Determining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Method

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dc.contributor.authorErhunmwun, Iredia Davis
dc.contributor.authorOside, Collins
dc.date.accessioned2019-08-20T10:06:58Z
dc.date.available2019-08-20T10:06:58Z
dc.date.issued2019-6-30en_US
dc.departmentBölüm Yoken_US
dc.description.abstractAn analysis has been carried out to determine the velocity profile of a fluid on an inclined plane using the Finite Element Method (FEM). The overall results from these finite elements were finally assembled to represent the velocity profile in the entire domain of the inclined plane. The results obtained from the finite element method shows that as the velocity distribution has a parabolic profile with the maximum velocity of 1109.8748m/s at open surface of the inclined plane. The fluid due to the no slip boundary condition has 0m/s at the walls of the inclined plane. Also, it was shown that the higher the angle of inclination and fluid viscosity, the lower the velocity and also the higher the fluid density, the higher the velocity. The result obtained from the FEM when compared with the result obtained from the exact differential equation method shows a strong agreement with a maximum percentage error of 2.3413x10-14 .en_US
dc.identifier.endpage68en_US
dc.identifier.issn2149-0104
dc.identifier.issn2149-5262
dc.identifier.issue2en_US
dc.identifier.startpage64en_US
dc.identifier.urihttps://hdl.handle.net/11363/1392
dc.identifier.volume5en_US
dc.language.isoenen_US
dc.publisherİstanbul Gelişim Üniversitesi Yayınları / Istanbul Gelisim University Pressen_US
dc.relation.ispartofInternational Journal of Engineering Technologiesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFinite Element Methoden_US
dc.subjectInclined Planeen_US
dc.subjectIncompressible Fluiden_US
dc.subjectInterpolation Functionen_US
dc.subjectWeak Formulationen_US
dc.titleDetermining the Velocity Distribution Profile of a Fluid in an Inclined Flat Surface Using the Finite Element Method and the Exact Differential Equation Methoden_US
dc.typeArticleen_US

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IJET Vol. 5, Issue 2, June 2019