Phase field model for dendritic growth with impurities

F. L. O. Rodrigues, M. P. Almeida () and Raimundo N. Costa Filho ()
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F. L. O. Rodrigues: Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil
M. P. Almeida: Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil
Raimundo N. Costa Filho: Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 08, 1-8

Abstract: A phase field model is used to study dendritic growth in a media with impurities. The model consists of a square lattice where a parameter ψ can take values between 0 and 1 at each site. A site is in the solid phase for ψ>1, in the liquid phase for ψ=0, and the solid-liquid interface is expressed by 0<ψ<1. A fraction of the sites are considered impurities that cannot be solidified, i.e. ψ is fixed and taken as zero. These impurities are distributed randomly. As the probability p of impure sites in the lattice increases, the growth loses its dendritic characteristic. It is shown that the perimeter of the growing solid goes from quadratic to a linear function with time. It was also found that as the probability of impurities reaches p=0.004, the solid undergoes a transition from anisotropic to isotropic growth.

Keywords: Dendritic growth; phase field model; impurities (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117501054

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