Digital Determination of the Thermal Conductivity of a Square Bar by Reduction to a System of Integral Equations

Digital twin method was used, which significantly reduces the cost of materials and time compared to full-scale experiments. The object under study is a three-dimensional body with a square section. The effect of point temperature and surface heat transfer on the rod is also taken into account. Under the assumptions made, the solution of the heat conduction equation described by a partial differential equation is reduced. Numerical algorithms are proposed, and its convergence is proved. As a result, a special program was developed. Table and one-dimensional graphs allow you to analyze the dynamics of temperature changes over time. This approach, using digital models and numerical calculations, greatly facilitates the process of studying the thermophysical properties of an object, providing reliable results for further analysis and interpretation.