### Abstract

Experiments for measuring permeability in columnar-dendritic microstructures have provided data only up to a volume fraction of liquid of 0.66. Hence, the permeability for flow perpendicular to the primary dendrite arms in columnar-dendritic microstructures was calculated, extending our data base for permeability to volume fractions of liquid as high as 0.98. Analyses of the dendritic microstructures were undertaken first by detecting the solid-liquid interfaces with a special computer program and then by generating a mesh for a finite-element fluid flow simulation. Using a Navier-Stokes solver, the velocity and pressure at the nodes were calculated at the microstructural level. In turn, the average pressure gradient was used to calculate the Darcy permeability. Permeabilities calculated by this versatile technique provided data at high volume fractions of liquid that merged with the empirical data at the lower volume fractions.

Original language | English (US) |
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Pages (from-to) | 1049-1056 |

Number of pages | 8 |

Journal | Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science |

Volume | 26 |

Issue number | 5 |

DOIs | |

State | Published - Oct 1995 |

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### ASJC Scopus subject areas

- Metals and Alloys
- Materials Science(all)

### Cite this

*Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science*,

*26*(5), 1049-1056. https://doi.org/10.1007/BF02654107

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

Research output: Contribution to journal › Article

*Metallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science*, vol. 26, no. 5, pp. 1049-1056. https://doi.org/10.1007/BF02654107

}

TY - JOUR

T1 - Permeability for cross flow through columnar-dendritic alloys

AU - Bhat, M. S.

AU - Poirier, David R

AU - Heinrich, J. C.

PY - 1995/10

Y1 - 1995/10

N2 - Experiments for measuring permeability in columnar-dendritic microstructures have provided data only up to a volume fraction of liquid of 0.66. Hence, the permeability for flow perpendicular to the primary dendrite arms in columnar-dendritic microstructures was calculated, extending our data base for permeability to volume fractions of liquid as high as 0.98. Analyses of the dendritic microstructures were undertaken first by detecting the solid-liquid interfaces with a special computer program and then by generating a mesh for a finite-element fluid flow simulation. Using a Navier-Stokes solver, the velocity and pressure at the nodes were calculated at the microstructural level. In turn, the average pressure gradient was used to calculate the Darcy permeability. Permeabilities calculated by this versatile technique provided data at high volume fractions of liquid that merged with the empirical data at the lower volume fractions.

AB - Experiments for measuring permeability in columnar-dendritic microstructures have provided data only up to a volume fraction of liquid of 0.66. Hence, the permeability for flow perpendicular to the primary dendrite arms in columnar-dendritic microstructures was calculated, extending our data base for permeability to volume fractions of liquid as high as 0.98. Analyses of the dendritic microstructures were undertaken first by detecting the solid-liquid interfaces with a special computer program and then by generating a mesh for a finite-element fluid flow simulation. Using a Navier-Stokes solver, the velocity and pressure at the nodes were calculated at the microstructural level. In turn, the average pressure gradient was used to calculate the Darcy permeability. Permeabilities calculated by this versatile technique provided data at high volume fractions of liquid that merged with the empirical data at the lower volume fractions.

UR - http://www.scopus.com/inward/record.url?scp=0029392092&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029392092&partnerID=8YFLogxK

U2 - 10.1007/BF02654107

DO - 10.1007/BF02654107

M3 - Article

VL - 26

SP - 1049

EP - 1056

JO - Metallurgical and Materials Transactions B

JF - Metallurgical and Materials Transactions B

SN - 1073-5615

IS - 5

ER -