Leonardo Fortuna Carneiro, Esly Ferreira da Costa Junior, Samuel Tadeu de Paula Andrade, Tulio Matencio, Rudolf Huebner, Rosana Zacarias Domingues
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Both submodels have good accuracies on the polarization curve while the water concentration does not reach the region of the peak in diffusivity (<span>\\(\\lambda \\cong 4\\)</span>), indicating that the underestimation of the back-diffusion caused by the mean can hinder the accuracy. As for computational time, improvements of 49.85 and 23.69% are, respectively, obtained for Springer’s and the piecewise-linear electro-osmotic drag models for a larger interval between the solved current densities. However, the analytical expressions cause a performance loss of 6.80% when a smaller interval is used for the piecewise description. Therefore, the assumption of a mean diffusivity can be beneficial for models if the cell operates under well-humidified conditions and with fewer points in the domain, but it loses some of its benefits with smaller intervals in current density.</p>","PeriodicalId":8109,"journal":{"name":"Arabian Journal for Science and Engineering","volume":"187 1","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparison Between Analytical and Numerical Solutions for Water Transport in the Membrane on a PEMFC Model\",\"authors\":\"Leonardo Fortuna Carneiro, Esly Ferreira da Costa Junior, Samuel Tadeu de Paula Andrade, Tulio Matencio, Rudolf Huebner, Rosana Zacarias Domingues\",\"doi\":\"10.1007/s13369-024-09499-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Based on the necessity of better understanding the trade-off between the accuracy and computational efficiency of fuel cell models, this work aims to evaluate the impact of a simplifying assumption that permits the analytical description of water transport in the electrolyte. This simplification is the usage of a mean value for the water diffusivity, which is a function of the membrane’s water content. For this test, analytical expressions for the transport are developed for two different electro-osmotic drag models, Springer’s linear description and a piecewise-linear proposal. Those expressions are implemented on a PEMFC model along with the non-simplified description, which is solved numerically. Both submodels have good accuracies on the polarization curve while the water concentration does not reach the region of the peak in diffusivity (<span>\\\\(\\\\lambda \\\\cong 4\\\\)</span>), indicating that the underestimation of the back-diffusion caused by the mean can hinder the accuracy. As for computational time, improvements of 49.85 and 23.69% are, respectively, obtained for Springer’s and the piecewise-linear electro-osmotic drag models for a larger interval between the solved current densities. However, the analytical expressions cause a performance loss of 6.80% when a smaller interval is used for the piecewise description. Therefore, the assumption of a mean diffusivity can be beneficial for models if the cell operates under well-humidified conditions and with fewer points in the domain, but it loses some of its benefits with smaller intervals in current density.</p>\",\"PeriodicalId\":8109,\"journal\":{\"name\":\"Arabian Journal for Science and Engineering\",\"volume\":\"187 1\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Arabian Journal for Science and Engineering\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://doi.org/10.1007/s13369-024-09499-0\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Multidisciplinary\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arabian Journal for Science and Engineering","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1007/s13369-024-09499-0","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Multidisciplinary","Score":null,"Total":0}
Comparison Between Analytical and Numerical Solutions for Water Transport in the Membrane on a PEMFC Model
Based on the necessity of better understanding the trade-off between the accuracy and computational efficiency of fuel cell models, this work aims to evaluate the impact of a simplifying assumption that permits the analytical description of water transport in the electrolyte. This simplification is the usage of a mean value for the water diffusivity, which is a function of the membrane’s water content. For this test, analytical expressions for the transport are developed for two different electro-osmotic drag models, Springer’s linear description and a piecewise-linear proposal. Those expressions are implemented on a PEMFC model along with the non-simplified description, which is solved numerically. Both submodels have good accuracies on the polarization curve while the water concentration does not reach the region of the peak in diffusivity (\(\lambda \cong 4\)), indicating that the underestimation of the back-diffusion caused by the mean can hinder the accuracy. As for computational time, improvements of 49.85 and 23.69% are, respectively, obtained for Springer’s and the piecewise-linear electro-osmotic drag models for a larger interval between the solved current densities. However, the analytical expressions cause a performance loss of 6.80% when a smaller interval is used for the piecewise description. Therefore, the assumption of a mean diffusivity can be beneficial for models if the cell operates under well-humidified conditions and with fewer points in the domain, but it loses some of its benefits with smaller intervals in current density.
期刊介绍:
King Fahd University of Petroleum & Minerals (KFUPM) partnered with Springer to publish the Arabian Journal for Science and Engineering (AJSE).
AJSE, which has been published by KFUPM since 1975, is a recognized national, regional and international journal that provides a great opportunity for the dissemination of research advances from the Kingdom of Saudi Arabia, MENA and the world.