Numerical model for dendritic solidification of binary alloys

S. D. Felicelli, J. C. Heinrich, D. R. Poirier

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


A finite element model capable of simulating solidification of binary alloys and the formation of freckles is presented. It uses a single system of equations to deal with the all–liquid region, the dendritic region, and the all–solid region. The dendritic region is treated as an anisotropic porous medium. The algorithm uses the bilinear isoparametric element, with a penalty function approximation and a Petrov–Galerldn formulation. Numerical simulations are shown in which an NH4 Cl–H2O mixture and a Pb–Sn alloy melt are cooled. The solidification process is followed in time. Instabilities in the process can be clearly observed and the final compositions obtained.

Original languageEnglish (US)
Pages (from-to)461-481
Number of pages21
JournalNumerical Heat Transfer, Part B: Fundamentals
Issue number4
StatePublished - Jun 1993

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications


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