A Stefan problem for composite materials with an arbitrary number of moving phase-transition boundaries-Reference-Cited by-同舟云学术

A Stefan problem for composite materials with an arbitrary number of moving phase-transition boundaries

Published:2024-01-12 Issue:3 Volume:165 Page:236-245
ISSN:2500-2198
Container-title:Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
language:
Short-container-title:jour

Author:

Kuznetsova E. L.¹,Zhavoronok S. I.²

Affiliation:

1. Moscow Aviation Institute (National Research University)

2. Institute of Applied Mechanics, Russian Academy of Sciences

Abstract

A Stefan problem of heat transfer in semi-infinite bodies with an arbitrary number of unsteady moving boundaries during phase transitions was solved. Such problems arise when composite materials are heated at high temperatures, causing the binding agents to decompose (destruct) thermally, which leads to the formation of moving boundaries in the onset and end of phase transitions, mass transfer, etc. An analytical solution of the Stefan problem with an arbitrary number of unsteady moving boundaries was obtained. The heat transfer process with two moving boundaries was analyzed.

Publisher

Kazan Federal University

Reference11 articles.

1. Orekhov A., Rabinskiy L., Fedotenkov G. Analytical model of heating an isotropic half-space by a moving laser source with a Gaussian distribution. Symmetry, 2022, vol. 14, no. 4, art. 650. http://doi.org/10.3390/sym14040650.

2. Fedotenkov G., Rabinskiy L., Lurie S. Conductive heat transfer in materials under intense heat flows. Symmetry, 2022, vol. 14, no. 9, art. 1950. https://doi.org/10.3390/sym14091950.

3. Orekhov A.A., Rabinskiy L.N., Fedotenkov G.V., Hein T.Z. Heating of a half-space by a moving thermal laser pulse source. Lobachevskii J. Math., 2021, vol. 42, no. 8, pp. 1912–1919. http://doi.org/10.1134/s1995080221080229.

4. Sha M., Rabinskiy L.N., Orekhov A.A. Impact of raindrop erosion on structural components. Russ. Eng. Res., 2023, vol. 43, no. 7, pp. 834–837. https://doi.org/10.3103/S1068798X23070195.

5. Formalev V.F., Garibyan B.A., Orekhov A.A. Mathematical modeling of heat transfer in anisotropic half-space based on the generalized parabolic wave heat transfer equation. Lobachevskii J. Math., 2022, vol. 43, no. 7, pp. 1842–1849. https://doi.org/10.1134/S1995080222100110.