In this study, a membrane electrode assembly of a proton exchange membrane fuel cell is modeled. Using the analytical model, a computational analysis has been conducted along with an extensive parametric study. Variation of ohmic losses, water content, and voltage drops from anode to cathode side of the membrane electrode assembly with many design/operation parameters such as thickness, temperature, pressure, and local/total humidity and conductivity, diffusivity, and resistivity have been evaluated at various current densities. Also, effect of molar concentration of hydrogen on hydrogen diffusive flux due to pressure change between the anode and cathode at different membrane thicknesses has been presented. Furthermore, variation of water uptake and concentration with the ratio of water and hydrogen fluxes, the current density, and membrane dry density have been studied along with their interrelation. It is observed that as the membrane thickness increases, its resistivity increases as well, causing higher ohmic losses. On the other hand, the water content increases with the thickness until a maximum point and then starts to decrease. Therefore, the membrane thickness should be optimized carefully to have desirable humidity levels with minimum crossover and losses.

中文翻译：

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质子交换膜燃料电池中膜电极组件的分析和建模

在这项研究中，对质子交换膜燃料电池的膜电极组件进行了建模。使用分析模型，进行了计算分析以及广泛的参数研究。已经评估了膜电极组件的欧姆损失、水含量和从阳极到阴极侧的电压降的变化以及许多设计/操作参数，例如厚度、温度、压力以及局部/总湿度和电导率、扩散率和电阻率在各种电流密度下。此外，由于在不同膜厚度下阳极和阴极之间的压力变化，氢的摩尔浓度对氢扩散通量的影响已被提出。此外，吸水量和浓度随水和氢通量之比、电流密度、和膜干密度以及它们的相互关系已经被研究。据观察，随着膜厚度的增加，其电阻率也会增加，从而导致更高的欧姆损耗。另一方面，含水量随着厚度的增加而增加，直到达到最大值，然后开始减少。因此，应仔细优化膜厚度，以达到理想的湿度水平，同时将交叉和损失降至最低。