Permeability for cross flow through columnar-dendritic alloys |
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Authors: | M S Bhat D R Poirier J C Heinrich |
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Affiliation: | (1) Department of Materials Science and Engineering, the University of Arizona, 85721 Tucson, AZ;(2) Department of Aerospace and Mechanical Engineering, the University of Arizona, 85721 Tucson, AZ |
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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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Keywords: | |
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