{"title":"Flow Induced Vibration of Cantilever Tapered Pipes Transporting Fluid","authors":"Mohamed S. Gaith","doi":"10.37394/232013.2021.16.2","DOIUrl":null,"url":null,"abstract":"A cantilevered tapered slender pipe conveying an incompressible, inviscid fluid of one material is not a conserved system. For certain large fluid velocity, the pipe with uniform cross section would go unstable via flutter Hopf bifurcation. In this paper, the flow induced vibration for cantilever tapering pipe transporting a fluid is presented. Euler Bernoulli and Hamilton’s theories are applied to develop the mathematical model which will be solved using well known Galerkan’s procedure. The effect of smooth tapering of the circular cross sectional area, flow velocity and pipe to fluid mass fraction on the complex natural frequencies and stability will be investigated.","PeriodicalId":39418,"journal":{"name":"WSEAS Transactions on Fluid Mechanics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Fluid Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/232013.2021.16.2","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: 3
Abstract
A cantilevered tapered slender pipe conveying an incompressible, inviscid fluid of one material is not a conserved system. For certain large fluid velocity, the pipe with uniform cross section would go unstable via flutter Hopf bifurcation. In this paper, the flow induced vibration for cantilever tapering pipe transporting a fluid is presented. Euler Bernoulli and Hamilton’s theories are applied to develop the mathematical model which will be solved using well known Galerkan’s procedure. The effect of smooth tapering of the circular cross sectional area, flow velocity and pipe to fluid mass fraction on the complex natural frequencies and stability will be investigated.
期刊介绍：
WSEAS Transactions on Fluid Mechanics publishes original research papers relating to the studying of fluids. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of this particular area. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with multiphase flow, boundary layer flow, material properties, wave modelling and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.
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