Axisymmetric Swirling Motion of Viscoelastic Fluid Flow Inside a Slender Surface of Revolution

dc.contributor.authorCarapau, Fernando
dc.date.accessioned2012-11-14T11:45:41Z
dc.date.available2012-11-14T11:45:41Z
dc.date.issued2009-12-01
dc.description.abstractMotived by the aim of modelling the behavior of swirling flow motion, we present a 1D hierarchical model for an Rivlin-Ericksen fluid with complexity n = 2, flowing in a circular straight tube with constant and no constant radius. Integrating the equation of conservation of linear momentum over the tube cross-section, with the velocity field approximated by the Cosserat theory, we obtain a onedimensional system depending only on time and on a single spatial variable. The velocity field approximation satisfies both the incompressibility condition and the kinematic boundary condition exactly. From this new system, we derive the equation for the wall shear stress and the relationship between average pressure gradient, volume flow rate and swirling scalar function over a finite section of the tube. Also, we obtain the corresponding partial differential equation for the swirling scalar function.por
dc.identifier.authoremailflc@uevora.pt
dc.identifier.citationIAENG Engineering Letters, Issue 4, Volume 17, pp. 238-245, 2009.por
dc.identifier.issn1816-093X
dc.identifier.scientificarea721por
dc.identifier.urihttp://hdl.handle.net/10174/5560
dc.language.isoporpor
dc.peerreviewedyespor
dc.publisherIAENG Engineering Letterspor
dc.rightsrestrictedAccesspor
dc.subject1D model,por
dc.subjectwall shear stress,por
dc.subjectviscoelastic fluids.por
dc.subjectaverage pressure, gradient, volume flow rate, swirling flow motion,por
dc.titleAxisymmetric Swirling Motion of Viscoelastic Fluid Flow Inside a Slender Surface of Revolutionpor
dc.typearticlepor

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