The encapsulation of particles and bubbles by an advancing solidification front

Min S. Park*, Alexander A. Golovin, Stephen H. Davis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


An insoluble particle, a solid sphere or a spherical bubble, submerged in a liquid and approached by an advancing solidification front, may be captured by the front or rejected. The particle behaviour is determined by an interplay among van der Waals interactions, thermal conductivity differences between the particle and the melt, solid-liquid interfacial energy, the density change caused by the liquid-solid phase transition, and in the case of a bubble, the Marangoni effect at the liquid-gas interface. We calculate the particle velocity and the deformation of the front when the particle is close to the front, using the lubrication approximation, and investigate how the particle speed, relative to the front, depends on the parameters that characterize the described effects.

Original languageEnglish (US)
Pages (from-to)415-436
Number of pages22
JournalJournal of fluid Mechanics
StatePublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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