Permeability for flow of interdendritic liquid in columnar-dendritic alloys

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Abstract

Permeability data for the flow of interdendritic liquid in partially solid Pb-Sn and borneol-paraffin columnar-alloys are summarized. The data are used in regression analyses and simple flow models to arrive at relationships between permeability and the morphology of the solid dendrites. When flow is parallel to the primary dendrite arms, the important morphological aspects are the volume fraction liquid (g L) and the primary dendrite arm spacing (d 1). When flow is normal to the primary dendrite arms, the permeability depends upon the secondary dendrite arm spacing (d 2) as well as d 1 and g L. The parallel permeability is best described by a model based on the Hagen-Poiseuille law for laminar flow through a tube; for the normal permeability an empirical multilinear regression gives the best fit to the data. However, those models are not appropriate for extrapolations beyond the range of the available data (0.19≤g L≤0.66), particularly as g L approaches 1. For extrapolations, models based upon the Blake-Kozeny equation for flow through porous media are recommended.

Original languageEnglish (US)
Pages (from-to)245-255
Number of pages11
JournalMetallurgical Transactions B
Volume18
Issue number1
DOIs
StatePublished - Mar 1987

Fingerprint

dendrites
Flow of fluids
permeability
liquids
Extrapolation
extrapolation
regression analysis
Parallel flow
spacing
Laminar flow
parallel flow
Paraffin
Paraffins
Porous materials
paraffins
Volume fraction
laminar flow
tubes
Liquids

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Metals and Alloys
  • Materials Chemistry
  • Mechanics of Materials

Cite this

Permeability for flow of interdendritic liquid in columnar-dendritic alloys. / Poirier, David R.

In: Metallurgical Transactions B, Vol. 18, No. 1, 03.1987, p. 245-255.

Research output: Contribution to journalArticle

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