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

IF 2.8 4区 生物学 Q3 BIOTECHNOLOGY & APPLIED MICROBIOLOGY Journal of chemical technology and biotechnology Pub Date : 2024-05-21 DOI:10.1002/jctb.7682
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
{"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,&nbsp;Rafael Oliveira Defendi,&nbsp;Maria Carolina Sérgi Gomes,&nbsp;Caroline Casagrande Sipoli,&nbsp;Danielli Andrea Nardino,&nbsp;Vitor Viganô Oliveira,&nbsp;Marcelo de Jesus Corte Rosalém,&nbsp;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":null,"pages":null},"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,&nbsp;Rafael Oliveira Defendi,&nbsp;Maria Carolina Sérgi Gomes,&nbsp;Caroline Casagrande Sipoli,&nbsp;Danielli Andrea Nardino,&nbsp;Vitor Viganô Oliveira,&nbsp;Marcelo de Jesus Corte Rosalém,&nbsp;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\":null,\"pages\":null},\"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}
引用次数: 0

摘要

本文旨在拟合百香果种子干燥过程的动力学模型,此外还利用传统模型和分式微积分建立了从种子中提取脂质的数学模型。分析表明,在两种干燥条件下,参数 α 的值都大于 1,这表明种子发生的剖面是超扩散。关于油脂萃取的数学拟合,发现双曲线和分数阶这两个模型对脂质萃取动力学的拟合效果最好。关于分数阶模型,由于参数 α 的值小于 1,可以看出该过程又不遵循菲克定律,在这种情况下出现了亚扩散过程。© 2024 化学工业学会(SCI)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Mathematical modeling of the drying and oil extraction processes of passion fruit seeds using fractional calculus

BACKGROUND

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.

RESULTS

Regarding the drying process, it was found that the model that best suited the two drying temperatures employed was the fractional order one.

CONCLUSION

Analysis showed that for both drying conditions the value of parameter α 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 α 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).

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
7.00
自引率
5.90%
发文量
268
审稿时长
1.7 months
期刊介绍: Journal of Chemical Technology and Biotechnology(JCTB) is an international, inter-disciplinary peer-reviewed journal concerned with the application of scientific discoveries and advancements in chemical and biological technology that aim towards economically and environmentally sustainable industrial processes.
期刊最新文献
Issue Information Adsorption behavior of graphite‐like walnut shell biochar modified with ammonia for ciprofloxacin in aqueous solution Eco‐friendly approaches for synthesis of indolyl 1H‐pyrroles using rice‐husk‐derived carbonaceous sulfonation as the green catalyst Impact of neutrophil‐activating protein conservation on diagnostic tests and vaccine design Issue Information
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1