Non-equilibrium segregation during alloy solidification

M. E. Glicksman, R. N. Hills

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


The solute redistribution law that predicts non-equilibrium phase constitution in compositionally cored binary alloys is usually attributed as Scheil's equation. Earlier studies on this subject by G. H. Gulliver are occasionally cited but are thought by some to be either approximate or incomplete. It is shown that Gulliver fully recognized and developed the limit laws for non-equilibrium segregation in solidifying binary alloys no later than 1913 - almost 30 years prior to the publication of Scheil's paper. For reasons that remain obscure, however, he chose not to provide, or perhaps to burden, the reader of his paper with the mathematical details connecting his unusual, geometrically based derivation to the now well known segregation power law for solidification. By contrast, Scheil's familiar integral form for this power law was derived from a differential mass balance, which provides the standard mathematical setting used for this important equation. It is concluded that attribution of this significant accomplishment in solidification theory should properly be shared by both researchers and called the Gulliver-Scheil equation.

Original languageEnglish
Pages (from-to)153-159
Number of pages7
JournalPhilosophical Magazine A
Issue number1
Publication statusPublished - Jan 2001


Dive into the research topics of 'Non-equilibrium segregation during alloy solidification'. Together they form a unique fingerprint.

Cite this