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Solution of nonlinear heat-conduction problems in a medium with phase transitions

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A new method is proposed for solving one-dimensional nonlinear heat-conduction problems in a medium having any number of phase transitions (nonlinear Stefan problems). The method consists of a direct calculation of the isotherms and reduces to the Cauchy problem for a system of ordinary differential equations.

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References

  1. L. I. Rubinshtein, The Stefan Problem [in Russian], Izd-vo Zvaigzne, Riga, 1967.

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Authors and Affiliations

  1. Moscow

    F. L. Chernous'ko

Authors
  1. F. L. Chernous'ko
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Additional information

The author thanks V. M. Kartvelishvili, a student at the Moscow Physicotechnical Institute, for writing the program and carrying out the calculations on a BÉSM-3M computer. The author thanks L. A. Chudov for useful comments.

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Chernous'ko, F.L. Solution of nonlinear heat-conduction problems in a medium with phase transitions. J Appl Mech Tech Phys 10, 167–175 (1969). https://doi.org/10.1007/BF00913098

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  • DOI: https://doi.org/10.1007/BF00913098

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