An unstructured CVFEM and moving interface algorithm for non-Newtonian Hele-Shaw flows in injection molding

Purpose - The purpose of this paper is to develop a novel unstructured simulation approach for injection molding processes described by the Hele-Shaw model. Design/methodology/approach - The scheme involves dual dynamic meshes with active and inactive cells determined from an initial background pointset. The quasi-static pressure solution in each timestep for this evolving unstructured mesh system is approximated using a control volume finite element method formulation coupled to a corresponding modified volume of fluid method. The flow is considered to be isothermal and non-Newtonian. Findings - Supporting numerical tests and performance studies for polystyrene described by Carreau, Cross, Ellis and Power-law fluid models are conducted. Results for the present method are shown to be comparable to those from other methods for both Newtonian fluid and polystyrene fluid injected in different mold geometries. Research limitations/implications - With respect to the methodology, the background pointset infers a mesh that is dynamically reconstructed here, and there are a number of efficiency issues and improvements that would be relevant to industrial applications. For instance, one can use the pointset to construct special bases and invoke a so-called ""meshless"" scheme using the basis. This would require some interesting strategies to deal with the dynamic point enrichment of the moving front that could benefit from the present front treatment strategy. There are also issues related to mass conservation and fill-time errors that might be addressed by introducing suitable projections. The general question of ""rate of convergence"" of these schemes requires analysis. Numerical results here suggest first-order accuracy and are consistent with the approximations made, but theoretical results are not available yet for these methods. Originality/value - This novel unstructured simulation approach involves dual meshes with active and inactive cells determined from an initial background pointset: local active dual patches are constructed ""on-the-fly"" for each ""active point"" to form a dynamic virtual mesh of active elements that evolves with the moving interface.

Science Teacher Education in Brazil: 1950-2000

This paper analyzes the most significant events occurring in Brazil`s educational, social and political areas over the last half century, viewed against a background of relevant worldwide events. The hypothesis presented here is that the relations between the country`s educational policies, the demands of the various segments of academia, and the public school system have always been strained. This strain has contributed positively to the evolution of academic knowledge and production, to the design of more modern curricular projects by institutional authorities, and to the initial recognition of the specific construction of school knowledge by the school system itself. However, the interaction of these major institutions lacks a crucial element-one that would lead to an effective change in the education of science teachers and produce a positive impact on Brazil`s schools-namely, the wholehearted participation of science teachers themselves. With this analysis, we intend to contribute by offering some perspectives and proposals for science teacher education in Brazil.