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Title: Unsteady flow of Oldroyd-B fluids in an uniform rectilinear pipe using 1D models
Authors: Carapau, Fernando
Sequeira, Adélia
Keywords: Cosserat theory,
Oldroyd-B fluid,
steady solution,
axisymmetric motion,
volume flow rate,
average pressure gradient.
Issue Date: 1-Dec-2006
Publisher: Carapau, F., and Sequeira, A.,"Unsteady flow of Oldroyd-B fluids in an uniform rectilinear pipe using 1D models", Proceedings of the 2006 IASME/WSEAS International Conference on Continuum Mechanics, Chalkida, Greece, May 11-13, 2006, pp. 61-66.
Abstract: Using the one-dimensional approach based on the director theory which reduces the exact threedimensional equations to a system depending only on time and on a single spatial variable, we analyze the axisymmetric unsteady flow of an incompressible viscoelastic fluid of Oldroyd type in an uniform rectilinear pipe with circular cross-section. From this system we obtain the relationship between average pressure gradient and volume flow rate over a finite section of the pipe and the corresponding equation for the wall shear stress. Attention is focused on the steady flow case with rigid and impermeable walls.
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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