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Title: Specific shear-dependent viscoelastic third-grade fluid model
Authors: Carapau, Fernando
Correia, Paulo
Grilo, Luís M.
Editors: AIP
Keywords: One-dimensional model
third-grade model
Cosserat theory
Issue Date: 9-Dec-2016
Publisher: AIP Conference Proceeding
Citation: F., Carapau, P., Correia, L.M., Grilo, Specific shear-dependent viscosity third-grade fluid model, ICCMSE 2016, 17-24 March, Athens, Greece, AIP Conference Proceeding, 1790, 140008-1--140008-4; doi:10.1063/1.4968737.
Abstract: A specific modified constitutive equation for a third-grade fluid is proposed so that the model be suitable for applications where shear-thinning or shear-thickening may occur. For that, we use the Cosserat theory approach reducing the exact three-dimensional equations to a system depending only on time and on a single spatial variable. This one-dimensional system is obtained by integrating the linear momentum equation over the cross-section of the tube, taking a velocity field approximation provided by the Cosserat theory. From this reduced system, we obtain the unsteady equations for the wall shear stress and mean pressure gradient depending on the volume flow rate, Womersley number, viscoelastic coefficient and flow index over a finite section of the tube geometry with constant circular cross-section.
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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