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http://hdl.handle.net/10174/5587
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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. |
| URI: | http://hdl.handle.net/10174/5587 |
| Type: | article |
| Appears in Collections: | CIMA - Artigos em Livros de Actas/Proceedings
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