Travelling solidification front in a pure supercooled melt
= Travelling solidification front in a pure supercooled melt
{title2=$T_l=T_\infty+\Delta T e^{-V\xi/\kappa},\quad S=1$}
For equal thermal properties and bounded travelling profiles on two deep half-spaces, the solid <temperature> is $T_m$ and the liquid profile is exponential. The <Stefan condition> requires $L=c_p\Delta T$. This balances the <latent heat> of <solidification> with warming of the initially supercooled liquid.