Analytical solution for transient flow of a generalized bingham fluid with memory in a movable tube using computer algebra

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dc.contributor.authorOspina, Juan
dc.contributor.authorVelez, Mario
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorOspina, Juan
dc.creatorVelez, Mario
dc.date.accessioned2021-03-26T21:35:19Z
dc.date.available2021-03-26T21:35:19Z
dc.date.issued2007-01-01
dc.description.abstractA rheological linear model for a certain generalized Bingham fluid with rheological memory, which flows in a movable tube is proposed and analytically solved. The model is a system of two linear and coupled partial differential equations with integral memory. We apply the Laplace transform method making the inverse transform by means of the Bromwich integral and the theorem of residues and the analytical solution are obtained using computer algebra. We deduce the explicit forms of the velocity and stress profiles for the generalized Bingham fluid in terms of Bessel and Struve functions. Various limit cases are obtained and the standard Hagen-Poiseuille and Buckingham-Reiner equations are recovered from more general equations. This works shows the powerful of Maple to solve complex rheological problems in an analytical form as it is presented here by the first time. © Springer-Verlag Berlin Heidelberg 2007.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1617
dc.identifier.doi10.1007/978-3-540-75187-8_26
dc.identifier.issn03029743
dc.identifier.issn16113349
dc.identifier.otherWOS;000250720500026
dc.identifier.otherSCOPUS;2-s2.0-38149103145
dc.identifier.urihttp://hdl.handle.net/10784/27400
dc.language.isoengeng
dc.publisherSPRINGER
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-38149103145&partnerID=40&md5=a07c099245397dfac22d0c8881a840ce
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0302-9743
dc.sourceLecture Notes In Computer Science
dc.subject.keywordFunctionseng
dc.subject.keywordIntegral equationseng
dc.subject.keywordMathematical modelseng
dc.subject.keywordPartial differential equationseng
dc.subject.keywordRheologyeng
dc.subject.keywordTheorem provingeng
dc.subject.keywordLinear modelseng
dc.subject.keywordMovable tubeseng
dc.subject.keywordRheological problemseng
dc.subject.keywordAlgebraeng
dc.titleAnalytical solution for transient flow of a generalized bingham fluid with memory in a movable tube using computer algebraeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
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