Numerical simulations of a second-order fluid with normal stress coefficients depending on the shear rate

dc.contributor.authorCarapau, Fernando
dc.date.accessioned2012-11-14T11:49:10Z
dc.date.available2012-11-14T11:49:10Z
dc.date.issued2008-01-01
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 under constant mean pressure gradient and on the analysis of perturbed flows.por
dc.identifier.authoremailnd
dc.identifier.citationProceedings of the American Conference on Applied Mathematics, University of Harvard, Cambridge, MA, USA, March 24-26, 2008, pp. 389-395.por
dc.identifier.revistaProceedings of the American Conference on Applied Mathematics, University of Harvard, Cambridge, MA, USA, March 24-26, 2008, pp. 389-395.
dc.identifier.scientificarea721por
dc.identifier.urihttp://hdl.handle.net/10174/5562
dc.language.isoporpor
dc.peerreviewedyespor
dc.rightsrestrictedAccesspor
dc.subjectCosserat Theorypor
dc.titleNumerical simulations of a second-order fluid with normal stress coefficients depending on the shear ratepor
dc.typearticlepor

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