An easy-to-approach and comprehensive model for planar type SOFCs

An easy-to-approach and comprehensive mathematical model for planar type solid oxide fuel cells is presented in the current work. It provides a tool for researchers to conduct parametric studies with less-intensive computation in order to grasp the fundamentals of coupled mass transfer, electrochemical reaction, and current conduction in a fuel cell. In the model, the analysis for the mass transfer polarization at a known average fuel cell operating temperature is based on an average mass transfer model analogous to an average heat transfer process in a duct flow. The effect of the species' partial pressure at electrode/electrolyte interfaces is therefore included in the exchange current density for activation polarizations. An electrical circuit for the current and ion conduction is used to analyze the ohmic losses from anode current collector to cathode current collector. The three types of over-potentials caused by different polarizations in a planar type solid oxide fuel cell can be identified and compared. The effects of species concentrations, properties of fuel cell components to the voltage–current performance of a fuel cell at different operating conditions are studied. Optimization of the dimensions of flow channels and current-collecting ribs is also presented. The model is of significance to the design and optimization of solid oxide fuel cells for industrial application.     

Optimization of blocked flow field performance of proton exchange membrane fuel cell with auxiliary channels

The flow field optimization design is one of the important methods to improve the performance of proton exchange membrane fuel cell (PEMFC). In this study, a new structure with staggered blocks on the parallel flow channels of PEMFC and auxiliary flow channels under the ribs is proposed. Through numerical calculation method, the effect of blocks auxiliary flow field (BAFF) on pressure drop, reactant distribution and liquid water removal in the fuel cells are investigated. The results show that when the operating voltage is 0.5 V, the current density of BAFF is 21.74% higher than that of the straight parallel flow field (SPFF), and the power density reaches 0.65 W cm^?2. BAFF improves performance by equalizing the pressure drop across sub-channels, promoting the uniform distribution of reactant, and enhancing transport across the ribs. In addition, through parameter analysis, it is found that BAFF can discharge liquid water in time at the conditions of high humidification, high current density and low temperature, which ensures the output performance of the fuel cell and improves the durability of the fuel cell. This paper provides new ideas for the improvement of PEMFC flow field design, which is beneficial to the development of PEMFC with high current density.     

Optimization of PEM fuel cell flow channel dimensions—Mathematic modeling analysis and experimental verification

The objective of this work is to optimize the dimensions of gas flow channels and walls/ribs in a proton-exchange membrane (PEM) fuel cell. To achieve this goal conveniently, a relatively easy-to-approach mathematical model for PEM fuel cells has been developed. The model was used for the design optimization of fuel cells, which were fabricated and experimentally tested to compare the performance and examine these optimization effects. The model analyzes the average mass transfer and species' concentrations in flow channels, which allows the determination of an average concentration polarization, the humidity in anode and cathode gas channels, the proton conductivity of membranes, as well as the activation polarization. An electrical circuit for the current and ion conduction is applied to analyze the ohmic losses from anode current collector to cathode current collector. This model needs relatively less amount of computational time to find the V–I curve of the fuel cell, and thus it can be applied to compute a large amount of cases with different flow channel dimensions and operating parameters for optimization. Experimental tests of several PEM fuel cells agreed with the modeling results satisfactorily. Both simulation and experimental results showed that relatively small widths of flow channels and ribs, together with a small ratio of the rib's width versus channel's width, are preferred for obtaining high power densities. To further demonstrate the advantage of optimized fuel cell designs, two four-cell stacks, one with optimized channel/rib designs and the other without, were compared experimentally and a much better performance of the one with the optimized design was confirmed.     

Numerical optimization of bipolar plates and gas diffusion electrodes for PBI-based PEM fuel cells

This paper is devoted to the numerical optimization of the geometry of some key cell components (flow-field channels, current transfer ribs of bipolar plates, gas diffusion electrodes) of high-temperature PEM fuel cells using H₃PO₄-doped Poly Benzimidazole (PBI) as solid polymer electrolyte. Some design specifications as well as optimum values of key operating parameters are proposed to increase the efficiency of such fuel cells. For this purpose physicochemical model and corresponding novel effective technique for solving of 2D transport equation have been developed. Results of the numerical analysis of dependence of fuel cell performances upon the geometry of cathodic and anodic flow-field channels, operating temperature and gas diffusion electrode parameters are provided. In particular, it was demonstrated that optimum relative width of current-transfer rib (i.e. the ratio between width of rib divided to sum of widths of rib and channel) is determined mainly by competition between diffusion and current conductivity in a gas diffusion electrode and is approximately equal to 0.30–0.35 for the parameters of cell components used in this study.     

Numerical simulation for rib and channel position effect on PEMFC performances

Simulation is an important method for engineers to probe the detailed transportation and reaction information inside fuel cells and guide their designs without large amount of experiments. Although many papers discussing fuel cell flow fields design could be found in documents, relative positions of the ribs and channels in the anode and cathode flow field plates haven't been paid attention to surprisingly. In this paper, simulation results were given to explain the influences of relative positions of the ribs and channels in the anode and cathode flow field plates on the proton exchange membrane fuel cell (PEMFC) performances. It is interesting that the influence differs with several factors and the information will be helpful for fuel cell design.     

A CFD study of hygro–thermal stresses distribution in PEM fuel cell during regular cell operation

A three-dimensional, multi-phase, non-isothermal computational fluid dynamics model of a proton exchange membrane fuel cell has been developed and used to investigate the displacement, deformation, and stresses inside the whole cell, which developed during the cell operation due to the changes of temperature and relative humidity. The behaviour of the fuel cell during operation has been studied and investigated under real cell operating conditions. A unique feature of the present model is to incorporate the effect of hygro and thermal stresses into actual three-dimensional fuel cell model for a complete cell with both the membrane-electrode-assembly and the gas distribution flow channels. The results show that the non-uniform distribution of stresses, caused by the temperature gradient in the cell, induces localized bending stresses, which can contribute to delaminating between the membrane and the gas diffusion layers. The non-uniform distribution of stresses can also contribute to delaminating between the gas diffusion layers and the channels, especially in the cathode side. These stresses may explain the occurrence of cracks and pinholes in the fuel cells components under steady-state loading during regular cell operation, especially in the high loading conditions.     

Simultaneous direct visualisation of liquid water in the cathode and anode serpentine flow channels of proton exchange membrane (PEM) fuel cells

Water flooding is detrimental to the performance of the proton exchange membrane fuel cell (PEMFC) and therefore it has to be addressed. To better understand how liquid water affects the fuel cell performance, direct visualisation of liquid water in the flow channels of a transparent PEMFC is performed under different operating conditions. Two high-resolution digital cameras were simultaneously used for recording and capturing the images at the anode and cathode flow channels. A new parameter extracted from the captured images, namely the wetted bend ratio, has been introduced as an indicator of the amount of liquid water present at the flow channel. This parameter, along with another previously used parameter (wetted area ratio), has been used to explain the variation in the fuel cell performance as the operating conditions of flow rates, operating pressure and relative humidity change. The results have shown that, except for hydrogen flow rate, the wetted bend ratio strongly linked to the operating condition of the fuel cell; namely: the wetted bend ratio was found to increase with decreasing air flow rate, increasing operating pressure and increasing relative humidity. Also, the status of liquid water at the anode was found to be similar to that at the cathode for most of the cases and therefore the water dynamics at the anode side can also be used to explain the relationships between the fuel cell performance and the investigated operating conditions.     

燃气轮机转子裂纹扩展及刚度特性研究

燃气轮机转子工作环境恶劣,转子结构易出现裂纹故障,为了解决燃气轮机转子裂纹难以被识别的问题,以某型燃气轮机高压转子为研究对象,通过三维建模以及ABAQUS仿真模拟其工作状态。首先,对易产生裂纹的位置进行了仿真计算;然后,在转子三维模型中对易产生裂纹的位置预置大小不同的裂纹模型,得到转子裂纹拓展情况;最后,在裂纹拓展后的转子模型上施加一定载荷,测量转子在不同裂纹状态下的拉压刚度、扭转刚度以及弯曲刚度。结果表明：某型燃气轮机高压转子的高压涡轮封严轮盘区域易出现裂纹故障,且转子刚度伴随裂纹增大呈下降趋势。     

Liquid transport in gas diffusion layer of proton exchange membrane fuel cells: Effects of micro-porous layer cracks

Micro porous layer (MPL) is a carbon layer (～15 μm) that coated on the gas diffusion layer (GDL) to enhance the electrical conduction and membrane hydration of proton exchange membrane fuel cell (PEMFC). However, the liquid transport behavior from MPL to GDL and its impact on water management remain unclear. Thus, a three-dimensional volume of fluid (VOF) model is developed to investigate the effects of MPL crack properties on liquid water saturation, liquid pathway formation, and the two-phase mass transport mechanism in GDL. Firstly, a stochastic orientation method is used to reconstruct the fibrous structure of the GDL. After that, the liquid water saturation calculated from the numerical results agrees well with the experimental data. With considering the full morphology of the overlap between MPL and GDL, it's found that this overlap determines the preferred liquid emerging port of both MPL and GDL. Three crack design shapes in MPL are proposed on the base of the similarity crack formation processes of soil mud. In addition, the effects of crack shape, distance between cracks, and crack number on liquid water transport from MPL to GDL are investigated. It is found that the liquid water saturation of GDL increases with crack number and the distance between cracks, while presents little correlation to the crack shape. Hopefully, these results can help the development of PEMFC models without reconstructing full MPL morphology.     

Performance analysis of a tubular solid oxide fuel cell with an indirect internal reformer

A 2‐D steady‐state mathematical model of a tubular solid oxide fuel cell with indirect internal reforming (IIR‐SOFC) has been developed to examine the chemical and electrochemical processes and the effect of different operating parameters on the cell performance. The conservation equations for energy, mass, momentum as well as the electrochemical equations are solved simultaneously employing numerical techniques. A co‐flow configuration is considered for gas streams in the air and fuel channels. The heat radiation between the preheater and reformer surface is incorporated into the model and local heat transfer coefficients are determined throughout the channels. The model predictions have been compared with the data available in the literature. The model was used to study the effect of various operating conditions on the cell performance. Numerical results indicate that as the cell operating pressure increases, the reforming reaction extends to a larger portion of the cell and the maximum temperature move away from the cell inlet. As a result, a more uniform temperature prevails in the solid structure which reduces thermal stresses. Also, at higher excess air, the rate of heat transfer to the air stream is augmented and the average cell temperature is decreased. Copyright © 2010 John Wiley & Sons, Ltd.     

Electromechanical diagnostic method for monitoring cracks in polymer electrolyte fuel cell electrodes

A significantly challenging issue in polymer electrolyte fuel cells (PEFCs) is the insufficient durability of the membrane electrode assembly (MEA) electrodes caused by crack formation and growth. A decrease in interconnections of the electrical pathways in the electrodes leads to poor performance and durability of the PEFCs. Therefore, fundamental understanding of the nature of the crack formation and growth in electrodes is critical for improving fuel cell durability. In this study, an electromechanical diagnostic method is proposed to monitor the cracks in the PEFC electrodes. The electrical resistance of electrode is measured through the in situ four-wire electrical resistance measurements under tension. The crack areal density is proposed and measured as a quantitative parameter to define the presence of cracks in the electrodes using an optical microscope. It is found that the change of electrical resistances under tension increases with the electrode thickness (i.e., Pt loading), which results from the crack growth in the electrodes. This electromechanical diagnostic method is useful for understanding the crack mechanics consisting of initiation, propagation, and widening stages, and expected to facilitate the design of robust electrodes for highly durable fuel cells.     

Modeling of high temperature proton exchange membrane fuel cells with novel sulfonated polybenzimidazole membranes

In this study, a three-dimensional, steady-state, non-isothermal numerical model of high temperature proton exchange membrane fuel cells (HT-PEMFCs) operating with novel sulfonated polybenzimidazole (SPBI) membranes is developed. The proton conductivity of the phosphoric acid doped SPBI membranes with different degrees of sulfonation is correlated based on experimental data. The predicted conductivity of SPBI membranes and cell performance agree reasonably with published experimental data. It is shown that a better cell performance is obtained for the SPBI membrane with a higher level of phosphoric acid doping. Higher operating temperature or pressure is also beneficial for the cell performance. Electrochemical reaction rates under the ribs of the bipolar plates are larger than the values under the flow channels, indicating the importance and dominance of the charge transport over the mass transport.     

Comparative performance analysis of a direct ammonia-fuelled anode supported flat tubular solid oxide fuel cell: A 3D numerical study

Solid oxide fuel cells that are designed in different geometrical structures (planar, tubular, flat-tubular, etc.) are dirt-free, quiet, and efficient cells that run using different fuels including contagions fuels. In this work, the performance of a 3D model of direct ammonia feed anode supported flat-tubular solid oxide fuel cell having six fuel supply channels was developed, investigated, and elucidated numerically in comparison with hydrogen fuels at different operating conditions using COMOSOL Multiphysics. The finding of this study is revealed that the performance of the developed model that is running with direct ammonia is better than hydrogen feed one using the same geometrical dimensions and operating parameters. It is also confirmed that direct ammonia feed anode supported flat-tubular solid oxide fuel cell has outstanding performance over the corresponding anode supported tubular solid oxide fuel cell using the same active cell surface area, gas channel length, and operating conditions. Parametric sweep analyses have been also performed on selected operating parameters and the outcomes revealed that the working temperature and the amount of reactant gases have a powerful impact on cell performance. Thus, ammonia is a green auspicious, and profitable candidate to use as a carbon-neutral fuel for anode supported flat-tubular solid oxide fuel cells in the near future.     

Effect of anisotropic thermal conductivity of the GDL and current collector rib width on two-phase transport in a PEM fuel cell

A two-dimensional two-phase model based on the classical two-fluid model is used to analyze electrochemical and thermal transport in a PEMFC. The model is extended to account for the dependence of interfacial area density on liquid volume fraction. At a given fixed voltage, the fuel cell generates maximum current density for low through-plane and high in-plane thermal conductivities at high humidity operating conditions. It is also predicted that for low humidity operating conditions, the fuel cell generates maximum current density if the GDL is tailored to have high through-plane thermal conductivity near the inlet and progressively decreasing through-plane thermal conductivity at distances away from the inlet. At fully humidified cathode inlet conditions, narrower current collector ribs generate higher current densities at all voltages by reducing the resistance to diffusion of reactants and products through the GDL. In order to maximize the current density at low humidities, ribs must be wider near the inlet and narrower away from the inlet. The proposed methodology for tailoring GDL through-plane thermal conductivities and rib widths reduces the risk of membrane dehydration near inlet and also reduces the possibility of excessive liquid accumulation in the region away form the inlet.     

Elasto-plastic fracture properties of an all-aluminium gas cylinder with different cracks

All-aluminium cylinders are used for on-board storage of compressed natural gas in vehicles. Besides being subjected to the maximum fill pressure, these cylinders are subjected to fluctuating pressures, due to refuelling operations. In order to establish a relevant test method to ensure leak before break failure performance, elasto-plastic finite element stress analysis of the design containing various defects was carried out to obtain a theoretical basis for the establishment of the test method. Axial semi-elliptical cracks in the central portion of the cylinder and circumferential cracks in the bottom of the cylinder are modelled using 20-node hexahedron elements. Not only the cylindrical body but also the neck and transition areas of the cylinder are considered in the modelling. Slender cracks with lengths approximately five times the wall thickness of the cylinder, which often appear in applied all-aluminium gas cylinders, are considered. Crack depths varied from 22.5% to 100% of the wall thickness. Through discussions about the calculated J-integral and crack mouth opening displacement (CMOD) of the axial and circumferential cracks, the effects of the different cracks on all-aluminium cylinders in the elasto-plastic deformation state are made clear. The analyses show that under the elasto-plastic deformation state, axial cracks in the centre of the cylinder are more dangerous for the cylinder than circumferential cracks in the bottom of the cylinder, if these are of the same size and under the same conditions. The axial external crack is found to be most severe among these different crack types. Finally, the CMOD of cylinders with an axial external crack have been measured by the experimental method and a good agreement between the calculated CMOD and the tested CMOD was reached.     

Quantification of liquid water accumulation and distribution in a polymer electrolyte fuel cell using neutron imaging

Operating parameters, material properties and flow field geometry have a deterministic role on the water storage and distribution within the flow channels and porous media in a fuel cell. However, their effects are not yet precisely understood. In this study, extensive neutron imaging experiments were conducted to visualize and quantify the amount of liquid water in the fuel cell channels and diffusion media as a function of inlet gas flow rate, cell pressure and inlet relative humidity. A seven-channel parallel flow configuration PEFC was used to isolate these parameters from flow field switchback interaction effects.

The neutron imaging experiments were performed at different inlet gas flow rates, operating cell pressures and inlet relative humidities. At each operating condition, the distribution of liquid water in the diffusion media under the lands, and in or under the channels was obtained. Furthermore, at three different cell pressures (0.2 MPa, 0.15 MPa and 0.1 MPa), liquid water distribution and quantification was obtained. The liquid water mass in the cell decreased with increasing pressure for over-humidified anode inlet conditions. Comparison of the fuel cell performance with the total liquid water mass in the cell indicates a non-monotonic relationship between liquid water content and performance. Furthermore, cell performance was highly sensitive to incremental changes in the membrane liquid water content.     

Visualisation of water accumulation in the flow channels of PEMFC under various operating conditions

The accumulation of water in the cathode/anode serpentine flow channels of a transparent PEMFC has been investigated by direct visualisation where water droplets and slugs formed in these channels were quantified over a range of operating conditions. Four operating parameters concerning air stoichiometry, hydrogen stoichiometry, cell temperature, and electric load were examined to evaluate their effects on the formation and extraction of water from the flow channels. The results showed that hydrogen and air stoichiometry contribute almost equally to the water formation process in the cathode channels. However, their effects on the water extraction from the channels were quite different. Air stoichiometry proved capable of extracting all the water from the cathode channels, without causing membrane dehydration, contrary to hydrogen. Increasing the operating temperature of the cell was found to be very effective for the water extraction process; a temperature of 60 °C was sufficient to evaporate all the water in the channels as well as enhancing the fuel cell current. The electric load was strongly associated to the water formation in the channels but had no influence on water extraction. Finally, no water was present in the anode flow channels under all examined operating conditions.     

Investigation of bio-inspired flow channel designs for bipolar plates in proton exchange membrane fuel cells

Proton exchange membrane (PEM) fuel cell performance is directly related to the flow channel design on bipolar plates. Power gains can be found by varying the type, size, or arrangement of channels. The objective of this paper is to present two new flow channel patterns: a leaf design and a lung design. These bio-inspired designs combine the advantages of the existing serpentine and interdigitated patterns with inspiration from patterns found in nature. Both numerical simulation and experimental testing have been conducted to investigate the effects of two new flow channel patterns on fuel cell performance. From the numerical simulation, it was found that there is a lower pressure drop from the inlet to outlet in the leaf or lung design than the existing serpentine or interdigitated flow patterns. The flow diffusion to the gas diffusion layer was found be to more uniform for the new flow channel patterns. A 25 cm² fuel cell was assembled and tested for four different flow channels: leaf, lung, serpentine and interdigitated. The polarization curve has been obtained under different operating conditions. It was found that the fuel cell with either leaf or lung design performs better than the convectional flow channel design under the same operating conditions. Both the leaf and lung design show improvements over previous designs by up to 30% in peak power density.     

质子交换膜燃料电池双极板的设计与模拟分析

质子交换膜燃料电池是直接将化学能转换为电能的装置,双极板上的流道结构对燃料电池的工作性能具有较大的影响。根据应用要求设计了具有平行流道、蛇形流道及希尔伯特分形流道的双极板结构,模拟计算了氢气在不同类型的流道和气体扩散层中的分布状态,分析了燃料电池的输出电流密度和功率密度随电极间电压的变化特点,比较了不同的流道结构对燃料电池输出电流密度的影响,以及不同的工作温度及气体压强的情况下,燃料电池输出电流密度随温度及压强的变化规律。     

Direct observation of the two-phase flow in the air channel of a proton exchange membrane fuel cell and of the effects of a clogging/unclogging sequence on the current density distribution

A small single-channel fuel cell prototype was built with the objective of monitoring the appearance and transport of water droplets in the gas channels in usual operating conditions. It allows the simultaneous observation of droplets and of their local effects on current density. The first results show that the air flow rate seems to control the transition between two different water removal mechanisms: a plug flow when the air stoichiometry is low, with significant disturbances in the local current density, pressure drop and fuel cell performance, and a more conventional flow with steadier removal of smaller droplets when the stoichiometry is higher.