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Mathematical Modeling of Some Glass Problems

  • K. Laevsky
  • R. M. M. Mattheij
Chapter
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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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • K. Laevsky
    • 1
  • R. M. M. Mattheij
    • 1
  1. 1.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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