The energy and solute conservation equations for dendritic solidification

David R Poirier, P. J. Nandapurkar, S. Ganesan

Research output: Contribution to journalArticle

111 Citations (Scopus)

Abstract

The energy equation for solidifying dendritic alloys that includes the effects of heat of mixing in both the dendritic solid and the interdendritic liquid is derived. Calculations for Pb-Sn alloys show that this form of the energy equation should be used when the solidification rate is relatively high and/or the thermal gradients in the solidifying alloy are relatively low. Accurate predictions of transport phenomena in solidifying dendritic alloys also depend on the form of the solute conservation equation. Therefore, this conservation equation is derived with particular consideration to an accounting of the diffusion of solute in the dendritic solid. Calculations for Pb-Sn alloy show that the distribution of the volume fraction of interdendritic liquid g L in the mushy zone is sensitive to the extent of the diffusion in the solid. Good predictions of g L are necessary, especially when convection in the mushy zone is calculated.

Original languageEnglish (US)
Pages (from-to)889-900
Number of pages12
JournalMetallurgical Transactions B
Volume22
Issue number6
DOIs
StatePublished - Dec 1991

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conservation equations
energy conservation
solidification
Solidification
Conservation
solutes
mushy zones
Liquids
liquids
predictions
Thermal gradients
Volume fraction
convection
heat
gradients
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Metals and Alloys
  • Materials Chemistry
  • Mechanics of Materials
  • Engineering(all)

Cite this

The energy and solute conservation equations for dendritic solidification. / Poirier, David R; Nandapurkar, P. J.; Ganesan, S.

In: Metallurgical Transactions B, Vol. 22, No. 6, 12.1991, p. 889-900.

Research output: Contribution to journalArticle

Poirier, David R ; Nandapurkar, P. J. ; Ganesan, S. / The energy and solute conservation equations for dendritic solidification. In: Metallurgical Transactions B. 1991 ; Vol. 22, No. 6. pp. 889-900.
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