two‐Dimensional Simulation of Direct Methanol Fuel Cell. A New (Embedded) Type of Current Collector , 2000 .

[73]  S. Jiang,et al.  Self-assembling multi-layer Pd nanoparticles onto Nafion membrane to reduce methanol crossover , 2005 .

[74]  K. Sundmacher,et al.  Mass, charge and energy transport phenomena in a polymer electrolyte membrane (PEM) used in a direct methanol fuel cell (DMFC): Modelling and experimental validation of fluxes , 2006 .

[75]  A. Manthiram,et al.  N,N'-Bis-(1H-benzimidazol-2-yl)-isophthalamide as an additive in sulfonated polymer membranes for direct methanol fuel cells , 2008 .

[76]  E. Martin,et al.  A kinetic model for the direct methanol fuel cell anode based on surface coverage , 2006 .

[77]  Hongtan Liu,et al.  A three-dimensional mathematical model for liquid-fed direct methanol fuel cells , 2006 .

[78]  Michael Vynnycky,et al.  Reduced Two-Dimensional One-Phase Model for Analysis of the Anode of a DMFC , 2003 .

[79]  Il Moon,et al.  Three-dimensional, two-phase, CFD model for the design of a direct methanol fuel cell , 2006 .

[80]  Michael Eikerling,et al.  Water Management in Cathode Catalyst Layers of PEM Fuel Cells A Structure-Based Model , 2006 .

[81]  A. Faghri,et al.  Effect of the cathode open ratios on the water management of a passive vapor-feed direct methanol fu , 2011 .

[82]  Nathan P. Siegel,et al.  Single domain PEMFC model based on agglomerate catalyst geometry , 2003 .

[83]  T. Nguyen,et al.  Measurement of Capillary Pressure Property of Gas Diffusion Media Used in Proton Exchange Membrane Fuel Cells , 2008 .

[84]  Amir Faghri,et al.  Vapor feed direct methanol fuel cells with passive thermal-fluids management system , 2007 .

[85]  Ravindra Datta,et al.  A comprehensive yet comprehensible analytical model for the direct methanol fuel cell , 2012 .

[86]  Partha P. Mukherjee,et al.  Impact of GDL structure and wettability on water management in polymer electrolyte fuel cells , 2007 .

[87]  A. Vorobev,et al.  A computational model of a PEM fuel cell with finite vapor absorption rate , 2007 .

[88]  Joakim Nordlund,et al.  A Model for the Porous Direct Methanol Fuel Cells Anode , 2002 .

[89]  A. Faghri,et al.  Transient Analysis of a Passive Direct Methanol Fuel Cell Using Pure Methanol , 2010 .

[90]  Werner Lehnert,et al.  Cell voltage transients of a gas-fed direct methanol fuel cell , 2004 .

[91]  Amir Faghri,et al.  Transient modeling and analysis of a passive liquid-feed DMFC , 2008 .

[92]  Chaoyang Wang,et al.  Development and characterization of a silicon-based micro direct methanol fuel cell , 2004 .

[93]  Tianshou Zhao,et al.  In situ measurements of water crossover through the membrane for direct methanol fuel cells , 2007 .

[94]  Koji Moriyama,et al.  An approach to modeling two-phase transport in the gas diffusion layer of a proton exchange membrane fuel cell , 2008 .

[95]  Ibrahim Dincer,et al.  A review on methanol crossover in direct methanol fuel cells: challenges and achievements , 2011 .

[96]  B. Balcom,et al.  Bi-modal water transport behavior across a simple Nafion membrane , 2011 .

[97]  Keith Scott,et al.  The effect of operating conditions on the dynamic response of the direct methanol fuel cell , 2000 .

[98]  Modeling of a passive DMFC operating with neat methanol , 2011 .

[99]  Chao-Yang Wang,et al.  A Nonisothermal, Two-Phase Model for Polymer Electrolyte Fuel Cells , 2006 .

[100]  M. Verbrugge.  Methanol Diffusion in Perfluorinated Ion‐Exchange Membranes , 1989 .

[101]  Chao-Yang Wang,et al.  Pore-network modeling of liquid water transport in gas diffusion layer of a polymer electrolyte fuel cell , 2007 .

[102]  D. Chu,et al.  The influence of methanol on O[sub 2] electroreduction at a rotating Pt disk electrode in acid electrolyte , 1994 .

[103]  Angelika Heinzel,et al.  A review of the state-of-the-art of the methanol crossover in direct methanol fuel cells , 1999 .

[104]  Kaspar Andreas Friedrich,et al.  Performance and methanol permeation of direct methanol fuel cells: dependence on operating conditions and on electrode structure , 2004 .

[105]  N. Chandrakumar,et al.  PVA-PSSA Membrane with Interpenetrating Networks and its Methanol Crossover Mitigating Effect in DMFCs , 2008 .

[106]  Hongtan Liu,et al.  Real time measurements of methanol crossover in a DMFC , 2007 .

[107]  Johan Ko,et al.  Comparison of numerical simulation results with experimental current density and methanol-crossover , 2011 .

[108]  Kai Sundmacher,et al.  Analysis of the nonlinear dynamics of a direct methanol fuel cell , 2001 .

[109]  Start-up and steady-state operation of a passive vapor-feed direct methanol fuel cell fed with pure methanol , 2012 .

[110]  Wenpeng Liu,et al.  Modeling water transport in liquid feed direct methanol fuel cells , 2007 .

[111]  Ya-Ling He,et al.  Numerical study of the effect of the GDL structure on water crossover in a direct methanol fuel cell , 2012 .

[112]  Tianshou Zhao,et al.  Numerical investigations of effect of membrane electrode assembly structure on water crossover in a liquid-feed direct methanol fuel cell , 2009 .

[113]  Michael Vynnycky,et al.  Reduced Two-Phase Model for Analysis of the Anode of a DMFC , 2004 .

[114]  Synthesis and characterization of homogeneously sulfonated poly(ether ether ketone) membranes: Effect of casting solvent , 2008 .

[115]  Adam Z. Weber,et al.  Coupled Thermal and Water Management in Polymer Electrolyte Fuel Cells , 2006 .

[116]  Antonino S. Aricò,et al.  An NMR and SAXS investigation of DMFC composite recast Nafion membranes containing ceramic fillers , 2006 .

[117]  Jin Hyun Nam,et al.  Steady saturation distribution in hydrophobic gas-diffusion layers of polymer electrolyte membrane fuel cells: A pore-network study , 2010 .

[118]  Ya-Ling He,et al.  A two-dimensional two-phase mass transport model for direct methanol fuel cells adopting a modified agglomerate approach , 2008 .

[119]  H. Na,et al.  Layer-by-layer self-assembly of in situ polymerized polypyrrole on sulfonated poly(arylene ether ketone) membrane with extremely low methanol crossover , 2009 .

[120]  Chao-Yang Wang,et al.  Liquid water transport in a mixed-wet gas diffusion layer of a polymer electrolyte fuel cell , 2008 .

[121]  J. Pauchet,et al.  Pore network modeling: Application to multiphase transport inside the cathode catalyst layer of proton exchange membrane fuel cell , 2011 .

[122]  A. Kulikovsky,et al.  The voltage–current curve of a direct methanol fuel cell: “exact” and fitting equations , 2002 .

[123]  Fuqiang Liu,et al.  Low Crossover of Methanol and Water Through Thin Membranes in Direct Methanol Fuel Cells , 2006 .

[124]  Kevin G. Gallagher,et al.  Capillary Pressure Saturation Relations for PEM Fuel Cell Gas Diffusion Layers , 2008 .

[125]  Afzal Suleman,et al.  Multi-variable optimization of PEMFC cathodes using an agglomerate model , 2007 .

[126]  Hubert A. Gasteiger,et al.  Methanol electrooxidation on well-characterized Pt-Ru alloys , 1993 .

[127]  Christian Hentschel,et al.  Characterisation of a portable DMFC stack and a methanol-feeding concept , 2006 .

[128]  Roger Dougal,et al.  Mathematical Model of a Direct Methanol Fuel Cell , 2004, 2003.04083.

[129]  Ya-Ling He,et al.  Modeling the effect of anisotropy of gas diffusion layer on transport phenomena in a direct methanol fuel cell , 2010 .

[130]  A. Faghri,et al.  Analysis of heat and mass transport in a miniature passive and semi passive liquid-feed direct methanol fuel cell , 2010 .

[131]  Trung Van Nguyen,et al.  Three-Dimensional Simulation of Liquid Water Distribution in a PEMFC with Experimentally Measured Capillary Functions , 2007 .

[132]  Christoph Beckermann,et al.  A two-phase mixture model of liquid-gas flow and heat transfer in capillary porous media—I. Formulation , 1993 .

[133]  Jin Hyun Nam,et al.  Pore-network analysis of two-phase water transport in gas diffusion layers of polymer electrolyte membrane fuel cells , 2009 .

[134]  Yuko Aoyama,et al.  Investigation of the Microstructure in the Catalyst Layer and Effects of Both Perfluorosulfonate Ionomer and PTFE‐Loaded Carbon on the Catalyst Layer of Polymer Electrolyte Fuel Cells , 1995 .

[135]  Jeremy P. Meyers,et al.  Simulation of the Direct Methanol Fuel Cell II. Modeling and Data Analysis of Transport and Kinetic Phenomena , 2002 .

[136]  Keith Promislow,et al.  The Impact of Membrane Constraint on PEM Fuel Cell Water Management , 2007 .

[137]  Alexandra M.F.R. Pinto,et al.  Heat and mass transfer effects in direct methanol fuel cell: 1D model , 2008 .

[138]  Keith Scott,et al.  Performance of a direct methanol fuel cell , 1998 .

[139]  A. A. Kulikovsky,et al.  Two-dimensional numerical modelling of a direct methanol fuel cell , 2000 .

[140]  Mohammad Ali Abdelkareem,et al.  Factors affecting methanol transport in a passive DMFC employing a porous carbon plate , 2007 .

[141]  John Newman,et al.  A theoretical study of membrane constraint in polymer-electrolyte fuel cells , 2004 .

[142]  Chao-Yang Wang,et al.  A multiphase mixture model for multiphase, multicomponent transport in capillary porous media—I. Model development , 1996 .

[143]  A. Faghri,et al.  Transport phenomena in a semi-passive direct methanol fuel cell , 2010 .

[144]  Hae-Kyoung Kim,et al.  Passive direct methanol fuel cells fed with methanol vapor , 2006 .

[145]  Jeremy P. Meyers,et al.  Simulation of the Direct Methanol Fuel Cell III. Design and Optimization , 2002 .

[146]  H. Allcock,et al.  Inorganic-organic hybrid polymers with pendent sulfonated cyclic phosphazene side groups as potential proton conductive materials for direct methanol fuel cells , 2008 .

[147]  Chaoyang Wang,et al.  Modeling liquid water transport in gas diffusion layers by topologically equivalent pore network , 2010 .

[148]  Ulrike Krewer,et al.  Transfer function analysis of the dynamic behaviour of DMFCs: Response to step changes in cell current , 2006 .

[149]  A. Kulikovsky.  A model for mixed potential in direct methanol fuel cell cathode , 2012 .

[150]  Partha P. Mukherjee,et al.  Optimization of polymer electrolyte fuel cell cathode catalyst layers via direct numerical simulation modeling , 2007 .

[151]  Tianshou Zhao,et al.  A two-dimensional, two-phase mass transport model for liquid-feed DMFCs , 2007 .

[152]  Mohammad Ali Abdelkareem,et al.  Control of methanol transport and separation in a DMFC with a porous support , 2006 .

[153]  Sarwan S. Sandhu,et al.  Prediction of methanol and water fluxes through a direct methanol fuel cell polymer electrolyte membrane , 2005 .

[154]  A. Faghri,et al.  Mass transport analysis of a passive vapor-feed direct methanol fuel cell , 2010 .

[155]  Keith Scott,et al.  Dynamic response of the direct methanol fuel cell under variable load conditions , 2000 .

[156]  Jeremy P. Meyers,et al.  Simulation of the Direct Methanol Fuel Cell I. Thermodynamic Framework for a Multicomponent Membrane , 2002 .

[157]  Hua Meng,et al.  A three-dimensional PEM fuel cell model with consistent treatment of water transport in MEA , 2006 .

[158]  T. Zhao,et al.  Effect of water concentration in the anode catalyst layer on the performance of direct methanol fuel cells operating with neat methanol , 2012 .

[159]  N. Djilali,et al.  Influence of heat transfer on gas and water transport in fuel cells , 2002 .

[160]  A. Faghri,et al.  Development of a High Performance Passive Vapor-Feed DMFC Fed with Neat Methanol , 2010 .

[161]  Ih. Oh,et al.  Modification of polymer electrolyte membranes for DMFCs using Pd films formed by sputtering , 2002 .

[162]  K. Sundmacher,et al.  Understanding the dynamic behaviour of direct methanol fuel cells: Response to step changes in cell current , 2007 .

[163]  Zhiyu Jiang,et al.  Determination of the entropy change of the electrode reaction by an ac electrochemical–thermal method , 1999 .

[164]  Amir Faghri,et al.  Transport Phenomena in Multiphase Systems , 2006 .

[165]  Tianshou Zhao,et al.  Three-dimensional two-phase mass transport model for direct methanol fuel cells , 2007 .

[166]  A. Faghri,et al.  Effect of the Capillary Property of Porous Media on the Water Transport Characteristics in a Passive Liquid-Feed DMFC , 2010 .

[167]  Performance of catalyst layers of polymer electrolyte fuel cells: exact solutions , 2002 .

[168]  T. Zhao,et al.  Modelling of coupled electron and mass transport in anisotropic proton-exchange membrane fuel cell electrodes , 2008 .

[169]  Emanuel Peled,et al.  Water-neutral micro direct-methanol fuel cell (DMFC) for portable applications , 2003 .

[170]  Rong Chen,et al.  Two-dimensional two-phase thermal model for passive direct methanol fuel cells , 2008 .

[171]  A. Faghri,et al.  Water Management in a Passive DMFC Using Highly Concentrated Methanol Solution , 2011 .

[172]  Shigeo Shibata,et al.  The electrochemical Peltier heat for the adsorption and desorption of hydrogen on a platinized platinum electrode in sulfuric acid solution , 1985 .

[173]  C. Radke,et al.  Isothermal ice crystallization kinetics in the gas-diffusion layer of a proton-exchange-membrane fuel cell. , 2012, Langmuir : the ACS journal of surfaces and colloids.

[174]  Sreenivas Jayanti,et al.  Comprehensive one-dimensional, semi-analytical, mathematical model for liquid-feed polymer electrolyte membrane direct methanol fuel cells , 2009 .

[175]  A. Kulikovsky,et al.  Analytical model of the anode side of DMFC: the effect of non-Tafel kinetics on cell performance , 2003 .

[176]  A. Faghri,et al.  Analysis of an active tubular liquid-feed direct methanol fuel cell , 2011 .

[177]  H. Ohashi,et al.  The Effect of Methanol Crossover on the Cathode Overpotential of DMFCs , 2011 .

[178]  Weiwei Yang,et al.  A transient two-phase mass transport model for liquid feed direct methanol fuel cells , 2008 .

[179]  Keith Promislow,et al.  The effects of water and microstructure on the performance of polymer electrolyte fuel cells , 2006 .

[180]  S. Kandlikar,et al.  Thermal management issues in a PEMFC stack – A brief review of current status , 2009 .

[181]  Jeremy P. Meyers,et al.  Modeling of Coupled Multiphase Transport in Direct Methanol Fuel Cell Diffusion Layers , 2011 .

[182]  Chaoyang Wang,et al.  Role of hydrophobic anode MPL in controlling water crossover in DMFC , 2009 .