Abstract

A correct implicit unconditionally stable numerical method for modelling heat transfer in heat accumulators with many phases and free phase boundaries movement of has been developed and presented. The stability of the implicit numerical scheme for approximating the energy equation is studied. As an example, a hardening process of zinc casting with a thickness of 10 cm was considered and compared with the results of calculations by another author.

Highlights

  • The thermal energy accumulation problem via phase transition is one of the most important at present

  • A large number of scientific papers have been devoted to the problems of heat transfer during phase transitions and increase over time

  • It should be noted that the solidification of a round drop of liquid was first investigated by Lame back in 1831 [2]. The solution of this class of problems allows one to predict ice melting in the ocean, and to study heat transfer in the soil [3], during metal casting and 3D printing [4], as well as when creating heat accumulators

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Summary

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