Two-dimensional solidification and melting in potential flows

Linda M. Cummings, Yuri E. Hohlov, Sam D. Howison, Konstantin Kornev

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


The problem of solidification or melting under the action of a forced hydrodynamic flow is considered. In the appropriate parameter régime, the problem admits a formulation in terms of analytic functions. It is shown that a crystal with a parabolic tip propagates without change of shape at a steady velocity. Some novel explicit solutions are presented.

Original languageEnglish (US)
Pages (from-to)1-18
Number of pages18
JournalJournal of Fluid Mechanics
StatePublished - Jan 10 1999
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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