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Moderate Time Scale Linear Stability of Moderate Stefan Number Convection In Rotating Mushy Layers

Том 5, Выпуск 2, 2002, 9 pages
DOI: 10.1615/JPorMedia.v5.i2.40
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Краткое описание

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 Toylor number for the case of oscillatory convection.

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