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The degradation or failure caused by thermal stress is a serious problem for solid oxide fuel cell (SOFC), especially in preheating process. The common working temperature for SOFC is more than 700 ℃, so it should be preheated to startup temperature (e.g. 600 ℃). The thermal stress induced by temperature gradient in SOFC is a crucial factor that results in the degradation or failure of SOFC, therefore there are many studies on the optimization of preheating process. Numerical model is an important tool in the study of SOFC preheating process, however there exists a serious discrepancy between the model results and experimental results. The numerical model always gives a very high temperature gradient in the SOFC which can result in SOFC crack according to the material permissible stress, and this result disagrees with the practical experimental result. In this paper, a hot gas preheating model of SOFC is developed and the model is verified by comparing with model results from the literature. Then, the location of maximum temperature gradient and distribution of temperature gradient in the SOFC are studied by this model, and the extremely high temperature gradient at entrance is analyzed. Some conclusions are given below. 1) The maximum temperature gradient is always located at the edge of SOFC nearby the gas entrance. The variation of temperature rise rate and velocity of hot gas show negligible effect on the position of maximum temperature gradient in the gas flow direction. For single channel preheating method, the maximum temperature gradient is at the gas entrance. For the dual channel preheating method, the maximum temperature gradient is always at the cathode gas entrance whatever gas feeding way is co-flow or counter-flow, because the thermal conductivity of cathode is lowest. 2) There is an extremely high temperature gradient at the gas entrance, and the temperature gradient sharply decreases along the gas flowing direction at the small entrance section. The extremely high temperature gradient may result from the uniform inlet temperature and velocity set in the model, and the entrance effect can greatly enhance the heat transfer between gas and SOFC component due to the large difference in velocity and temperature at the entrance section. 3) The entrance extension of gas channel can give rise to a fully developed velocity distribution and reduce the temperature gradient at SOFC entrance, however, there is always a high temperature gradient at the entrance section of SOFC due to the uniform inlet gas temperature. Therefore, the maximum temperature gradient given by numerical model as a criterion of SOFC safety can overestimate the thermal stress, and the distribution of temperature gradient in SOFC should be analyzed together to optimize the preheating process. -
Keywords:
- solid oxide fuel cell /
- temperature gradient /
- numerical model /
- entrance effect
[1] 衣宝廉 2003 燃料电池——原理·技术·应用 (北京: 化学工业出版社)
Yi B L 2003 Fuel Cells: Theory, Technology and Appliction (Beijing: Chemical Industry Press) (in Chinese)
[2] Singhal S C, Kendall K 2003 High-temperature Solid Oxide Fuel Cells: Fundamentals, Design and Applications (Amsterdam: ELSEVIER)
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图 1 SOFC数值模拟选取的可重复单元
Figure 1. Repeating unit in SOFC model.
图 2 (a) SOFC数值模型网格无关性和(b)时间步长的验证
Figure 2. (a) Verification of mesh independence and (b) time step size for SOFC numerical model.
图 4 加热气体不同升温速率(a)和不同入口速度(b)时SOFC内最大温度梯度位置示意图((a) 1 K/s升温600 s后阴极入口横截面处的温度分布, 图中温度单位为K)
Figure 4. The location of maximum temperature gradient in SOFC under different temperature rise rate (a) and inlet velocity (b) (Figure (a) is the temperature distribution of the cathode inlet section at 600 s with a 1 K/s increasing rate, temperature unit is K)
图 5 不同气体入口升温速率(a)和入口速度(b)时, SOFC内温度梯度沿流道方向变化曲线
Figure 5. The plotting of temperature gradient in the SOFC on Z direction under different gases temperature rise rate (a) and different inlet velocity (b).
图 6 不同预热方式时, SOFC内温度梯度沿流道方向变化曲线
Figure 6. The plotting of temperature gradient in the SOFC on z direction under different preheating method.
图 7 600 s时, SOFC阴极入口处流道对称面上的速度分布图
Figure 7. The distribution of velocity in symmetrical surface of SOFC cathode channel near inlet at 600 s.
图 9 600 s时, 入口段延长后阴极入口处温度分布与原模型温度分布的对比图
Figure 9. Comparison of temperature distribution near cathode inlet between the original model and extended entrance model at 600 s.
图 8 600 s时, 入口延长与原模型得到的SOFC内温度梯度沿流道方向分布对比图
Figure 8. Comparison of the distribution of temperature gradient along gas channel in SOFC between the original model and extended entrance model at 600 s.
表 1 SOFC结构几何参数
Table 1. The geometry parameter of SOFC in this study
参数 值 流道高/mm 1.0 流道宽/mm 1.0 脊宽/mm 0.5 阳极厚度/mm 0.4 电解质厚度/mm 0.01 阴极厚度/mm 0.07 流道长度/mm 100 
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[1] 衣宝廉 2003 燃料电池——原理·技术·应用 (北京: 化学工业出版社)
Yi B L 2003 Fuel Cells: Theory, Technology and Appliction (Beijing: Chemical Industry Press) (in Chinese)
[2] Singhal S C, Kendall K 2003 High-temperature Solid Oxide Fuel Cells: Fundamentals, Design and Applications (Amsterdam: ELSEVIER)
[3] Lymperopoulos N, Tsimis D, Aguilo-Rullan A, et al. 2019 ECS Trans. 91 9
Google Scholar
[4] Vora S D, Jesionowski G, Williams M C 2019 ECS Trans. 91 27
Google Scholar
[5] Yokokawa H, Suzuki M, Yoda M, et al. 2019 Fuel Cells 19 311
[6] Hayun H, Wolf R, Barad C, et al. 2020 J. Alloy. Compd. 821 153490
Google Scholar
[7] Xu M, Li T S, Yang M, et al. 2016 Int. J. Hydrogen Energy 41 14927
Google Scholar
[8] Xie J M, Hao W Q, Wang F H 2019 Int. J. Energy Res. 43 3020
Google Scholar
[9] 樊鹏飞, 张兄文, 李国君等 2012 西安交通大学学报 46 75
Fan P F, Zhang X, Li G et al. 2012 J. Xi'an Jiaotong Univ. 46 75
[10] Hanasaki M, Uryu C, Taniguchi S, et al. 2013 ECS Trans. 57 691
Google Scholar
[11] Bujalski W, Dikwal C M, Kendall K 2007 J. Power Sources 171 96
Google Scholar
[12] Apfel H, Rzepka M, Tu H, et al. 2006 J. Power Sources 154 370
Google Scholar
[13] Mirahmadi A, Valefi K 2011 J. Fuel Cell Sci. Technol. 8 061008
Google Scholar
[14] Selimovic A, Kemm M, Torisson T, et al. 2005 J. Power Sources 145 463
Google Scholar
[15] Damm D L, Fedorov A G 2006 J. Power Sources 159 956
Google Scholar
[16] Colpan C O, Hamdullahpur F, Dincer I 2010 J. Power Sources 195 3579
Google Scholar
[17] Chen M H, Jiang T L 2011 Int. J. Hydrogen Energy 36 6882
Google Scholar
[18] Yuan P, Liu S F 2016 Int. J. Hydrogen Energy 41 12377
Google Scholar
[19] Peksen M 2015 Int. J. Hydrogen Energy 40 12362
Google Scholar
[20] Peksen M 2018 Int. J. Hydrogen Energy 43 354
Google Scholar
[21] Peksen M, Al-Masri A, Blum L, et al. 2013 Int. J. Hydrogen Energy 38 4099
Google Scholar
[22] Zheng K, Kuang Y, Rao Z, et al. 2019 J. Renewable Sustainable Energy 11 014301
Google Scholar
[23] Atkinson A, Sun B 2007 Mater. Sci. Technol. 23 1135
Google Scholar
[24] Sun B, Rudkin R A, Atkinson A 2009 Fuel Cells 9 805
Google Scholar
[25] Zhang Y, Xia C 2010 J. Power Sources 195 6611
[26] Dikwal C M, Bujalski W, Kendall K 2009 J. Power Sources 193 241
[27] Aguiar P, Adjiman C S, Brandon N P 2005 J. Power Sources 147 136
Google Scholar
[28] Kakac S, Pramuanjaroenkij A, Zhou X Y 2007 Int. J. Hydrogen Energy 32 761
Google Scholar
[29] Beale S B, Andersson M, Boigues-Muñoz C, et al. 2021 Prog. Energy Combust. Sci. 85 100902
Google Scholar
[30] Chen M H, Jiang T L 2012 J. Power Sources 220 331
Google Scholar
[31] Gamrat G, Favre-Marinet M, Asendrych D 2005 Int. J. Heat Mass Transfer 48 2943
Google Scholar
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