Abstract
<jats:p>Friction losses account for a significant portion of energy consumption in technological processes. Modern lubricants are multi-component systems, and carbon nanoparticles have recently been actively used as additives. This significantly improves the thermal conductivity of the lubricant and promotes more efficient heat dissipation from the friction zone. However, the widespread use of such materials is hindered due to the lack of reliable methods to calculate the thermal state of the lubricant layer, taking into account the concentration of additives and the nonlinear nature of the processes occurring. The numerical solution of the heat conduction problem is based on the cell model of Markov chain theory. A model of thermal conductivity in a two-component lubricant has been proposed. Two heat flows have been considered for different components of the lubricant taking into account the mutual exchange of energies between them. As a result of the numerical experiment, the dependences of the lubricating layer temperature on the additive concentration have been obtained and studied. Temperature gradients within the lubricating layer have been calculated. The influence of the power and position of the heat source on the temperature distribution has been shown. The developed thermal conductivity model and the obtained results allow us to predict the temperature distribution in the lubricant layer and select the concentration of additives for the required friction pair operating parameters.</jats:p>