Abstract

The numerical method was established for modeling the freezing of water within the container with leaf shape in this article. The model for presenting solidification contains two equations and momentum equations have been neglected due to low magnitude of PCM during freezing. Adaptive grid technique has been combined with implicit technique for simulation of current problem and accuracy of model has been checked based on previous data. The impacts of dispersing nanomaterial have been scrutinized in results. The conduction mode becomes stronger in the existence of nanoparticles. Loading higher concentrations of nano-powders causes the freezing rate to increase about 19.5 %. As the size of alumina powder decreases from 50 to 40 and 30 nm, the period alters from 854.74 s to 572.2 s and 715.8 s. With changing the material due to loading nanoparticles, the completion time decreases around 41.35 %.

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