The modelling of heat, mass and solute transport in solidification systems

V. R. Voller, A. D. Brent, C. Prakash

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Abstract

The aim of this paper is to explore the range of possible one-phase models of binary alloy solidification. Starting from a general two-phase description, based on the two-fluid model, three limiting cases are identified which result in one-phase models of binary systems. Each of these models can be readily implemented in standard single phase flow numerical codes. Differences between predictions from these models are examined. In particular, the effects of the models on the predicted macro-segregation patterns are evaluated.

Original languageEnglish (US)
Pages (from-to)1719-1731
Number of pages13
JournalInternational Journal of Heat and Mass Transfer
Volume32
Issue number9
DOIs
StatePublished - Sep 1989

Bibliographical note

Funding Information:
Acknowtedqernenfs-C. Prakash’s participation in this researchw as madep ossibleb y a Small BusinessIn novative ResearchG rant from NASA-Lewis (ContractN o. NASA-25331;c ontractm anagerD r Arnon Chait). A. D. Brent was funded by a Doctoral DissertationF ellowship from the GraduateS chool of the University of Minnesota.T he supportb y NASA-Lewis and the GraduateS chool of the Universityo f Minnesotai s gratefullya cknowledgedC. om-putationsw ere carried out on an AT&T 3b2/400m icro-computera nd a Cray 2. The supportb y both AT&T Information Systems,I nc. and the Minnesota Supercomputer Instituteis gratefullya cknowledgedT.h e authorsw oulda lso like to thankt heir colleaguews ho reviewede arlierv ersions of them anuscriptI.n particularD r M. Rappazo f EPFL and Dr C. Beckermannof the Universityo f Iowa.

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