A parallelizable mesh-free approach for simulation of heat conduction in ferromagnetic particulate materials under magnetic field effect

摘要

A novel mesh-free approach has been developed to solve the conduction heat transfer equations in a particulate bed domain of ferromagnetic powder with and without magnetic field effect. The proposed method is based on a probabilistic approach to defining various configurations of energy transfer paths around an arbitrary particle called "local packed element", and results are compared with experimental data. Furthermore, a Monte-Carlo approach is used to calculate the magnetic field of a permanent magnet with an arbitrary shape on any arbitrary point around it, and the outcome is also compared against measurements. In both cases, the proposed mesh-free method shows excellent agreement with available empirical results. The proposed method is then used to model the effect of an external magnetic field in the conductive heat transfer in a particulate bed of ferromagnetic powder. It is concluded that the presence of a magnetic field increases thermal diffusion in ferromagnetic powder bed domains by increasing thermal conductivity.