The self-sustaining process of transformation from an amorphous state to the crystalline state is considered. The crystallizing layer, which is mounted on a substrate, is assumed to be very thin. Thus the energy balance for the layer reduces to the equation of one-dimensional heat diffusion with a source term due to the local liberation of latent heat and a heat loss term due to thermal contact with the substrate. The crystallization rate is determined by a rate equation based on the crystallization theory due to A.N. Kolmogorov and M. Avrami. Heat conduction in the substrate is described by introducing a continuous distribution of moving heat sources at the interface. The problem is solved numerically with a collocation method. The propagation speed of the crystallization wave is obtained as an eigenvalue. Dual solutions are found below a critical value of a non-dimensional heat-loss parameter, whereas no solution exists above that value.
- Heat Transfer Division
Explosive Crystallization in Thin Amorphous Layers on Heat Conducting Substrates
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Buchner, C, & Schneider, W. "Explosive Crystallization in Thin Amorphous Layers on Heat Conducting Substrates." Proceedings of the 2010 14th International Heat Transfer Conference. 2010 14th International Heat Transfer Conference, Volume 3. Washington, DC, USA. August 8–13, 2010. pp. 275-284. ASME. https://doi.org/10.1115/IHTC14-22187
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