### 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 |

Publisher | Association for Computing Machinery |

Pages | 433-441 |

Number of pages | 9 |

Volume | Part F129723 |

ISBN (Electronic) | 0818626305 |

State | Published - Dec 1 1992 |

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

### 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 |

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### ASJC Scopus subject areas

- Computer Science(all)

### Cite this

*Proceedings of the 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992*(Vol. Part F129723, pp. 433-441). Association for Computing Machinery.

**Numerical simulation of freckle formation in directional solidification of binary alloys.** / Felicelli, Sergio D.; Heinrich, Juan C.; Poirier, David R.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992.*vol. Part F129723, Association for Computing Machinery, pp. 433-441, 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992, Minneapolis, United States, 11/16/92.

}

TY - GEN

T1 - Numerical simulation of freckle formation in directional solidification of binary alloys

AU - Felicelli, Sergio D.

AU - Heinrich, Juan C.

AU - Poirier, David R

PY - 1992/12/1

Y1 - 1992/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85031707199&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031707199&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85031707199

VL - Part F129723

SP - 433

EP - 441

BT - Proceedings of the 1992 ACM/IEEE conference on Supercomputing, Supercomputing 1992

PB - Association for Computing Machinery

ER -