Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/16117
|
Title: | One-dimensional model of fluids of third grade in straight tubes with constant radius |
Authors: | Carapau, Fernando Correia, Paulo |
Keywords: | One-dimensional model Fluid of third grade. |
Issue Date: | 10-Sep-2015 |
Publisher: | MatTriad’2015 |
Abstract: | In recent years the Cosserat theory approach has been applied in the field
of fluid dynamics to reduce the full three-dimensional system of equations of
the flow motion into a one-dimensional system of partial differential equations
which, apart from the dependence on time, depends only on a single spatial
variable. Applying this approach theory in the particular case of a straight
tube of constant circular cross-section, we obtain a one-dimensional model
related with the flow of a viscoelastic fluid of differential type with complexity
n = 3. From this reduced system, we derive unsteady equations for the wall
shear stress and mean pressure gradient depending on the volume flow rate,
tube geometry, Womersley number and viscoelastic coefficients over a finite
section of the straight rigid tube. Attention is focused on some numerical
simulations of unsteady flow regimes. |
URI: | http://hdl.handle.net/10174/16117 |
Type: | lecture |
Appears in Collections: | CIMA - Comunicações - Em Congressos Científicos Internacionais
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|