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Title: 1D model of swirling flow motion of a viscous fluid in a circular straight tapered tube
Authors: Carapau, Fernando
Keywords: Cosserat theory,
nine-directors, .
unsteady flow,
axisymmetric motion,
mean pressure gradient,
volume flow rate,
swirling viscous fluid
Issue Date: 1-Feb-2009
Citation: Carapau, F., "1D model of swirling flow motion of a viscous fluid in a circular straight tapered tube", Proceedings of the International Conference on Topical Problems of Fluid Mechanics, Institute of Thermomechanics AS CR, Prague, Czech Republic, February 25-26, 2009, pp. 17-20.
Abstract: We present a 1D model for a viscous fluid with axial symmetric swirling motion flowing in a circular straight tube with variable radius. Integrating the equation of conservation of linear momentum over the tube cross-section, with the velocity field approximated by the Cosserat theory, we obtain a one-dimensional system depending only on time and on a single spatial variable. The velocity field approximation satisfies both the incompressibility condition and the kinematic boundary condition exactly. From this new system, we derive the equation for the wall shear stress and the relationship between mean pressure gradient, volume flow rate, and swirling scalar function over a finite section of the tube. Also, we obtain the corresponding partial differential equation for the swirling scalar function.
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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