Modern approach to mathematical modeling of thermal processes in the axle box of rolling stock

Abstrak

This study develops a mathematical model for thermal processes in railway axle box assemblies to
enhance operational safety and reliability. The model applies fundamental heat transfer principles—
Fourier's law, heat conduction, and energy balance accounting for internal heat generation, convection,
and radiation. Using a homogeneous temperature distribution assumption, the problem is simplified to a
first-order differential equation. Numerical implementation via the Euler method in MATLAB yielded
quantitative temperature dynamics, stationary values, and system settling time. Comparative analysis of
convective and radiative losses was performed with graphical visualization. Results confirm the model's
adequacy to real operating conditions. The work provides a rigorously formalized approach suitable for
developing non-contact monitoring systems and integration into intelligent diagnostic complexes,
representing significant practical and scientific novelty.