Forced flow and solidification over a moving substrate

We investigate fluid flow and solidification of a binary alloy on a moving substrate. We derive asymptotic solutions for the flow, thermal and concentration fields as well as the growth rate of the solid–liquid interface in the limit of small Prandtl number. We quantify the effect of a forced flow in the melt on the growth characteristics of a solid–liquid interface and the boundary-layer structure at the interface. We also examine the influence of the forced flow on a local advective flux of solute in the melt.