The energy and solute conservation equations for dendritic solidification

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

Research output: Contribution to journalArticlepeer-review

120 Scopus citations


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
Issue number6
StatePublished - Dec 1991

ASJC Scopus subject areas

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


Dive into the research topics of 'The energy and solute conservation equations for dendritic solidification'. Together they form a unique fingerprint.

Cite this