Numerical Simulation of Non-Stationary Heat Conduction in Axisymmetric Bodies
Abstract
The article investigates non-stationary heat conduction in axisymmetric bodies using a numerical modeling approach. The study addresses the problem of heat transfer in cylindrical structures, accounting for variations in geometry and boundary conditions. The motivation lies in the need to analyze heat propagation in engineering components with axisymmetric geometry where analytical solutions are difficult or impossible to obtain. A finite element method based on triangular mesh elements is applied to discretize the domain, and a time-dependent solution algorithm is developed using a central-difference scheme. The results include temperature distributions in solid and hollow cylindrical steel structures, showing that geometric features such as rectangular or circular voids significantly affect the heat transfer process. In particular, the presence of holes alters the temperature field and causes local redistribution of heat flux. The numerical results demonstrate high accuracy, with deviations within 2% when compared to existing data. The study concludes that the developed model effectively captures the influence of geometric characteristics on the temperature field in axisymmetric bodies and is suitable for solving complex heat transfer problems in engineering applications.