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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.v13.i10.50
pages 925-929

LINEAR STABILITY ANALYSIS OF CONVECTIVE FLOW IN A MUSHY LAYER WITH A NON-UNIFORM MAGNETIC FIELD AND PERMEABLE MUSH-LIQUID INTERFACE

S. Mallikarjunaiah Muddamallappa
Department of Mathematics, Texas A&M University College Station, Texas
D. Bhatta
Department of Mathematics, The University of Texas-Pan American, Edinburg, Texas 785392999
Daniel N. Riahi
School of Mathematical and Statistical Science, University of Texas Rio Grande Valley, Edinburg, Texas 78539, USA

RESUMO

We consider the linear stability analysis of convective flow in a horizontal mushy layer of constant permeability during alloy solidification with a permeable mush-liquid interface and under the influence of an externally imposed, nonuniform magnetic field. The nondimensional forms of the governing equations are solved for the steady basic-state solution. The linear perturbation system is solved using multiple shooting methods for the neutral stability boundary for different values of the Rayleigh number and the other parameters. We study three cases of the effect of externally imposed magnetic field on the flow during solidification. It is found that the present interface condition destabilizes the convection by decreasing the critical Rayleigh number Rc, but the nonuniform magnetic field has a stabilizing effect on the convective flow in the mushy layer.


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