Abstract
A math model for melt-spinning based on a two-dimensional steady-state condition has been developed. Because of the complexity of the processes involved, the solution of the full governing nonlinear partial differential equations and boundary conditions is not sought. Instead, the problem is analyzed using a control volume approach. In this approach, overall conservation laws for mass, momentum, and energy are satisfied for each of the zones into which the flow field can be conveniently subdivided. The zones are the reservoir, the nozzle, the liquid pool, and the solidified thin metal sheet. The conservation laws can be solved to yield the thickness of the sheet with the reservoir pressure, the ambient pressure, the nozzle/drum gap, the drum speed, and the geometry as input parameters. Because the model contains all the essential parameters, it can be used to optimize operation of the process or its dependence on any of the geometric or physical parameters.
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Berger, S.A., Ai, D.K. A simple fluid mechanical model for planar flow casting melt-spinning. Metall Trans B 19, 571–579 (1988). https://doi.org/10.1007/BF02659148
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DOI: https://doi.org/10.1007/BF02659148