Modeling heat transfer with crystallization in rods and filaments

A study of modeling heat transfer with crystallization in thick rods is des cribed. We apply a formulation due to Nakamura et al. and Berger and Schnei der to determine the temperature pro files through a thick rod. This involv es a non-homogeneous cylindrical coordinate heat conduction equation with a heat of crystallization source term. The partial differential equation des cribing the temperature profile is represented in terms of dimensionless gr oups characterizing the ratios of heat of crystallization, surface heat tra nsfer and thermal inertia to heat conduction. These dimensionless groups ar e used to characterize the solutions of this equation. Different solution r egimes are predicted. The application to radial temperature profiles during melt spinning of polymer filaments is described.