S. Vanvaerenbergh et al., OSCILLATIONS INDUCED BY PURELY DIFFUSIVE PROCESSES IN PLANAR DIRECTIONAL SOLIDIFICATION FROM THE MELT, Journal of crystal growth, 158(3), 1996, pp. 369-376
The planar growth of directional solidification from a binary melt is
analyzed taking into account thermodiffusive transport. Both stable an
d overstable planar growth regimes are considered in the case of dilut
e alloys and as far as convective process does not modify the extent o
f the solute transition zone (the diffusion boundary layer) that appea
rs in the absence of convection. Under such conditions, thermodiffusio
n appears as a thermophoretic transport process. The extent of the dif
fusion boundary layer is divided by a factor mu(c) = 1 + D(T)G(l)/V, w
here D-T is the thermodiffusion coefficient, G(l) the interface therma
l gradient in the melt and V the growth rate. The solute profile is mo
dified accordingly. Planar overstable modes under the form of striatio
ns, are predicted. They appear with a period of the order of the ratio
of the isothermal diffusion coefficient divided by the square of the
growth rate. Such instabilities are expected in constitutionally super
cooled melts for systems with large positive liquidus slopes and Soret
coefficient for a threshold value of the solute concentration.