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Title: Numerical simulation of generalized second-grade fluids using a 1D hierarchical model
Authors: Carapau, Fernando
Sequeira, Adélia
Janela, João
Keywords: Cosserat theory,
generalized second-grade fluid,
axisymmetric motion,
volume flow rate,
pressure gradient,
unsteady rectilinear flow,
power law viscosity
Issue Date: 1-Oct-2006
Citation: Carapau, F., Sequeira, A., and Janela, J., "Numerical simulation of generalized second-grade fluids using a 1D hierarchical model", Proceedings of the 10th WSEAS International Conference on Applied Mathematics, Dallas, Texas, USA, November 1-3, 2006, pp. 337-342.
Abstract: We consider the flow of a non-Newtonian incompressible second-grade fluid in an uniform rec- tilinear pipe and generalize it by introducing a shear-dependent viscosity function of power law type. The full 3D set of equations is reduced to a one-dimensional problem involving only time and one spatial variable. This is done using a director theory for fluid dynamics, also called Cosserat theory. An axisym- metric unsteady relationship between mean pressure gradient and volume flow rate over a finite section of the pipe and the corresponding equation to the wall shear stress are derived from this theory.
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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