Localisation of convection in mushy layers by weak background flow

S. M. Roper, S. H. Davis, P. W. Voorhees

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


It is known that freckles form at the sidewalls of directionally solidified materials. We present a weakly nonlinear analysis of the effects of a weak and slowly varying background flow formed by non-axial thermal gradients on convection near onset in a mushy layer. We find that in the two-dimensional case, the onset of mush convection occurs away from the walls. However if three-dimensional disturbances are allowed, the onset occurs near the walls of the container confining the mush. We derive amplitude equations governing this behaviour and simulate their evolution numerically.

Original languageEnglish (US)
Pages (from-to)518-528
Number of pages11
JournalJournal of fluid Mechanics
StatePublished - May 25 2011


  • convection in porous media
  • low-dimensional models
  • solidification/melting

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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