Lattice Boltzmann Simulation on Molten Carbonate Fuel Cell Performance

Based on a model of a porous electrode, we make a detailed numerical simulation on molten carbonate fuel cell MCFC performance by using the lattice Boltzmann method LBM. We apply Brinkman-Forchheimer-extended Darcy equations generalized momentum equation together with a reaction-diffusion equation with several reasonable assumptions and, to simulate more realistic physical conditions, we consider a curved boundary lying between the nodes of equal lattice space. As an attempt to assess the validity and efficiency of our model, two benchmark problems are investigated, including i the calculation of the dependence of generated current density on averaged gas velocity and the comparison between the result obtained by the LBM and by some other analytical solutions; ii the comparison between the result by the LBM calculation and the one by measuring experimentally the current density of test series in an overall range of H2 concentration. An excellent agreement is found between the results from the LBM calculation and those from the experiment. In addition, the dependence of CO2 removal rate on current density, the contributions of CO2 concentration and O2 concentration on cell performance, and the relations of cell voltage and power density with current density load are also studied.

[1]  Gerald Wilemski.  Simple Porous Electrode Models for Molten Carbonate Fuel Cells , 1983 .

[2]  K. Hemmes,et al.  On modelling molten carbonate fuel-cell cathodes by electrochemical potentials , 2000 .

[3]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[4]  J. R. Selman,et al.  Polarization of the Molten Carbonate Fuel Cell Anode and Cathode , 1984 .

[5]  Using Digital Imaging to Characterize Threshold Dynamic Parameters in Porous Media Based on Lattice Boltzmann Method , 2004 .

[6]  Hongtan Liu,et al.  Modelling of performance of PEM fuel cells with conventional and interdigitated flow fields , 1999 .

[7]  Zhifang Lin,et al.  Lattice Boltzmann simulation of viscous fluid systems with elastic boundaries , 1998 .

[8]  I. Uchida,et al.  In Situ Raman Spectroelectrochemistry of Oxygen Species on Gold Electrodes in High Temperature Molten Carbonate Melts , 2004 .

[9]  A Stochastic Structure Model for Liquid-Electrolyte Fuel Cell Electrodes, with Special Application to MCFCs II. Effect of Structure on Performance , 2004 .

[10]  O. Filippova,et al.  Lattice-Boltzmann simulation of gas-particle flow in filters , 1997 .

[11]  S. Mitsushima,et al.  Analysis of Oxygen Reduction on Pt Microelectrode with Polymer Electrolytes of Various Exchange Capacities , 2002 .

[12]  Zhaoli Guo,et al.  Lattice Boltzmann model for incompressible flows through porous media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Wei Shyy,et al.  Regular Article: An Accurate Curved Boundary Treatment in the Lattice Boltzmann Method , 1999 .

[14]  J. Feder,et al.  Dynamics of slow drainage in porous media , 1992 .

[15]  B. Shi,et al.  An extrapolation method for boundary conditions in lattice Boltzmann method , 2002 .

[16]  David R. Noble,et al.  A consistent hydrodynamic boundary condition for the lattice Boltzmann method , 1995 .

[17]  Physico-Mathematical Model of the Gas Flow in the Channel between the Separator Plate and the Anode of a Fuel Cell with Molten Carbonate Electrolyte , 2003 .

[18]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[19]  H. Ted Davis,et al.  Application of the lattice‐Boltzmann method to study flow and dispersion in channels with and without expansion and contraction geometry , 1999 .

[20]  D. Simonsson,et al.  A heterogeneous model for the MCFC cathode , 1995 .

[21]  S. Ergun.  Fluid flow through packed columns , 1952 .

[22]  Mei Zhu,et al.  Current and Overpotential Distribution Mathematical Model of the Porous Electrode Based on the Three-Phase Boundary Length , 2005 .

[23]  Matthaeus,et al.  Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[24]  Qinjun Kang,et al.  Lattice Boltzmann simulation of chemical dissolution in porous media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  J. R. Selman,et al.  Porous‐Electrode Modeling of the Molten‐Carbonate Fuel‐Cell Electrodes , 1992 .

[26]  Sauro Succi,et al.  The permeability of a random medium: Comparison of simulation with theory , 1990 .

[27]  Carina Lagergren,et al.  Mathematical modelling of the MCFC cathode on the linear polarisation of the NiO cathode , 1997 .

[28]  Zhaoli Guo,et al.  A LATTICE BOLTZMANN MODEL FOR CONVECTION HEAT TRANSFER IN POROUS MEDIA , 2005 .

[29]  Ralph E. White,et al.  Full Cell Mathematical Model of a MCFC , 2003 .

[30]  L. Luo,et al.  Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model , 1997 .

[31]  Kimihiko Sugiura,et al.  The carbon dioxide concentrator by using MCFC , 2003 .

[32]  Kambiz Vafai,et al.  Convective flow and heat transfer in variable-porosity media , 1984, Journal of Fluid Mechanics.

[33]  I. Uchida,et al.  Kinetic study of oxygen reduction in molten Li2CO3-Na2CO3 under pressurized conditions , 1993 .

[34]  J. Robert Selman,et al.  A Stochastic Structure Model for Liquid-Electrolyte Fuel Cell Electrodes, with Special Application to MCFCs I. Electrode Structure Generation and Characterization , 2004 .

[35]  Barbara Bosio,et al.  Preliminary experimental and theoretical analysis of limit performance of molten carbonate fuel cells , 2001 .

[36]  K. N. Seetharamu,et al.  Natural convective heat transfer in a fluid saturated variable porosity medium , 1997 .

[37]  Maurizio Fermeglia,et al.  Process Simulation for Molten Carbonate Fuel Cells , 2005 .

[38]  Michael Mangold,et al.  Nonlinear Model Reduction of a Two‐Dimensional MCFC Model with Internal Reforming , 2004 .

[39]  Shiyi Chen,et al.  Lattice Boltzmann computations for reaction‐diffusion equations , 1993 .