### Abstract

A mathematical model of solidification is presented. The model simulates the formation of segregation defects known as "freckles" during directional solidification of binary alloys. The growth of the two-phase or dendritic zone is calculated by solving the coupled equations of momentum, energy, and solute transport, as well as maintaining the thermodynamic constraints dictated by the phase diagram of the alloy. Calculations for lead-tin alloys show that the thermosolutal convection in the dendritic zone during solidification can produce heavily localized inhomogeneities in the composition of the final alloy.

Original language | English (US) |
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Title of host publication | Proceedings of the 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992 |

Editors | Robert Werner |

Publisher | Association for Computing Machinery |

Pages | 433-441 |

Number of pages | 9 |

ISBN (Electronic) | 0818626305 |

DOIs | |

State | Published - Dec 1 1992 |

Event | 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992 - Minneapolis, United States Duration: Nov 16 1992 → Nov 20 1992 |

### Publication series

Name | Proceedings of the International Conference on Supercomputing |
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Volume | Part F129723 |

### Other

Other | 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992 |
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Country | United States |

City | Minneapolis |

Period | 11/16/92 → 11/20/92 |

### ASJC Scopus subject areas

- Computer Science(all)

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## Cite this

*Proceedings of the 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992*(pp. 433-441). (Proceedings of the International Conference on Supercomputing; Vol. Part F129723). Association for Computing Machinery. https://doi.org/10.1109/superc.1992.236660