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Title: Swirling motion of a second-order viscous fluid in a straight tube
Authors: Carapau, Fernando
Sequeira, Adélia
Keywords: Cosserat theory,
unsteady flow,
axisymmetric motion,
volume flow rate,
second-order fluid
mean pressure gradient,
Issue Date: 1-Jan-2007
Publisher: Carapau, F., Sequeira, A., "Swirling motion of a second-order viscous fluid in a straight tube", Proceedings of the International Conference on Topical Problems of Fluid Mechanics, Institute of Thermomechanics AS CR, Prague, Czech Republic, February 28 – March 2, 2007, pp. 21-24.
Abstract: We consider a second-order viscous fluid with swirling motion flowing in a circular straight tube with constant 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. From this 1D model, we derive the relationship between mean pressure gradient and volume flow rate over a finite section of the tube as well the wall shear stress.
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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