Mathematical Models: A General Overview

[1]  Stuart B. Adler,et al.  Electrode Kinetics of Porous Mixed‐Conducting Oxygen Electrodes , 1996 .

[2]  Randall Gemmen,et al.  Effect of load transients on SOFC operation—current reversal on loss of load , 2005 .

[3]  Werner Lehnert,et al.  Modelling of gas transport phenomena in SOFC anodes , 2000 .

[4]  Sadik Kakac,et al.  Two‐dimensional model for proton exchange membrane fuel cells , 1998 .

[5]  G. Smith,et al.  Numerical Solution of Partial Differential Equations: Finite Difference Methods , 1978 .

[6]  Roberto Bove,et al.  The effect of current collectors configuration on the performance of a tubular SOFC , 2005 .

[7]  L. Gauckler,et al.  State-space modeling of the anodic SOFC system Ni, H2–H2O∣YSZ , 2002 .

[8]  Comas Haynes,et al.  ‘Design for power’ of a commercial grade tubular solid oxide fuel cell , 2000 .

[9]  C. Hirsch,et al.  Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.

[10]  K. Kendall,et al.  High temperature solid oxide fuel cells : fundamentals, design and applicatons , 2003 .

[11]  R. Herbin,et al.  Three-dimensional numerical simulation for various geometries of solid oxide fuel cells , 1996 .

[12]  D. Favrat,et al.  CFD simulation tool for solid oxide fuel cells , 2004 .

[13]  Stefano Campanari,et al.  Thermodynamic model and parametric analysis of a tubular SOFC module , 2001 .

[14]  A. Ioselevich,et al.  Phenomenological Theory of Solid Oxide Fuel Cell Anode , 2001 .

[15]  R. Reid,et al.  The Properties of Gases and Liquids , 1977 .

[16]  R. Eymard,et al.  Finite Volume Methods , 2019, Computational Methods for Fluid Dynamics.

[17]  A. Hamnett.  Electrode kinetics for chemists, chemical engineers and material scientists: Eliezer Gileadi VCH, Weinheim; New York; Basel; Cambridge; Tokyo 1993 pp 597 £65.00 , 1995 .

[18]  Steven Beale,et al.  Calculation procedure for mass transfer in fuel cells , 2004 .

[19]  Jon G. Pharoah,et al.  Modeling radiation heat transfer with participating media in solid oxide fuel cells , 2006 .

[20]  M. Khaleel,et al.  A finite element analysis modeling tool for solid oxide fuel cell development: coupled electrochemistry, thermal and flow analysis in MARC® , 2004 .

[21]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[22]  Kohei Ito,et al.  Performance analysis of planar-type unit SOFC considering current and temperature distributions , 2000 .

[23]  E. Achenbach.  Three-dimensional and time-dependent simulation of a planar solid oxide fuel cell stack , 1994 .

[24]  Aristide F. Massardo,et al.  Design and part-load performance of a hybrid system based on a solid oxide fuel cell reactor and a micro gas turbine , 2001 .

[25]  J. Z. Zhu,et al.  The finite element method , 1977 .

[26]  A. Virkar,et al.  Dependence of polarization in anode-supported solid oxide fuel cells on various cell parameters , 2005 .

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

[28]  M. Hatano,et al.  Catalytic Behavior of Pd–Ni/Composite Anode for Direct Oxidation of Methane in SOFCs , 2006 .

[29]  Vladimir D. Liseikin,et al.  Grid Generation Methods , 1999 .

[30]  Ellen Ivers-Tiffée,et al.  Oxidation of H2, CO and methane in SOFCs with Ni/YSZ-cermet anodes , 2002 .

[31]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[32]  J. Kestin,et al.  Transport properties of fluids : thermal conductivity, viscosity, and diffusion coefficient , 1988 .

[33]  A. Virkar,et al.  Fuel Composition and Diluent Effect on Gas Transport and Performance of Anode-Supported SOFCs , 2003 .

[34]  Geert Versteeg,et al.  The use of the dusty-gas model for the description of mass transport with chemical reaction in porous media , 1995 .

[35]  S. A. Barnett,et al.  A direct-methane fuel cell with a ceria-based anode , 1999, Nature.

[36]  Ludwig J. Gauckler,et al.  Reaction kinetics of the Pt, O2(g)|c-ZrO2 system : precursor-mediated adsorption , 1999 .

[37]  V. Verda,et al.  A Model for the Configuration Design of a Tubular Solid Oxide Fuel Cell Stack , 2006 .

[38]  F. R. Foulkes,et al.  Energy Analysis of a Steady‐State Electrochemical Reactor , 1982 .

[39]  Thomas Hocker,et al.  Efficient simulation of fuel cell stacks with the volume averaging method , 2003 .

[40]  Jean-François Remacle,et al.  An algorithm oriented mesh database , 2003, IMR.

[41]  J. Young,et al.  Thermodynamic and transport properties of gases for use in solid oxide fuel cell modelling , 2002 .

[42]  Ludwig J. Gauckler,et al.  Identification of the reaction mechanism of the Pt, O2(g)|yttria-stabilized zirconia system: Part I: General framework, modelling, and structural investigation , 1999 .

[43]  Andrei G. Fedorov,et al.  Radiation heat transfer analysis of the monolith type solid oxide fuel cell , 2003 .

[44]  Joe F. Thompson,et al.  Numerical grid generation: Foundations and applications , 1985 .

[45]  Gerry Agnew,et al.  An internal reformer for a pressurised SOFC system , 2006 .

[46]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[47]  M. Fowler,et al.  Performance comparison of Fick’s, dusty-gas and Stefan–Maxwell models to predict the concentration overpotential of a SOFC anode , 2003 .

[48]  S. Campanari,et al.  Definition and sensitivity analysis of a finite volume SOFC model for a tubular cell geometry , 2004 .

[49]  William J. Wepfer,et al.  Prediction of on-design and off-design performance for a solid oxide fuel cell power module , 1996 .

[50]  L. Andreassi,et al.  Modeling Carbon Monoxide Direct Oxidation in Solid Oxide Fuel Cells , 2009 .

[51]  Ismail Celik,et al.  Influence of Radiative Heat Transfer on Variation of Cell Voltage Within a Stack , 2003 .

[52]  S. Whitaker.  Flow in porous media I: A theoretical derivation of Darcy's law , 1986 .

[53]  David R. Basco,et al.  Computational fluid dynamics - an introduction for engineers , 1989 .

[54]  S. Chan,et al.  A complete polarization model of a solid oxide fuel cell and its sensitivity to the change of cell component thickness , 2001 .

[55]  Stefano Ubertini,et al.  Experimental and numerical analysis of a radial flow solid oxide fuel cell , 2007 .

[56]  Edward L Cussler,et al.  Diffusion: Mass Transfer in Fluid Systems , 1984 .

[57]  Andrew Dicks,et al.  Intrinsic reaction kinetics of methane steam reforming on a nickel/zirconia anode , 2000 .

[58]  V. Antonucci,et al.  Micro-modelling of solid oxide fuel cell electrodes , 1998 .

[59]  Jenn-Jiang Hwang,et al.  Computational analysis of species transport and electrochemical characteristics of a MOLB-type SOFC , 2005 .

[60]  S. Yoshioka,et al.  Dependence of Entropy Change of Single Electrodes on Partial Pressure in Solid Oxide Fuel Cells , 1991 .

[61]  S. Sunde.  Simulations of Composite Electrodes in Fuel Cells , 2000 .

[62]  Paola Costamagna,et al.  Electrochemical model of the integrated planar solid oxide fuel cell (IP-SOFC) , 2004 .

[63]  J. Reddy.  An introduction to the finite element method , 1989 .

[64]  Yoshio Matsuzaki,et al.  Evaluation and modeling of performance of anode-supported solid oxide fuel cell , 2000 .

[65]  J. Bear.  Dynamics of Fluids in Porous Media , 1975 .

[66]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[67]  S. Singhal,et al.  Polarization Effects in Intermediate Temperature, Anode‐Supported Solid Oxide Fuel Cells , 1999 .

[68]  E. Gileadi,et al.  Electrode Kinetics for Chemists, Chemical Engineers and Materials Scientists , 1993 .

[69]  L. Gauckler,et al.  Identification of the reaction mechanism of the Pt, O2(g)|yttria-stabilized zirconia system: Part II: Model implementation, parameter estimation, and validation , 1999 .

[70]  Paola Costamagna,et al.  Modeling of Solid Oxide Heat Exchanger Integrated Stacks and Simulation at High Fuel Utilization , 1998 .

[71]  Bharat K. Soni,et al.  Handbook of Grid Generation , 1998 .

[72]  Nigel M. Sammes,et al.  SOFC mathematic model for systems simulations. Part one: from a micro-detailed to macro-black-box model , 2005 .

[73]  Kyle J. Daun,et al.  Radiation heat transfer in planar SOFC electrolytes , 2006 .

[74]  K. Bathe.  Finite Element Procedures , 1995 .

[75]  Adriana Del Borghi,et al.  Detailed Simulation of the Ohmic Resistance of Solid Oxide Fuel Cells , 2007 .

[76]  Wolfgang G. Bessler,et al.  A new computational approach for SOFC impedance from detailed electrochemical reaction–diffusion models , 2005 .

[77]  P. Costamagna,et al.  Micro-Modeling of Solid Oxide Fuel Cell Electrode , 1998 .

[78]  Mohammad A. Khaleel,et al.  The effect of interconnect rib size on the fuel cell concentration polarization in planar SOFCs , 2003 .