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{"title":"利用分数微积分建立百香果种子干燥和榨油过程的数学模型","authors":"Ana Caroline Raimundini Aranha, Rafael Oliveira Defendi, Maria Carolina Sérgi Gomes, Caroline Casagrande Sipoli, Danielli Andrea Nardino, Vitor Viganô Oliveira, Marcelo de Jesus Corte Rosalém, Rúbia Michele Suzuki","doi":"10.1002/jctb.7682","DOIUrl":null,"url":null,"abstract":"<div>\n \n \n <section>\n \n <h3> BACKGROUND</h3>\n \n <p>This article aims to fit kinetic models of the passion fruit seed drying process, in addition to mathematical modeling using traditional models and fractional calculus of the extraction of lipids from the seeds.</p>\n </section>\n \n <section>\n \n <h3> RESULTS</h3>\n \n <p>Regarding the drying process, it was found that the model that best suited the two drying temperatures employed was the fractional order one.</p>\n </section>\n \n <section>\n \n <h3> CONCLUSION</h3>\n \n <p>Analysis showed that for both drying conditions the value of parameter <i>α</i> was greater than 1, indicating that the profile that occurs for the seeds is superdiffusion. Regarding the mathematical fits of oil extraction, it was found that the two models that presented the best fits for the lipid extraction kinetics were hyperbolic and fractional order. Regarding the fractional order model, as the value of parameter <i>α</i> was lower than 1, it can be seen that the process again does not follow Fick's law, and in this case a subdiffusion process occurs. © 2024 Society of Chemical Industry (SCI).</p>\n </section>\n </div>","PeriodicalId":15335,"journal":{"name":"Journal of chemical technology and biotechnology","volume":"99 8","pages":"1800-1809"},"PeriodicalIF":2.8000,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical modeling of the drying and oil extraction processes of passion fruit seeds using fractional calculus\",\"authors\":\"Ana Caroline Raimundini Aranha, Rafael Oliveira Defendi, Maria Carolina Sérgi Gomes, Caroline Casagrande Sipoli, Danielli Andrea Nardino, Vitor Viganô Oliveira, Marcelo de Jesus Corte Rosalém, Rúbia Michele Suzuki\",\"doi\":\"10.1002/jctb.7682\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n \\n <section>\\n \\n <h3> BACKGROUND</h3>\\n \\n <p>This article aims to fit kinetic models of the passion fruit seed drying process, in addition to mathematical modeling using traditional models and fractional calculus of the extraction of lipids from the seeds.</p>\\n </section>\\n \\n <section>\\n \\n <h3> RESULTS</h3>\\n \\n <p>Regarding the drying process, it was found that the model that best suited the two drying temperatures employed was the fractional order one.</p>\\n </section>\\n \\n <section>\\n \\n <h3> CONCLUSION</h3>\\n \\n <p>Analysis showed that for both drying conditions the value of parameter <i>α</i> was greater than 1, indicating that the profile that occurs for the seeds is superdiffusion. Regarding the mathematical fits of oil extraction, it was found that the two models that presented the best fits for the lipid extraction kinetics were hyperbolic and fractional order. Regarding the fractional order model, as the value of parameter <i>α</i> was lower than 1, it can be seen that the process again does not follow Fick's law, and in this case a subdiffusion process occurs. © 2024 Society of Chemical Industry (SCI).</p>\\n </section>\\n </div>\",\"PeriodicalId\":15335,\"journal\":{\"name\":\"Journal of chemical technology and biotechnology\",\"volume\":\"99 8\",\"pages\":\"1800-1809\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2024-05-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of chemical technology and biotechnology\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/jctb.7682\",\"RegionNum\":4,\"RegionCategory\":\"生物学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"BIOTECHNOLOGY & APPLIED MICROBIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of chemical technology and biotechnology","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/jctb.7682","RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"BIOTECHNOLOGY & APPLIED MICROBIOLOGY","Score":null,"Total":0}
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