Heat Transfer During Annealing of Steel Coils

  • Winston L. Sweatman
  • Steven I. Barry
  • Mark McGuinness
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 17)


Steel becomes brittle during the cold rolling process which is used to produce sheet metal. Heat treatment (annealing) is required to release stresses and reform the crystalline structure. The 2008 Mathematics-and Statistics-in- Industry Study Group in Wollongong (MISG08) modelled the approach used by New Zealand Steel for which steel coils are heated in a batch annealing furnace. Determining the temperature within each coil is complicated by height-dependent gaps within the coils. Deciding on suitable boundary conditions for the outside of the coils provides a further challenge. This is explored with two alternative models. Having made reasonable assumptions, a linear model is found to be sufficient for modelling the heating process and allows the cold point in the steel coil to be established.


Heat Transfer Suitable Boundary Condition Steel Coil Cold Rolling Process Coil Heat 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Winston L. Sweatman
    • 1
  • Steven I. Barry
    • 2
  • Mark McGuinness
    • 3
  1. 1.Massey UniversityAucklandNew Zealand
  2. 2.Australian National UniversityCanberraAustralia
  3. 3.Victoria University of WellingtonWellingtonNew Zealand

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