### Abstract

The permeability for flow of intergranular liquid through fixed equiaxed grains was calculated for volume fraction of liquid in the range of 0.40 to 0.932. These permeabilities were obtained by calculation in order to augment empirical data which are restricted to volume fraction of liquid less than 0.48. The calculated permeabilities are based on calculated flow in actual microstructures of equiaxed grains, obtained by quenching during early stages of solidification. A special method of processing the images of the microstructures and of building a finite-element mesh was adopted to effect the calculations of two-dimensional flows. Permeabilities extracted from the two-dimensional flows were corrected for three-dimensional flows by deducing the ratio of the permeability for three-dimensional flows through random arrays of uniform spheres to the permeabilities for two-dimensional flows past the circles formed by a plane intersecting randomly placed spheres. The permeabilities are given in nondimensional form by selecting the reciprocal of the specific area of the solid (S_{v}^{-1}) as the characteristic length scale of the microstructure. These calculated permeabilities are combined with empirically measured permeabilities and results from sedimentation experiments to make a set of 82 data and regressions for calculating permeability as a function of fraction solid and S_{v}^{-1}.

Original language | English (US) |
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Title of host publication | Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing |

Editors | R. Abbaschian, H. Brody, A. Mortensen, R. Abbaschian, H. Brody, A. Mortensen |

Pages | 287-296 |

Number of pages | 10 |

State | Published - 2000 |

Event | Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing - Cambridge, MA, United States Duration: Jun 28 2000 → Jun 30 2000 |

### Other

Other | Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing |
---|---|

Country | United States |

City | Cambridge, MA |

Period | 6/28/00 → 6/30/00 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing*(pp. 287-296)

**Permeability for flow through equiaxed-dendritic alloys.** / Poirier, David R; Heinrich, J. C.; Erdmann, R. G.; Bhat, M. S.

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

*Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing.*pp. 287-296, Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing, Cambridge, MA, United States, 6/28/00.

}

TY - GEN

T1 - Permeability for flow through equiaxed-dendritic alloys

AU - Poirier, David R

AU - Heinrich, J. C.

AU - Erdmann, R. G.

AU - Bhat, M. S.

PY - 2000

Y1 - 2000

N2 - The permeability for flow of intergranular liquid through fixed equiaxed grains was calculated for volume fraction of liquid in the range of 0.40 to 0.932. These permeabilities were obtained by calculation in order to augment empirical data which are restricted to volume fraction of liquid less than 0.48. The calculated permeabilities are based on calculated flow in actual microstructures of equiaxed grains, obtained by quenching during early stages of solidification. A special method of processing the images of the microstructures and of building a finite-element mesh was adopted to effect the calculations of two-dimensional flows. Permeabilities extracted from the two-dimensional flows were corrected for three-dimensional flows by deducing the ratio of the permeability for three-dimensional flows through random arrays of uniform spheres to the permeabilities for two-dimensional flows past the circles formed by a plane intersecting randomly placed spheres. The permeabilities are given in nondimensional form by selecting the reciprocal of the specific area of the solid (Sv-1) as the characteristic length scale of the microstructure. These calculated permeabilities are combined with empirically measured permeabilities and results from sedimentation experiments to make a set of 82 data and regressions for calculating permeability as a function of fraction solid and Sv-1.

AB - The permeability for flow of intergranular liquid through fixed equiaxed grains was calculated for volume fraction of liquid in the range of 0.40 to 0.932. These permeabilities were obtained by calculation in order to augment empirical data which are restricted to volume fraction of liquid less than 0.48. The calculated permeabilities are based on calculated flow in actual microstructures of equiaxed grains, obtained by quenching during early stages of solidification. A special method of processing the images of the microstructures and of building a finite-element mesh was adopted to effect the calculations of two-dimensional flows. Permeabilities extracted from the two-dimensional flows were corrected for three-dimensional flows by deducing the ratio of the permeability for three-dimensional flows through random arrays of uniform spheres to the permeabilities for two-dimensional flows past the circles formed by a plane intersecting randomly placed spheres. The permeabilities are given in nondimensional form by selecting the reciprocal of the specific area of the solid (Sv-1) as the characteristic length scale of the microstructure. These calculated permeabilities are combined with empirically measured permeabilities and results from sedimentation experiments to make a set of 82 data and regressions for calculating permeability as a function of fraction solid and Sv-1.

UR - http://www.scopus.com/inward/record.url?scp=0034590240&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034590240&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0034590240

SN - 0873394984

SN - 9780873394987

SP - 287

EP - 296

BT - Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing

A2 - Abbaschian, R.

A2 - Brody, H.

A2 - Mortensen, A.

A2 - Abbaschian, R.

A2 - Brody, H.

A2 - Mortensen, A.

ER -