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Mathematical modelling of heat transfer process in layered materials accounting for phase transitions in individual layers

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Thermophysics and Aeromechanics Aims and scope

Abstract

A mathematical model has been constructed for determining the temperature fields and motion of the phase transition boundaries without using the classical Stefan condition and the concentrated heat capacity. The model makes it possible to determine more accurately the location of the phase transition front and may be used at the computations for layered materials in the cases when there are several fronts, and they can merge. The modeling of the problem on determining the melting boundary in a three-layer material has been carried out for the one-dimensional case.

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Authors and Affiliations

  1. Far Eastern Federal University, Vladivostok, Russia

    O. N. Lyubimova & K. N. Pestov

Authors
  1. O. N. Lyubimova
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  2. K. N. Pestov
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Corresponding author

Correspondence to O. N. Lyubimova.

Additional information

The investigation was supported financially by the Federal Goal Program (Undertaking 1.2, Agreement No. 14.575.21.0009, Unique Identifier PNI REMEF157514X0009).

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Lyubimova, O.N., Pestov, K.N. Mathematical modelling of heat transfer process in layered materials accounting for phase transitions in individual layers. Thermophys. Aeromech. 22, 491–499 (2015). https://doi.org/10.1134/S0869864315040101

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  • DOI: https://doi.org/10.1134/S0869864315040101

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