Generalized Newtonian fluid in a straight pipe using 1D models
 
 
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)
Area(s):
Date:  2007-04-12
Start Time:   10:30
Speaker:  Fernando Carapau (Univ. ??vora)
Place:  5.4
Research Groups: -Numerical Analysis and Optimization
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