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Title: 1D dynamics of a second-grade viscous fluid in a constricted tube
Authors: Carapau, Fernando
Sequeira, Adélia
Keywords: Cosserat Theory,
volume flow rate,
average pressure gradient,
constricted tube.
wall shear stress
Issue Date: 1-Nov-2008
Citation: Banach Center Publications, Inst. Math, Polish Acad. Sc., Volume 81, pp. 95-103, 2008.
Abstract: Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid, to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and the corresponding equation for the wall shear stress.
ISSN: 0137-6934
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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