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http://hdl.handle.net/10174/5581
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| Title: | Average Pressure Gradient of Swirling Flow Motion of a Viscoelastic Fluid in a Circular Straight Tube with Constant Radius |
| Authors: | Carapau, Fernando |
| Keywords: | 1D model,
average pressure gradient,
Rivlin-Ericksen fluids
volume flow rate,
swirling flow motion |
| Issue Date: | 1-Feb-2009 |
| Citation: | Carapau, F., "Average Pressure Gradient of Swirling Flow Motion of a Viscoelastic Fluid in a Circular Straight Tube with Constant Radius", Proceedings of the International Conference on Mechanical Engineering, WCE-2009, Imperial College London, London, U.K., 1-3 July, 2009, pp. 1431-1435. |
| Abstract: | Motived by the aim of modelling the behavior
of swirling flow motion, we present a 1D hierarchical
model for an Rivlin-Ericksen fluid with complexity
n = 2 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.
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 average 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/10174/5581 |
| Type: | article |
| Appears in Collections: | CIMA - Artigos em Livros de Actas/Proceedings
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