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Fluid mechanics of the planar‐flow melt‐spinning process
Author(s) -
Steen Paul H.,
Kent Carpenter J.,
Yu Ho
Publication year - 1988
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690341011
Subject(s) - mechanics , ribbon , melt spinning , spinning , heat transfer , materials science , planar , fluid dynamics , fluid mechanics , flow (mathematics) , thermodynamics , volumetric flow rate , composite material , physics , computer graphics (images) , computer science
The planar‐flow melt‐spinning process which is used to rapidly solidify metals from the molten state is shown to be dominated by the fluid mechanics of the “puddle” region even though heat‐transfer limits the overall thickness of the metal ribbon product. The process is modeled to account for the hydrodynamical forces in the molten region with the influence of heat‐transfer entering through a parameter measuring solidification rate relative to wheel speed. It is shown that this parameter H controls the deviation of the flow behavior from classical coating flow solutions; these solutions are recovered in a limiting case of low solidification rate. A perturbation solution in H distinguishes the melt spinning from the coating process and yields the ribbon thickness as a function of wheel‐speed and the other process parameters for a class of contact‐line conditions. Most interesting of these predictions is the result that under certain conditions there is a window of wheel‐speeds for which there is no steady solution. The relationship of predictions with the limited available data from experiment is briefly discussed.