Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/20884

Title: Numerical simulations of a third-grade fluid flow on a tube through a contraction
Authors: Carapau, Fernando
Correia, Paulo
Editors: van Heijst, G.J.F.
Dias, F.
Keywords: Third-grade fluid
unsteady flow
hierarchical theory
one-dimensional model
Issue Date: 8-Mar-2017
Publisher: Elsevier
Citation: F. Carapau, P. Correia: Numerical simulations of a third-grade fluid flow on a tube through a contraction, European Journal of Mechanics B/Fluids, V.65 (2017), pp.45-53
Abstract: Based on a director theory approach related to fluid dynamics we reduce the nonlinear three-dimensional equations governing the axisymmetric unsteady motion of a non-Newtonian incompressible third-grade fluid to a one-dimensional system of ordinary differential equations depending on time and on a single spatial variable. From this new system we obtain the unsteady equation for the mean pressure gradient and the wall shear stress both depending on the volume flow rate, Womersley number and viscoelastic parameters over a finite section of a straight, rigid and impermeable tube with variable circular crosssection. We present some numerical simulations of unsteady flows regimes through a tube with a contraction using a nine-directors theory.
URI: http://www.sciencedirect.com/science/article/pii/S0997754616300826
http://hdl.handle.net/10174/20884
ISSN: 0997-7546
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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