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Description: |
The aim of this talk is to analyze the axisymmetric unsteady flow of an
incompressible generalized Newtonian fluid in a straight rigid and
impermeable tube with circular cross-section of constant radius. To make
this study, we use an approach based on the Cosserat theory (also called
director theory) related to fluid dynamics which reduces the exact
three-dimensional equations to a system which depends only on time and a
single spatial variable. From this system we obtain the relationship
between mean pressure gradient and volume flow rate over a finite
section of the pipe for the specific case of the power law viscosity
function. Moreover, we compare the 3D exact solution for steady volume
flow rate with the corresponding solution obtained by the Cosserat
theory using nine directors.
Fernando Carapau (Univ. ??vora), Adélia Sequeira (IST)
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