Heat transfer in a porous medium having an ordered gyroid-based macrostructure
https://doi.org/10.32362/2500-316X-2025-13-5-95-103
EDN: YKAHQQ
Abstract
Objectives. Triply periodic minimal surfaces are non-intersecting surfaces with zero mean curvature, consisting of elements repeating in three directions of the Cartesian coordinate system. The use of structures based on minimal surfaces in heat engineering equipment is associated with their advantages over classical lattice and honeycomb structures, often used in practice. The aim of the work is to study heat transfer during filtration flow in a porous medium of an incompressible fluid having an ordered macrostructure based on gyroid triply periodic minimal surface.
Methods. In order to solve the problem of heat transfer in a porous medium, the finite difference method is used. As a means of implementing the finite difference method algorithm, the Heat Transfer Solver software was developed in the Python programming language.
Results. The described software program was used to obtain a numerical solution of the heat transfer problem in a porous medium with an ordered macrostructure using the finite difference method. The program functionality enables the investigation of the heat transfer process dynamics and the influence of various parameters on the temperature distribution. The program was used to study the heat transfer process in a porous medium based on gyroid triply periodic minimal surface. Graphical dependencies of the solid framework and fluid temperatures, as well as the heat flux on the coordinate at different time steps, were obtained. Characteristic time intervals with the highest absolute temperature gradient values were identified.
Conclusions. The results of the work, including both the developed software and the obtained temperature dependencies, can be used in a number of engineering problems where it is important to predict the temperature distribution in porous materials under various operating conditions.
Keywords
porous medium,
fluid flow,
heat transfer,
triply periodic minimal surface,
gyroid,
finite difference method
Supporting agencies: The study was supported by the Russian Science Foundation, grant No. 23-79-10044, https://rscf.ru/project/23-79-10044/.
About the Authors
A. I. Popov
Samara State Technical University
Russian Federation
Competing Interests:
Russian Federation
Andrey I. Popov, Cand. Sci. (Eng.), Senior Lecturer, Department of Industrial Heat Power Engineering
244, Molodogvardeyskaya ul., Samara, 443100
Scopus Author ID 57216363622
RSCI SPIN-code 5560-6869
Competing Interests:
The authors declare no conflicts of interest.
А. V. Eremin
Samara State Technical University
Russian Federation
Competing Interests:
Russian Federation
Anton V. Eremin, Dr. Sci. (Eng.), Associate Professor, Head of Department of Industrial Heat Power Engineering
244, Molodogvardeyskaya ul., Samara, 443100
Scopus Author ID 56395547000
ResearcherID D-6936-2014
RSCI SPIN-code 3892-0775,
Competing Interests:
The authors declare no conflicts of interest.
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Popov A.I., Eremin А.V. Heat transfer in a porous medium having an ordered gyroid-based macrostructure. Russian Technological Journal. 2025;13(5):95-103. https://doi.org/10.32362/2500-316X-2025-13-5-95-103. EDN: YKAHQQ
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