Weak non-linear analysis of moderate Stefan number stationary convection in rotating mushy layers

Saneshan Govender, Peter Vadasz

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

The effects of rotation on a mushy layer, during the solidification of binary alloys, is considered. A near-eutectic approximation and large far-field temperature are employed in order to decouple the mushy layer from the overlying liquid melt. The current study employs a new moderate time scale for mushy layers exhibiting Stefan numbers of unit order of magnitude. The weak non-linear theory is used to evaluate the leading order amplitude. The results of the weak non-linear theory are then used to established the nature of the bifurcation, that is whether the bifurcation is forward or inverse.

Original languageEnglish (US)
Pages (from-to)247-263
Number of pages17
JournalTransport in Porous Media
Volume49
Issue number3
DOIs
StatePublished - Dec 1 2002
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Catalysis
  • Chemical Engineering(all)

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