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The Method of Integral Transformations for Solving Boundary-Value Problems for the Heat Conduction Equation in Limited Areas Containing a Moving Boundary

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Journal of Engineering Physics and Thermophysics Aims and scope

A method of integral transformations for solving the boundary-value problems for the equation of heat conduction in limited regions containing a moving boundary of phase transition has been developed. New integral representations of the solutions of boundary-value problems for the heat conduction equation under different boundary conditions assigned on the outer fixed boundaries of a limited region are obtained. The analytical expressions obtained by the proposed method for solving the indicated boundary-value problems are convenient for calculating and studying the temperature fields, as well as the velocity of motion of the interface at large Fourier numbers.

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Authors and Affiliations

  1. MIRÉA — Russian Technological University, 78 Vernadskii Ave, Moscow, 119454, Russia

    V. V. Shevelev

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  1. V. V. Shevelev
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Correspondence to V. V. Shevelev.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 96, No. 1, pp. 170–179, January–February, 2023.

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Shevelev, V.V. The Method of Integral Transformations for Solving Boundary-Value Problems for the Heat Conduction Equation in Limited Areas Containing a Moving Boundary. J Eng Phys Thermophy 96, 168–177 (2023). https://doi.org/10.1007/s10891-023-02673-5

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  • DOI: https://doi.org/10.1007/s10891-023-02673-5

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