Parameter-free test of alloy dendrite-growth theory

Craig B. Arnold, M. Aziz, Matthias Schwarz, D. Herlach

Research output: Contribution to journalArticlepeer-review

69 Scopus citations


In rapid alloy solidification the dendrite-growth velocity depends sensitively on the deviations from local interfacial equilibrium manifested by kinetic effects such as solute trapping. The dendrite tip velocity-undercooling function was measured in dilute Ni(Zr) over the range 1–25 m/s and 50–255 K using electromagnetic levitation techniques and compared to theoretical predictions of the model of Trivedi and colleagues for dendritic growth with deviations from local interfacial equilibrium. The input parameter to which the model predictions are most sensitive, the diffusive speed (Formula presented) characterizing solute trapping, was not used as a free parameter but was measured independently by pulsed laser melting techniques, as was another input parameter, the liquid diffusivity (Formula presented) Best-fit values from the pulsed laser melting experiment are (Formula presented) m/s and (Formula presented) (Formula presented) Inserting these values into the dendrite growth model results in excellent agreement with experiment with no adjustable parameters.

Original languageEnglish (US)
Pages (from-to)334-343
Number of pages10
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number1
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Parameter-free test of alloy dendrite-growth theory'. Together they form a unique fingerprint.

Cite this