Nikolaev_Manchester.pdf (2.04 MB)
Download file

Non-local modelling of heat conduction with phase change

Download (2.04 MB)
conference contribution
posted on 14.05.2021, 08:46 by Petr Nikolaev, Majid Sedighi, Andrey Jivkov, Lee Margetts
Accurate analysis of heat transfer with phase change is important for many natural phenomena and engineering applications. Modelling of this phenomenon is a challenging mathematical problem due to the multi-physical nature of the processes involved. The phase transition introduces strong non-linearity caused by rapid variations of thermo-physical properties of the material and release of latent heat of solidification or evaporation. We present a non-local approach for modelling heat diffusion with phase change (solidification) by developing a bond-based Peridynamic formulation that considers the enthalpy form of the heat transfer equation. The material domain is categorised into three regions -liquid, mushy and solid-separated by temperature-dependent boundaries. We present results obtained by the proposed model and compare them with the 1D analytical solution of a test problem. The comparison demonstrates that the model can predict accurately the position of the phase change front and the temperature distribution. Our approach can be used for coupled modelling of materials’ behaviour at various temperatures and phase states.



  • Science


  • Mathematical Sciences