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

Volume 13, Issue 10, 2010, pp. 925-929
DOI: 10.1615/JPorMedia.v13.i10.50
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ABSTRACT

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.

CITED BY
  1. Mytra G.S., Srimani P.K., Hydromagnetic Convection in a Mushy Layer with Variable Permeability – An Analytical Study, Procedia Engineering, 127, 2015. Crossref

  2. Bhatta Dambaru, Muddamallappa Mallikarjunaiah S., Riahi Daniel N., On weakly nonlinear evolution of convective flow in a passive mushy layer, Nonlinear Analysis: Real World Applications, 11, 5, 2010. Crossref

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