{"title":"On the positive self-similar solutions of the boundary-layer wedge flow problem of a power-law fluid","authors":"Jamal El Amrani, Tarik Amtout, Mustapha Er-Riani, Aadil Lahrouz, Adel Settati","doi":"10.1007/s10665-024-10394-8","DOIUrl":null,"url":null,"abstract":"<p>We first study the existence and uniqueness of a positive self-similar solution of the 2D boundary-layer equations of an incompressible viscous power-law fluid when the external flow is accelerating, and then we derive the bounds of the wall shear stress rate. For shear-thickening fluids, we show that the matching with the external flow occurs at a finite distance. Furthermore, we also investigate the asymptotic behaviour at infinity of positive solutions in the case of shear-thinning fluids.</p>","PeriodicalId":50204,"journal":{"name":"Journal of Engineering Mathematics","volume":"19 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Engineering Mathematics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s10665-024-10394-8","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
We first study the existence and uniqueness of a positive self-similar solution of the 2D boundary-layer equations of an incompressible viscous power-law fluid when the external flow is accelerating, and then we derive the bounds of the wall shear stress rate. For shear-thickening fluids, we show that the matching with the external flow occurs at a finite distance. Furthermore, we also investigate the asymptotic behaviour at infinity of positive solutions in the case of shear-thinning fluids.
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