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Title: Analysis of perturbed flows of a second-order fluid using a 1D hierarchical model
Authors: Carapau, Fernando
Keywords: Cosserat theory,
perturbed flow,
unsteady flow,
volume flow rate,
second-order fluid,
mean pressure gradient.
Issue Date: 1-Nov-2008
Publisher: Inter. Journal of Mathematics and Computers in Simulation
Citation: nter. Journal of Mathematics and Computers in Simulation, Issue 3, Volume 2, pp. 256-263, 2008.
Abstract: The aim of this paper is to analyze the unsteady flow of a non-Newtonian incompressible second-order fluid in a straight rigid axisymmetric tube with circular crosssection of constant radius. To study this problem, we use the 1D nine-director Cosserat theory approach which reduces the exact three-dimensional equations to a system depending only on time and on a single spatial variable. From this onedimensional 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 of steady/unsteady flows for specific mean pressure gradient and on the analysis of perturbed flows.
ISSN: 1998-0140
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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