A Mathematical Model of Phase Change Materials (PCM) used in Buildings

S. Guichard, F. Miranville, and H. Boyer (France)


Phase change, solid fraction, latent heat, function sigmoid, phase change material (PCM).


Phase change materials (PCM) can stock/destock a large amount of energy in latent heat when changing phase from liquid to solid, and vice versa. In other words, heat is ab sorbed or released during the transition from one state to another (and vice versa). The MCP have the capacity to improve the comfort of buildings and to reduce energy con sumption. But during the phase change of a pure body or alloyed, there is a transition zone, which is a discontinu ity of the interface. It is therefore difficult to describe the position of solidification front (or melting). In this paper, we propose a method based on finite differences in 1-D to describe the phase change in a PCM over time. Among the many methods published in literature, we choosed the en thalpy method ([1],[2]) which allows a resolution using an Euler scheme. In addition, for this method, it is not nec essary to know the position of the solidification front (or merger) which allows to treat complex geometries. Numer ical simulations were performed under Matlab.

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