Moderate time scale linear stability of moderate Stefan number convection in rotating mushy layers

Saneshan Govender, Peter Vadasz

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The solidification of a binary alloy in a mushy layer subject to Coriolis effects is considered. 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 linear stability theory is used to investigate analytically the Coriolis effect in a rotating mushy layer for both stationary and oscillatory convection for a new time scale proposed by the author. The linear theory established that in contrast to the problem of a stationary mushy layer, rotating the mushy layer has a stabilizing effect on convection. In addition it was found that the critical Rayleigh number and wave number are independent of the Taylor number for the case of oscillatory convection.

Original languageEnglish (US)
Pages (from-to)113-121
Number of pages9
JournalJournal of Porous Media
Volume5
Issue number2
StatePublished - 2002
Externally publishedYes

Fingerprint

Linear Stability
Convection
Rotating
Time Scales
convection
Coriolis effect
Binary alloys
Eutectics
Solidification
Temperature distribution
Rayleigh Waves
Binary Alloys
Rayleigh number
Rayleigh waves
Stability Theory
binary alloys
Far Field
eutectics
solidification
far fields

ASJC Scopus subject areas

  • Mechanical Engineering
  • Materials Science(all)
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes
  • Catalysis

Cite this

Moderate time scale linear stability of moderate Stefan number convection in rotating mushy layers. / Govender, Saneshan; Vadasz, Peter.

In: Journal of Porous Media, Vol. 5, No. 2, 2002, p. 113-121.

Research output: Contribution to journalArticle

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