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Journal of Porous Media
Fator do impacto: 1.752 FI de cinco anos: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimir: 1091-028X
ISSN On-line: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v9.i6.30
pages 523-539

Effect of Darcy-Prandtl Number on the Stability of Solutal Convection in Solidifying Binary Alloy Systems

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

RESUMO

The Darcy-Prandtl number (or inverse Vadasz number) effect on solutal convection in a solidifying mushy layer is considered. A near-eutectic approximation and a large Stefan number scaling is employed in the current investigation. The linear stability theory is used to analytically investigate the effect of inverse Vadasz number on both stationary and oscillatory convection in solidifying mushy layers. It is found that as the inverse Vadasz number is increased in magnitude, the transition point, from stationary to oscillatory convection, increases in magnitude correspondingly. It is observed that the inverse Vadasz number plays a passive role in the stability of stationary convection, whilst it stabilizes the oscillatory mode of convection.


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