Numerical investigation of the problem of thermal conductivity in a porous material formed by Neovius elementary cells

In this paper, the boundary value problem of heat transfer in a porous plate formed by triply periodic minimal surfaces of the Neovius type is considered. The mathematical formulation of the problem contains a one-dimensional differential heat transfer equation that takes into account the influence of the geometric characteristics of the elementary cells on the thermophysical properties of a porous plate. The solution of the boundary value problem was carried out by the finite difference method in the Mathcad software package. Graphs of the distribution of temperature curves in a porous plate in spatial coordinate and in time are obtained. Based on the results obtained, it is possible to design thermal insulation with specified thermophysical and mechanical properties.