Permeability for flow through equiaxed-dendritic alloys

David R Poirier, J. C. Heinrich, R. G. Erdmann, M. S. Bhat

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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 (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.

Original languageEnglish (US)
Title of host publicationProceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing
EditorsR. Abbaschian, H. Brody, A. Mortensen, R. Abbaschian, H. Brody, A. Mortensen
Pages287-296
Number of pages10
StatePublished - 2000
EventProceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing - Cambridge, MA, United States
Duration: Jun 28 2000Jun 30 2000

Other

OtherProceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing
CountryUnited States
CityCambridge, MA
Period6/28/006/30/00

Fingerprint

Microstructure
Volume fraction
Liquids
Sedimentation
Solidification
Flow of fluids
Quenching
Processing
Experiments

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Poirier, D. R., Heinrich, J. C., Erdmann, R. G., & Bhat, M. S. (2000). Permeability for flow through equiaxed-dendritic alloys. In R. Abbaschian, H. Brody, A. Mortensen, R. Abbaschian, H. Brody, & A. Mortensen (Eds.), 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.

Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing. ed. / R. Abbaschian; H. Brody; A. Mortensen; R. Abbaschian; H. Brody; A. Mortensen. 2000. p. 287-296.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Poirier, DR, Heinrich, JC, Erdmann, RG & Bhat, MS 2000, Permeability for flow through equiaxed-dendritic alloys. in R Abbaschian, H Brody, A Mortensen, R Abbaschian, H Brody & A Mortensen (eds), 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.
Poirier DR, Heinrich JC, Erdmann RG, Bhat MS. Permeability for flow through equiaxed-dendritic alloys. In Abbaschian R, Brody H, Mortensen A, Abbaschian R, Brody H, Mortensen A, editors, Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing. 2000. p. 287-296
Poirier, David R ; Heinrich, J. C. ; Erdmann, R. G. ; Bhat, M. S. / Permeability for flow through equiaxed-dendritic alloys. Proceedings of the Merton C. Flemings Symposium on Solidification and Materials Processing. editor / R. Abbaschian ; H. Brody ; A. Mortensen ; R. Abbaschian ; H. Brody ; A. Mortensen. 2000. pp. 287-296
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