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Flow and heat transfer in pressing of glass products

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Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1739)

Abstract

In studying glass morphology often models are used that describe it as a strongly viscous Newtonian fluid. In this paper we shall study one of the problems encountered in glass technology. It is dealing with producing packing glass by a so-called pressing process. The pressing problem actually deals with the morphology of a bottle or jar. We first show how to deal with the temperature, by a suitable dimension analysis. In this analysis we see the dominance of the convection over the other modes of heat transfer. However, at the end of the pressing — a stage called The dwell — flow is absent and we have to deal with conduction and radiation in a heat-only problem. A similar analysis is made for the re-heating, where the internal stresses are relaxed before the final, blowing stage of the forming process. We give a number of numerical examples to sustain our results.

Keywords

  • Heat Transfer
  • Radiative Heat
  • Optical Thickness
  • Radiative Heat Transfer
  • Radiative Transfer Equation

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© 2000 Springer-Verlag

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Laevsky, K., van der Linden, B.J., Mattheij, R.M.M. (2000). Flow and heat transfer in pressing of glass products. In: Burkard, R.E., et al. Computational Mathematics Driven by Industrial Problems. Lecture Notes in Mathematics, vol 1739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103922

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  • DOI: https://doi.org/10.1007/BFb0103922

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67782-6

  • Online ISBN: 978-3-540-44976-8

  • eBook Packages: Springer Book Archive