In:
Computational Methods in Applied Mathematics, Walter de Gruyter GmbH, Vol. 4, No. 2 ( 2004), p. 131-162
Abstract:
In this paper we consider numerical algorithms for solving the system
of nonlinear PDEs, arising in modeling of liquid polymer injection. We investigate the particular case where a porous preform is located within the mould, so that the liquid
polymer is flowing through a porous medium during the filling stage. The nonlinearity of the governing system of PDEs is due to the non-Newtonian behavior of the polymer,
as well as to the moving free boundary. The latter is related to the penetration front, and a Stefan type problem is formulated to take into account. A finite-volume
method is used to approximate the given differential problem. Results from numerical experiments are presented.
We also solve an inverse problem and present algorithms for determination of the absolute preform permeability coefficient for the case where the velocity of the penetration
front is known from the measurements. In both considered cases (direct and inverse problems), we focus on the specificity
related to the non-Newtonian behavior of the polymer. For completeness, we also discuss the Newtonian case. Results of some experimental measurements are presented
and discussed.
Type of Medium:
Online Resource
ISSN:
1609-9389
,
1609-4840
DOI:
10.2478/cmam-2004-0008
Language:
Unknown
Publisher:
Walter de Gruyter GmbH
Publication Date:
2004
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