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Mathematical Modelling of Glass Forming Processes

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Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 2010)

Abstract

An important process in glass manufacture is the forming of the product. The forming process takes place at high rate, involves extreme temperatures and is characterised by large deformations. The process can be modelled as a coupled thermodynamical/mechanical problem including the interaction between glass, air and equipment. In this paper a general mathematical model for glass forming is derived, which is specified for different forming processes, in particular pressing and blowing. The model should be able to correctly represent the flow of the glass and the energy exchange during the process. Various modelling aspects are discussed for each process, while several key issues, such as the motion of the plunger and the evolution of the glass-air interfaces, are examined thoroughly. Finally, some examples of process simulations for existing simulation tools are provided.

Keywords

  • Brinkman Number
  • Counter Blow
  • Fast March Method
  • Trial Node
  • Plunger Velocity

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Groot, J.A.W.M., Mattheij, R.M.M., Laevsky, K.Y. (2011). Mathematical Modelling of Glass Forming Processes. In: Fasano, A. (eds) Mathematical Models in the Manufacturing of Glass. Lecture Notes in Mathematics(), vol 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15967-1_1

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