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

Saneshan Govender, Peter Vadasz

Research output: Contribution to journalArticle

27 Citations (Scopus)

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 2002
Externally publishedYes

Fingerprint

Binary alloys
Nonlinear analysis
Eutectics
Solidification
Temperature distribution
Convection

Keywords

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

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Weak nonlinear analysis of moderate Stefan number oscillatory convection in rotating mushy layers. / Govender, Saneshan; Vadasz, Peter.

In: Transport in Porous Media, Vol. 48, No. 3, 09.2002, p. 353-372.

Research output: Contribution to journalArticle

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