K.V. Gubareva, A.V. Eremin

STUDYING THE HEAT TRANSFER PROCESS IN A POROUS MEDIUM WITH A FISCHER–KOCH S TPMS STRUCTURE

The paper reports a study of the process of heat transfer in a porous medium with internal heat sources. A model material is considered, which is a porous plate formed by Fischer–Koch S elementary cells, with a topology of triply periodic minimal surfaces. The results of solving the boundary value problem of thermal conductivity in a thin plate under symmetric boundary conditions of the first kind are presented. The developed numerical-analytical method is used to obtain a simple solution to the problem, taking into account the topological features of the material. Computational homogenization methods based on computer-aided engineering simulation in the Ansys software are used to determine the transfer coefficients and thermophysical properties of the area under study. The paper presents graphs of temperature distribution in a porous plate at different times and compares the obtained analytical solutions with numerical ones. The results of the study can be used in designing thermal protection of heat-generating equipment, heat and mass transfer paths in thermal and mechanical equipment, etc. The solutions are presented in a simple analytical form; this enables them to be used by a wide range of researchers and engineers and does not require using expensive software and hardware.

Acknowledgment: The study was supported by a grant from the Russian Science Foundation (RSF), No. 23-79-10044, https://rscf.ru/project/23-79-10044/. The use of Ansys in Samara State Technical University was licensed under agreement ЕП127/21 dated 04 October 2021.

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