Heat transfer in a porous medium having an ordered gyroid-based macrostructure

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.