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Permeability for cross flow through columnar-dendritic alloys

  • Mathematical Modeling
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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.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, the University of Arizona, 85721, Tucson, AZ

    M. S. Bhat (Graduate Research Assistant) & D. R. Poirier (Professor)

  2. Department of Aerospace and Mechanical Engineering, the University of Arizona, 85721, Tucson, AZ

    J. C. Heinrich (Professor)

Authors
  1. M. S. Bhat
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  2. D. R. Poirier
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  3. J. C. Heinrich
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Bhat, M.S., Poirier, D.R. & Heinrich, J.C. Permeability for cross flow through columnar-dendritic alloys. Metall Mater Trans B 26, 1049–1056 (1995). https://doi.org/10.1007/BF02654107

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  • DOI: https://doi.org/10.1007/BF02654107

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