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Some aspects of nonisothermal crystallization of polymers. III. Crystallization during melt spinning
Author(s) -
Nakamura K.,
Watanabe T.,
Amano T.,
Katayama K.
Publication year - 1974
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1974.070180223
Subject(s) - crystallization , crystallinity , crystallization of polymers , spinning , materials science , melt spinning , thermodynamics , thermal diffusivity , polymer , thermal , protein filament , polymer chemistry , composite material , physics
Crystallization during melt spinning is studied as an example of the nonisothermal crystallization of polymers. The following equation is derived, taking the temperature distribution within a filament into consideration:\documentclass{article}\pagestyle{empty}\begin{document}$$ \kappa \nabla ^2 T = {\rm V} \cdot {\rm grad } \ T ‐ \frac{{\Delta H}}{{C_p }}{\rm V} \cdot {\rm grad } \ X $$\end{document} where T = temperature, X = crystallinity, κ = thermal diffusivity, V = velocity, Δ H = heat of crystallization, and C p = specific heat at constant pressure. The assumptions and the procedure for a numerical calculation of crystallinity and temperature within a running filament are described, and some results of calculation are illustrated. The results are compared with those obtained by a simpler calculation in which the radial temperature distribution is neglected. The simpler method proved useful in connection with x‐ray measurements.