{"title":"Flow Through Star-Shaped Cracks Filled with a Porous Medium","authors":"C. Y. Wang","doi":"10.1007/s11242-024-02101-z","DOIUrl":null,"url":null,"abstract":"<div><p>The important problem of the flow through a star-shaped crack is studied. Both clear and porous medium-filled ducts are solved for the first time. An accurate modified Ritz method is used to accommodate concave sharp corners. Flow rates and Poiseuille numbers are determined for star ducts with 2–6 pointy branches. Asymptotic approximations and corner singularities are discussed.</p></div>","PeriodicalId":804,"journal":{"name":"Transport in Porous Media","volume":null,"pages":null},"PeriodicalIF":2.7000,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transport in Porous Media","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11242-024-02101-z","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The important problem of the flow through a star-shaped crack is studied. Both clear and porous medium-filled ducts are solved for the first time. An accurate modified Ritz method is used to accommodate concave sharp corners. Flow rates and Poiseuille numbers are determined for star ducts with 2–6 pointy branches. Asymptotic approximations and corner singularities are discussed.
期刊介绍：
-Publishes original research on physical, chemical, and biological aspects of transport in porous media-
Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)-
Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications-
Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes-
Expanded in 2007 from 12 to 15 issues per year.
Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).
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