Rapid Freezing of Dilute Alloys

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Abstract
The solidification process of a dilute binary alloy with complete mixing of the liquid and no diffusion in the solid is modelled, when a low temperature is imposed either directly or convectively at one end. The resulting moving-boundary problem has time-varying critical temperature which depends on the location of the interface. Approximations to the solution are constructed as perturbation expansions in powers of the Stefan number. As an example the solidification of a copper-nickel alloy is considered.

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