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Title: Axisymmetric motion of a generalized Rivlin-Ericksen fluids with shear-dependent normal stress coefficients
Authors: Carapau, Fernando
Keywords: Cosserat theory,
axisymmetric motion,
mean pressure gradient,
volume flow rate,
perturbed flows,
power law viscoelastic function.
Issue Date: 1-Nov-2008
Citation: Inter. Journal of Mathematical Models and Methods in Applied Sciences, Issue 2, Volume 2, pp. 168-175, 2008.
Abstract: We analyze the unsteady flow of an incompressible generalized second-order fluid in a straight rigid tube, with circular cross-section of constant radius, where the normal stress coefficients depend on the shear rate by using a power law model. The full 3D unsteady model is simplified using a one-dimensional hierarchical approach based on the Cosserat theory related to fluid dynamics, which reduces the exact three-dimensional equations to a system depending only on time and on a single spatial variable. From this new 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 for unsteady/ steady 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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