Abstract
Using a new embedding technique, short time exact analytical solution of a two-dimensional axisymmetric problem of solidification of a superheated melt in a long cylindrical mold is presented in this paper. The prescribed flux could be space and time dependent. The method of solution is simple and is applicable to a variety of problems and consists of assuming suitable fictitious initial temperatures for some suitable fictitious extensions of the actual regions. The numerical results indicate that even a small solidified thickness can affect the initial temperature of the melt appreciably.
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Gupta, S.C. Axisymmetric solidification in a long cylindrical mold. Appl. Sci. Res. 42, 229–244 (1985). https://doi.org/10.1007/BF00539342
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DOI: https://doi.org/10.1007/BF00539342