Summary
Crystallized layer growth from a hot polymer melt on a cold metal surface is treated theoretically. The classical solution of the boundary value problem for “heat diffusion controlled” growth is replaced by a (numerical) solution of the more adequate boundary value problem for “nucleation rate controlled” growth. In this way the unrealistic square root dependence of the layer thickness on time, possessing an infinite initial slope, is replaced by a dependence with finite initial slope, which furnishes the experimentally relevant growth speed at the temperature of the cold wall. The importance of this new approach for the description of the processes occurring in the material during the quench on a cold wall is stressed.
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Eder, G., Janeschitz-Kriegl, H. Stefan problem and polymer processing. Polymer Bulletin 11, 93–98 (1984). https://doi.org/10.1007/BF00258013
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DOI: https://doi.org/10.1007/BF00258013