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

Saneshan Govender, Peter Vadasz

Research output: Contribution to journalArticle

18 Citations (Scopus)

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 2002
Externally publishedYes

Fingerprint

Binary alloys
Nonlinear analysis
Eutectics
Solidification
Temperature distribution
Liquids
Convection

Keywords

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

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Weak non-linear analysis of moderate Stefan number stationary convection in rotating mushy layers. / Govender, Saneshan; Vadasz, Peter.

In: Transport in Porous Media, Vol. 49, No. 3, 12.2002, p. 247-263.

Research output: Contribution to journalArticle

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