{"title":"Flow and convection heat of spatial fractional derivative non-Newtonian fluids in fractal main channels","authors":"","doi":"10.1016/j.ifacol.2024.08.221","DOIUrl":null,"url":null,"abstract":"<div><p>This paper mainly investigates the convective diffusion of non-Newtonian fluids in fractal main channels. The spatial fractional derivative constitutive equations of non-Newtonian fluids are coupled with the flow equations to derive the governing equations for fluid flow and heat transfer. The shifted Grünwald– Letnikov formula is used to obtain numerical solutions for the model. The effects of fractional derivatives, Reynolds number, and Prandtl number on fluid flow and heat transfer are analyzed.</p></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2405896324009492/pdf?md5=96d902014779f537fc622d2d1d0c11c1&pid=1-s2.0-S2405896324009492-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC-PapersOnLine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2405896324009492","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
This paper mainly investigates the convective diffusion of non-Newtonian fluids in fractal main channels. The spatial fractional derivative constitutive equations of non-Newtonian fluids are coupled with the flow equations to derive the governing equations for fluid flow and heat transfer. The shifted Grünwald– Letnikov formula is used to obtain numerical solutions for the model. The effects of fractional derivatives, Reynolds number, and Prandtl number on fluid flow and heat transfer are analyzed.
期刊介绍:
All papers from IFAC meetings are published, in partnership with Elsevier, the IFAC Publisher, in theIFAC-PapersOnLine proceedings series hosted at the ScienceDirect web service. This series includes papers previously published in the IFAC website.The main features of the IFAC-PapersOnLine series are: -Online archive including papers from IFAC Symposia, Congresses, Conferences, and most Workshops. -All papers accepted at the meeting are published in PDF format - searchable and citable. -All papers published on the web site can be cited using the IFAC PapersOnLine ISSN and the individual paper DOI (Digital Object Identifier). The site is Open Access in nature - no charge is made to individuals for reading or downloading. Copyright of all papers belongs to IFAC and must be referenced if derivative journal papers are produced from the conference papers. All papers published in IFAC-PapersOnLine have undergone a peer review selection process according to the IFAC rules.