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A similarity solution for the solidification of a multicomponent alloy. (English) Zbl 0921.76175

Summary: A similarity solution for a multicomponent solidification model is introduced. The model includes a complete coupling of solute and temperature fields in the mushy region, a eutectic reaction, macrosegregation, microsegregation and fluid flow. The similarity solution is demonstrated on comparing its results with predictions obtained from a full numerical solution.

MSC:

76T99 Multiphase and multicomponent flows
80A22 Stefan problems, phase changes, etc.
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