Solutal convection and morphological instability in directional solidification of binary alloys. - II. Effect of the density difference between the two phases

Abstract
We extend the perturbative analysis of the coupling between front deformation and solutal convection performed in a recent article [3] to include the effect of « advection », i.e. of the flow induced by the density change associated with solidification. We study the resulting shifts of the bifurcation from the stationary planar front regime. We show that, for the convective branch, the effect of advection is comparable to that of the convection-deformation coupling, while, for the morphological branch, it is by far dominant

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