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Simulation of Phase Field Method of Dendrite Growth in Undercooled Melt of Pure Metal

Hu Yong

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Abstract

The dendrite growth of pure metal in undercooled melts was simulated by using phase field model(PFM) and finite difference schemes. The connection between the dendrite morphologies and some parameters in phase-field model were studied, which include the coupling coefficient of the temperature field(λ) and the phase field, the thermal diffusivity(DT), the time parameter of interface atomic motion(τ0) and so on. The results show that, with the increase of coupling coefficient of the temperature field and the phase field, the grain morphologies transformed from compact dendrite to seaweed morphologies; with the increase of thermal diffusivity and the time parameter of interface atomic motion, the dendrite morphologies transform to compact morphologies from slim dendrite.

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What this paper is about

The dendrite growth of pure metal in undercooled melts was simulated by using phase field model(PFM) and finite difference schemes. The connection between the dendrite morphologies and some parameters in phase-field model were studied, which include the coupling coefficient of the temperature field(λ) and the phase field, the thermal diffusivity(DT), the time parameter of interface atomic motion(τ0) and so on. The results show that, with the increase of coupling coefficient of the temperature field and the phase field, the grain morphologies transformed from compact dendrite to seaweed morphologies; with the increase of thermal diffusivity and the time parameter of interface atomic motion, the dendrite morphologies transform to compact morphologies from slim dendrite.

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Available abstract

The dendrite growth of pure metal in undercooled melts was simulated by using phase field model(PFM) and finite difference schemes. The connection between the dendrite morphologies and some parameters in phase-field model were studied, which include the coupling coefficient of the temperature field(λ) and the phase field, the thermal diffusivity(DT), the time parameter of interface atomic motion(τ0) and so on. The results show that, with the increase of coupling coefficient of the temperature field and the phase field, the grain morphologies transformed from compact dendrite to seaweed morphologies; with the increase of thermal diffusivity and the time parameter of interface atomic motion, the dendrite morphologies transform to compact morphologies from slim dendrite.

Key concepts: Dendrite (mathematics), Materials science, Thermal diffusivity, Phase (matter), Field (mathematics), Supercooling, Coupling (piping), Condensed matter physics

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