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Type: Artigo
Title: Analytical solution of steady 2D wall-free extensional flows of UCM fluids
Author(s)/Inventor(s): Cruz, Daniel Onofre de Almeida
Pinho, Fernando Manuel Coutinho Tavares de
Abstract: Indisponível.
Abstract: The general analytical solution for the two-dimensional steady planar extensional flow with wall-free stagnation point is obtained for viscoelastic fluids described by the upper convected Maxwell model providing the stress and pressure fields. The two normal stress fields contain terms that are unbounded for |a|De < ½, |a|De > ½ and even for any |a|De, where De denotes the Deborah number and |a|De denotes the Weissenberg number, but the pressure field is only unbounded for |a|De < ½. Properties of the first invariant of the stress tensor impose relations between the various stress and pressure coefficients and also require that they are odd functions of |a|De. The solution is such that no stress singularities exist if the stress boundary conditions are equal to the stress particular solutions. For |a|De < ½ the only way for the pressure to be bounded is for the stresses to be constant in the whole extensional flow domain and equal to those particular stresses, in which case the loss of stress smoothness, reported previously in the literature, does not exist. For |a|De > ½, however, the pressure remains bounded even in the presence of stress singularities. In all flow cases studied, the stress and pressure fields are contained by the general solution, but may require some coefficients to be null.
Keywords: Upper Convected Maxwell model
Wall-free steady planar stagnation point flow
Analytical solution
Stress and pressure fields
Department : Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Elsevier
In: Journal of Non-Newtonian Fluid Mechanics
Volume: 223
Issue Date: 24-Jun-2015
DOI: 10.1016/j.jnnfm.2015.06.001
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 0377-0257
Appears in Collections:Engenharias

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