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Mathematical Modeling of Some Glass Problems

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Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

Abstract

In studying glass morphology one often uses models, which describe it as a strongly viscous Newtonian fluid. In this chapter we shall study two types of problems encountered in glass technology. One is dealing with so-called sintering, which plays a role in producing high-quality glasses, for example, and the other with producing packing glass by so-called pressing. We give a Stokes model to describe these processes and discuss various aspects of the evolution of both forming problems. The sintering problem is solved by a boundary element method, for which we use an interesting analytical tool to avoid numerical instabilities. The pressing problem actually deals with the morphology of a bottle or jar. Here we focus on simulating the glass flow. We first show how to deal with the temperature separately, by a suitable dimension analysis. Then we consider the flow of the glass in a domain with a partially free and partially moving boundary. We give a number of numerical examples to sustain our result.

Keywords

  • Complex Flow
  • Contact Radius
  • Excess Free Energy
  • Liquid Glass
  • Contact Conductance

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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Laevsky, K., Mattheij, R.M.M. (2000). Mathematical Modeling of Some Glass Problems. In: Fasano, A. (eds) Complex Flows in Industrial Processes. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1348-2_6

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  • DOI: https://doi.org/10.1007/978-1-4612-1348-2_6

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7106-2

  • Online ISBN: 978-1-4612-1348-2

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