Fuel Cell Modelling
To date, there is no complete computational model for fuel cell stacks including all the phenomena together. Nevertheless, increasing focus on this topic has produced rudimentary attempts which will probably support later studies. Available experimental data and mathematical models have been obtained for very restricted and idealized situations, and do not take into account of phenomena other than the one investigated. Both experimental and analytical/numerical studies need to be conducted and compared with each other for describing a complete fuel cell system. Future research should focus on the performance and integration of fuel cell stacks and associated sub-systems including fuel storage, reforming and processing, air delivery systems, heat exchangers and thermal integration, humidification and water management, DC power processing, sensors and controls.
A comprehensive fuel cell model should include following requirements:
1. Equal current distribution must be ensured via uniform velocity distribution of the reactants at the gas channel/electrode interfaces. Otherwise, parasitic current may be observed between the channels due to potential differences
2. Cell operation is maintained at stable by controlling the flow of water within the cell. The polymer membrane must remain hydrated to maintain its protonic conductivity, and water produced by the reaction must be removed from the cathode. It is ensured by flowing air through the cathode channel which removes water both in liquid and vapor form. The transport of water from cathode to anode is governed through the membrane by onic drag and mass diffusion.
3. Flooding may occur on the porous electrode if liquid water can not be removed properly. This phenomenon causes the transport of reactants through the electrode encumber and overall system performance drop
4. Cell temperature must be kept in uniform temperature. Therefore, heat produced by electrical resistance and electrochemical reaction must be removed from the cell.
Phenomena in the fuel cell is summarized as follows; Mass, momentum and energy transport through gas channels, electric current transport through porous media (electrodes and membrane) and electrochemical reactions at the electrode-membrane-catalyst interface.
In the last years, commercial CFD codes have found an application area on fuel cell modelling at large scales. [2-9]. Parallel processing is also a necessity for the calculations at a large-size and complex computational domain. In this connection, some of the recent studies may be useful to see the problems faced with in the field of fuel cell technology; These are presented in the references [12-15]. In addition to the numerical performance, the physical validity of the models should be tested through comparisons with experimental data of polarization curves. The selected studies[16-22] are some of the examples on software package usage in PEMFC technology. It requires a tremendeous effort to predict polarization curves by numerical techniques.The results were presented as polarization curves in some of the recent studies on PEMFC’s [10,11].
Further reading
- Biyikoglu, A. (2005). Review of proton exchange membrane fuel cell models. International Journal of Hydrogen Energy 30:1181-1212. (Link »)
- Berning, T., Lu, D. M., Djilali, N. (2002). Three-dimensional computational analysis of transport phenomena in a PEMFC. J. Power Sources 106(1-2):284-294
- Mazumder, S., Cole, J. V. (2003). Rigorous 3-D mathematical modeling of PEM fuel cells II. Model predictions with liquid water transport. J. Electrochem. Soc. 150(11):A1510-1517
- Ju, H., Meng, H., Wang, C. Y. (2005). A single-phase, non-isothermal model for PEM fuel cells. Int. J. Heat Mass Transfer 48(7):1303-1315
- Wang, Y., Wang, C. Y. (2004). Electron Transport in PEFCs. Int. J. Heat Mass Transfer 151(3):A358-A367
- Wang, Y., Wang, C. Y. (2006). A Nonisothermal, Two-Phase Model for Polymer Electrolyte Fuel Cells. Electrochim. 153(6):A1193-A1200
- Pasaogulları, U., Wang, C. Y. (2004). Liquid water transport in gas diffuser layer of polymer electrolyte fuel cells. J. Electrochem. Soc. 151(3):A399-A406
- Ju, H., Wang, C. Y. (2004). Experimental validation of a PEM fuel cell model by current distribution data. J. Electrochem. Soc. 151(11):A1954-A1960
- Meng, H., Wang, C. Y. (2004). Large-scale simulation of polymer electrolyte fuel cells by parallel computing. Chem. Eng. Sci. 59(16):3331-3343
- Um, S., Wang, C. Y. and Chen, K. S. (2000). Computational Fluid Dynamics Modeling of Proton Exchange Membrane Fuel Cells. Journal of The Electrochemical Society 147(12):4485-4493
- Wang,L., Husar, A., Zhou, T., Liu, H. (2003). A parametric study of PEM fuel cell performances. International Journal of Hydrogen Energy 28:1263-1272
- Sivertsen, B.R., Djilali, N. (2005). CFD-based modelling of proton exchange membrane fuel cells. Journal of Power Sources 141:65-78
- Li, S., Cao, J., Wangard, W.and Becker, U. (2005). Modeling PEMFC with FLUENT: Numerical Performance and validations with experimental data. Proceedings of FUEL CELL 3rd International Conference on Fuel Cell Science, Engineering and Technology, Ypsilanti, Michigan.
- Mench, M.M., Wang, C.Y. and Ishikawa, M. (2003), In situ current distribution measurements in polymer electrolyte fuel cells. Journal of the Electrochemical Society 150(8):A1052-A1059
- Hu,G., Fan, J., Chen, S., Liu, Y., Cen, K. (2004). Three-dimensional numerical analysis of proton exchange membrane fuel cells ( PEMFCs) with conventional and interdigitated flow fields. Journal of Power Sources 136: 1-9
- Carcadea, E., Ene, H., Ingham, D.B., Lazar, R., Ma, L., Pourkashanian, M., Stefanescu, I. (2005). Numerical Simulation of Mass and Charge Transfer for a PEM Fuel Cel. Proceedings International Hydrogen Energy Congress and Exhibition IHEC.
- Hakenjos, A., Tüber, K., Schumacher, J.O. and Hebling, C. (2004). Characterising PEM Fuel Cell Performance Using a Current Distribution Measurement in Comparison with a CFD Model. Fuel Cells 4:185-189
- Hontanon, E. et.al. (2000). Optimisation of flow-field in polymer electrolyte membrane fuel cellsusing computational fluid dynamics techniques. Journal of Power Sources 86:363–368.
- Kumar, A., Reddy, R.G. (2003). Modeling of Polymer Electrolyte membrane fuel cell with metal foam in the flow- field of the bipolar/end plates. Journal of Power Sources 114:54-62.
- Jiao, K., Zhou, B., Quan, P. (2006). Liquid water transport in parallel serpentine channels with manifolds on cathode side of a PEM fuel cell stack. Journal of Power Sources 154:124–137.
- Quan, P., Lai, M-C (2007). Numerical study of water management in the air flow channel of a PEM fuel cell cathode. Journal of Power Sources 164:222–237.
- Jiao, K., Zhou, B. (2007). Innovative gas diffusion layers and their water removal characteristics in PEM fuel cell cathode. Journal of Power Sources 169:296–314.
- Alpat, C.Ö. (2007). Numerical Solution of a Proton Exchange Membrane Fuel Cell with Straight Channels. M.Sc. Thesis, Institute of Science and Technology, Gazi University, May, Ankara 201 pages. (Link »)
- Öztoprak, H. (2007). The Effect of Baffle Blocks in Flow Channels on a Proton Exchange Membrane Fuel Cell Characteristics. M.Sc. Thesis, Institute of Science and Technology, Gazi University, July, Ankara, 241 pages. (Link »)
- Biyikoglu, A. (2003). Historical Development, Working Principles and State- of-the-Art of Fuel Cells," G.U. Journal of Science, 16(3): 523-542. (In Turkish) (Link »)


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