Axisymmetric motion of a generalized Rivlin-Ericksen fluids with shear-dependent normal stress coefficients

dc.contributor.authorCarapau, Fernando
dc.date.accessioned2012-11-14T11:53:12Z
dc.date.available2012-11-14T11:53:12Z
dc.date.issued2008-11-01
dc.description.abstractWe analyze the unsteady flow of an incompressible generalized second-order fluid in a straight rigid tube, with circular cross-section of constant radius, where the normal stress coefficients depend on the shear rate by using a power law model. The full 3D unsteady model is simplified using a one-dimensional hierarchical approach based on the Cosserat theory related to fluid dynamics, which reduces the exact three-dimensional equations to a system depending only on time and on a single spatial variable. From this new system we obtain the relationship between mean pressure gradient and volume flow rate over a finite section of the tube. Attention is focused on some numerical simulation for unsteady/ steady mean pressure gradient and on the analysis of perturbed flows.por
dc.identifier.authoremailflc@uevora.pt
dc.identifier.citationInter. Journal of Mathematical Models and Methods in Applied Sciences, Issue 2, Volume 2, pp. 168-175, 2008.por
dc.identifier.issn1998-0140
dc.identifier.urihttp://hdl.handle.net/10174/5563
dc.language.isoporpor
dc.peerreviewedyespor
dc.rightsrestrictedAccesspor
dc.subjectCosserat theory,por
dc.subjectaxisymmetric motion,por
dc.subjectmean pressure gradient,por
dc.subjectvolume flow rate,por
dc.subjectperturbed flows,por
dc.subjectpower law viscoelastic function.por
dc.titleAxisymmetric motion of a generalized Rivlin-Ericksen fluids with shear-dependent normal stress coefficientspor
dc.typearticlepor

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