Similarity solutions for phase-change problems

D. Canright*, Stephen H Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Ivanstov similarity solutions describe phase change in the absence of surface energy; these solutions have been extended in particular ways by many authors. The present paper gives a general formulation that includes, as special cases, all the previous results and extends the family in several new ways. This formulation describes phase-change processes limited by diffusion in systems that have n-components and possess cross-diffusion and Soret and Dufour effects as well as convection driven by density discontinuities at the two-phase interface. The interface can be shaped as any quadric surface. At the interface, local thermodynamic equilibrium is assumed as given by the fully nonlinear phase diagram. When the material properties are constant, analytic solutions are possible. One example illustrates the effects of Soret diffusion; the other shows the utility of these similarity solutions as local approximations in globally nonsimilar problems.

Original languageEnglish (US)
Pages (from-to)225-235
Number of pages11
JournalMetallurgical transactions. A, Physical metallurgy and materials science
Volume20 A
Issue number2
StatePublished - Feb 1 1989

ASJC Scopus subject areas

  • Engineering(all)

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