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Phase-field model of solidification of a binary alloy

Author

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  • Bi, Zhiqiang
  • Sekerka, Robert F.

Abstract

We develop a rather general thermodynamically consistent phase-field model for solidification of a binary alloy, based on an entropy functional that contains squared gradient terms in the energy density, the composition and the phase-field variable. By assuming positive local entropy production, we derive generalized phase-field equations for an alloy, including cross terms that connect thermal and compositional driving forces to energy and solute fluxes. We explore this model in detail for a regular solution and show that four existing models can be recovered as special cases. We also use it to develop a new phase-field model for an alloy in which an explicit phase-field variable is absent.

Suggested Citation

  • Bi, Zhiqiang & Sekerka, Robert F., 1998. "Phase-field model of solidification of a binary alloy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(1), pages 95-106.
    • Handle: RePEc:eee:phsmap:v:261:y:1998:i:1:p:95-106
    DOI: 10.1016/S0378-4371(98)00364-1
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