RT Journal Article
ID 26cba522337e36e7
A1 Muddamallappa, S. Mallikarjunaiah
A1 Bhatta, D.
A1 Riahi, Daniel N.
T1 LINEAR STABILITY ANALYSIS OF CONVECTIVE FLOW IN A MUSHY LAYER WITH A NON-UNIFORM MAGNETIC FIELD AND PERMEABLE MUSH-LIQUID INTERFACE
JF Journal of Porous Media
JO JPM
YR 2010
FD 2010-11-17
VO 13
IS 10
SP 925
OP 929
K1 convection
K1 convective flow
K1 hydromagnetic stability
K1 flow stability
K1 mushy layer
AB 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.
PB Begell House
LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,2e4b8b774559243b,26cba522337e36e7.html