Applied Scientific Research

, Volume 42, Issue 3, pp 229–244 | Cite as

Axisymmetric solidification in a long cylindrical mold

  • S. C. Gupta


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.


Mold Actual Region Initial Temperature Exact Analytical Solution Axisymmetric Problem 
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Copyright information

© Martinus Nijhoff Publishers 1985

Authors and Affiliations

  • S. C. Gupta
    • 1
  1. 1.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

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