Adhesion Upon Solidification and Detachment in the Melt Spinning of Metals

In planar-flow melt spinning, liquid metal is rapidly solidified, against a heat-sink wheel, into thin ribbons which adhere to the substrate wheel. In the absence of a blade to mechanically scrape the ribbon off the wheel, it may wrap fully around and re-enter the solidification region, called ‘catastrophic’ adhesion. Otherwise, detachment occurs part way around the wheel, called ‘natural’ detachment. Natural detachment occurs through a release of thermo-elastic stress after sufficient cooling of the ribbon, according to prior studies. This note extends prior work by invoking a crack propagation view of natural detachment which, when combined with a simple model of the thermo-elastic stress build-up and ribbon cooling, yields an adhesion/detachment criterion characterized by an interfacial adhesion/fracture energy \(\gamma \). For aluminum-silicon alloys frozen against a copper substrate, we report \(\gamma \approx\,\)60 N/m. The criterion can be used to predict detachment once a heat-transfer coefficient is known. We obtain this parameter from natural detachment experiments and then use it to predict catastrophic adhesion in a semi-empirical way. Our note puts a quantitative foundation underneath prior qualitative discussions in the literature. Alternatively, it demonstrates how the interfacial strength of adhesion, a property only of the pair of adhering materials, might be measured based on sticking distance experiments.