Abstract
We investigate analytically and computationally the dynamics of two-dimensional needle crystal growth from the melt in a narrow channel. Our analytical theory predicts that, in the low supersaturation limit, the growth velocity decreases in time as a power law , which we validate by phase-field and dendritic-needle-network simulations. Simulations further reveal that, above a critical channel width , where is the diffusion length, needle crystals grow with a constant , where is the free-growth needle crystal velocity, and approaches in the limit .
- Received 16 November 2022
- Accepted 13 April 2023
DOI:https://doi.org/10.1103/PhysRevE.107.L052801
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