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MASS CONSERVATION ENHANCEMENT OF FREE BOUNDARY FLOWS IN COMPOSITES MANUFACTURING
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Resumo(s)
Undesirable void formation during the injection phase of the liquid composite
molding process can be understood as a consequence of the non-uniformity of the flow front
progression, caused by the dual porosity of the fiber perform. Therefore the best examination
of the void formation physics can be provided by a mesolevel analysis, where the
characteristic dimension is given by the fiber tow diameter. In mesolevel analysis, liquid
impregnation along two different scales; inside fiber tows and within the spaces between
them; must be considered and the coupling between these flow regimes must be addressed. In
such case, it is extremely important to account correctly for the surface tension effects, which
can be modeled as capillary pressure applied at the flow front. When continues Galerkin
method is used, exploiting elements with velocity components and pressure as nodal
variables, strong numerical implementation of such boundary conditions leads to ill-posing of
the problem, in terms of the weak classical as well as stabilized formulation. As a
consequence, there is an error in mass conservation accumulated especially along the free
flow front. This article presents a numerical procedure, which was formulated and
implemented in the existing Free Boundary Program in order to significantly reduce this
error.
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Palavras-chave
void formation, capillary pressure, mass conservation, free boundary flows, dual porosity