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多孔介质期刊
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ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

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多孔介质期刊

DOI: 10.1615/JPorMedia.v5.i2.40
9 pages

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

Saneshan Govender
School of Mechanical Engineering, University of Kwa-Zulu; School of Mechanical Engineering, University of Natal, Durban, South Africa; Eskom Holdings Ltd, Engineering Department (Gas Division), Eskom Enterprises Park, Simba Road, Sunninghill, Johannesburg
Peter Vadasz
Department of Mechanical Engineering, Northern Arizona University, PO Box 15600, Flagstaff, Arizona 86001, USA ; Faculty of Engineering, University of KZ Natal, Durban 4041, South Africa

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 Toylor number for the case of oscillatory convection.


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