Modeling two-phase flow in PEM fuel cell channels

This paper is concerned with the simultaneous flow of liquid water and gaseous reactants in mini-channels of a proton exchange membrane (PEM) fuel cell. Envisaging the mini-channels as structured and ordered porous media, we develop a continuum model of two-phase channel flow based on two-phase Darcy’s law and the M 2 formalism, which allow estimate of the parameters key to fuel cell operation such as overall pressure drop and liquid saturation profiles along the axial flow direction. Analytical solutions of liquid water saturation and species concentrations along the channel are derived to explore the dependences of these physical variables vital to cell performance on operating parameters such as flow stoichiometric ratio and relative humility. The two-phase channel model is further implemented for three-dimensional numerical simulations of two-phase, multi-component transport in a single fuel-cell channel. Three issues critical to optimizing channel design and mitigating channel flooding in PEM fuel cells are fully discussed: liquid water buildup towards the fuel cell outlet, saturation spike in the vicinity of flow cross-sectional heterogeneity, and two-phase pressure drop. Both the two-phase model and analytical solutions presented in this paper may be applicable to more general two-phase flow phenomena through mini- and micro-channels. © 2008 Elsevier B.V. All rights reserved.

[1]  Chao-Yang Wang,et al.  Transient analysis of polymer electrolyte fuel cells , 2005 .

[2]  Trung Van Nguyen,et al.  A Gas Distributor Design for Proton‐Exchange‐Membrane Fuel Cells , 1996 .

[3]  R. D. Vigil,et al.  Vibration-induced mobilization of trapped oil ganglia in porous media: experimental validation of a capillary-physics mechanism. , 2005, Journal of colloid and interface science.

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

[5]  Paola Costamagna,et al.  Quantum jumps in the PEMFC science and technology from the 1960s to the year 2000 ☆: Part II. Engineering, technology development and application aspects , 2001 .

[6]  Chaoyang Wang,et al.  Two-Phase Modeling and Flooding Prediction of Polymer Electrolyte Fuel Cells , 2005 .

[7]  Y. Yortsos,et al.  Capillary Effects in Immiscible Flows in Heterogeneous Porous Media , 1993 .

[8]  Yun Wang,et al.  Analysis of the Key Parameters in the Cold Start of Polymer Electrolyte Fuel Cells , 2007 .

[9]  Chao-Yang Wang,et al.  Analysis of Cold Start in Polymer Electrolyte Fuel Cells , 2007 .

[10]  Adam Z. Weber,et al.  Effects of Microporous Layers in Polymer Electrolyte Fuel Cells , 2005 .

[11]  Jin Hyun Nam,et al.  Effective diffusivity and water-saturation distribution in single- and two-layer PEMFC diffusion medium , 2003 .

[12]  T. Fuller,et al.  A Historical Perspective of Fuel Cell Technology in the 20th Century , 2002 .

[13]  Ned Djilali,et al.  A 3D, Multiphase, Multicomponent Model of the Cathode and Anode of a PEM Fuel Cell , 2003 .

[14]  U. Imke Porous media simplified simulation of single- and two-phase flow heat transfer in micro-channel heat exchangers , 2004 .

[15]  Chao-Yang Wang,et al.  Liquid Water Transport in Gas Diffusion Layer of Polymer Electrolyte Fuel Cells , 2004 .

[16]  Feng-Yuan Zhang,et al.  Liquid Water Removal from a Polymer Electrolyte Fuel Cell , 2006 .

[17]  S. Srinivasan,et al.  Quantum jumps in the PEMFC science and technology from the 1960s to the year 2000 Part I. Fundamental scientific aspects , 2001 .

[18]  Manfred Groll,et al.  Porous medium model for two-phase flow in mini channels with applications to micro heat pipes , 1994 .

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

[20]  A. K. Stubos,et al.  Effects of capillary heterogeneity on vapor-liquid counterflow in porous media , 1992 .

[21]  Chao-Yang Wang,et al.  Fundamental models for fuel cell engineering. , 2004, Chemical reviews.

[22]  Xianguo Li,et al.  Review of bipolar plates in PEM fuel cells: Flow-field designs , 2005 .

[23]  Hubert A. Gasteiger,et al.  Handbook of fuel cells : fundamentals technology and applications , 2003 .

[24]  Chao-Yang Wang,et al.  Two-Phase Transients of Polymer Electrolyte Fuel Cells , 2007 .

[25]  C. Radke,et al.  Three-Dimensional Menisci in Polygonal Capillaries , 1992 .

[26]  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 .

[27]  Chao-Yang Wang,et al.  Simulation of flow and transport phenomena in a polymer electrolyte fuel cell under low-humidity operation , 2005 .

[28]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[29]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[30]  Kek-Kiong Tio,et al.  Thermal Analysis of Inclined Micro Heat Pipes , 2006 .

[31]  Chao-Yang Wang,et al.  Modeling Polymer Electrolyte Fuel Cells with Large Density and Velocity Changes , 2005 .

[32]  Yun Wang Analysis of Transient Phenomena in Polymer Electrolyte Fuel Cells , 2006 .

[33]  Hydraulic conductivity of partially saturated fractured porous media: Flow in a cross-section , 2003 .

[34]  I. G. Kevrekidis,et al.  The stirred tank reactor polymer electrolyte membrane fuel cell , 2003 .

[35]  Chao-Yang Wang,et al.  Model of Two-Phase Flow and Flooding Dynamics in Polymer Electrolyte Fuel Cells , 2005 .

[36]  Chao-Yang Wang,et al.  Visualization and quantification of cathode channel flooding in PEM fuel cells , 2009 .

[37]  John M. Stockie,et al.  A sharp interface reduction for multiphase transport in a porous fuel cell electrode , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

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

[39]  Michael Vynnycky,et al.  Analysis of a Two-Phase Non-Isothermal Model for a PEFC , 2005 .

[40]  Chaoyang Wang,et al.  Visualization of Liquid Water Transport in a PEFC , 2004 .

[41]  Chao-Yang Wang,et al.  Dynamics of polymer electrolyte fuel cells undergoing load changes , 2006 .

[42]  Fuqiang Liu,et al.  Water transport coefficient distribution through the membrane in a polymer electrolyte fuel cell , 2007 .

[43]  H. Meng Numerical investigation of transient responses of a PEM fuel cell using a two-phase non-isothermal mixed-domain model , 2007 .

[44]  Kek-Kiong Tio,et al.  Thermal analysis of micro heat pipes using a porous-medium model , 2000 .

[45]  Klaus Schubert,et al.  High-speed imaging of flow in microchannel array water evaporators , 2005 .

[46]  Chaoyang Wang,et al.  Elucidating differences between carbon paper and carbon cloth in polymer electrolyte fuel cells , 2007 .

[47]  Ruben G. Carbonell,et al.  hydrodynamic parameters for gas-liquid cocurrent flow in packed beds , 1985 .

[48]  Jing-Den Chen,et al.  Measuring the film thickness surrounding a bubble inside a capillary , 1986 .

[49]  Z. H. Wang,et al.  Two-phase flow and transport in the air cathode of proton exchange membrane fuel cells , 2000 .

[50]  Chao-Yang Wang,et al.  Ultra large-scale simulation of polymer electrolyte fuel cells , 2006 .