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|Title: ||Numerical simulations of a third-grade fluid flow on a tube through a contraction|
|Authors: ||Carapau, Fernando|
|Editors: ||van Heijst, G.J.F.|
|Keywords: ||Third-grade fluid|
|Issue Date: ||8-Mar-2017|
|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.|
|Appears in Collections:||CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica|
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