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Journal of Porous Media
インパクトファクター: 1.49 5年インパクトファクター: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v8.i3.30
pages 271-280

Effects of the Darcy-Prandtl Number on the Linear Stability of Stationary Convection in Rotating Mushy Layers

Yeshern Maharaj
NECSA, P.O. Box 582, Pretoria, 0001, South Africa
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

要約

The linear stability analysis of convection in the mushy layer of a unidirectionally solidifying binary alloy of close to eutectic composition, subject to Coriolis effects is performed. The simplified model of Amberg and Homsy (J. Fluid Mech., 252, 79-98, 1993), which decouples the mushy layer from the overlying melt and underlying solid, is utilized for a Stefan number of unit order, for a near eutectic limit. The linear stability results indicates that the current formulation captures the effects of small Darcy-Prandtl numbers on the stability of convection and also indicates the correction on the results obtained by Govender and Vadasz (J. Porous Media, 5(2), 113-121, 2002a) for large Darcy-Prandtl numbers. The Rayleigh numbers predicted by the current formulation approaches those predicted by Govender and Vadasz for large Darcy-Prandtl numbers.


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