Weak nonlinear analysis of moderate Stefan number oscillatory convection in rotating mushy layers

Saneshan Govender, Peter Vadasz

Research output: Contribution to journalArticle

27 Scopus citations

Abstract

We consider the solidification of a binary alloy in a mushy layer subject to Coriolis effects. A near-eutectic approximation and large far-field temperature is employed in order to study the dynamics of the mushy layer with a Stefan number of unit order of magnitude. The weak nonlinear theory is used to investigate analytically the Coriolis effect in a rotating mushy layer for a new moderate time scale proposed by the author. It is found that increasing the Taylor number favoured the forward bifurcation.

Original languageEnglish (US)
Pages (from-to)353-372
Number of pages20
JournalTransport in Porous Media
Volume48
Issue number3
DOIs
StatePublished - Sep 1 2002
Externally publishedYes

Keywords

  • Free convection
  • Mushy layers
  • Oscillatory convection
  • Rotating flows
  • Solidification
  • Taylor number

ASJC Scopus subject areas

  • Catalysis
  • Chemical Engineering(all)

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