Freezing process of nanomaterial inside thermal storage tank with amelioration in geometry utilizing Galerkin modeling

In the current attempt, the numerical technique (Galerkin method) has been implemented to scrutinize the solidification within the sustainable energy unit involving elliptic and sigma shaped cylinders. The domain is full of water and due to the cold condition of complex walls, the liquid water converts to solid and the rate of process was enhanced with addition alumina nanomaterial. The concentration and shapes of additives have been assumed as variables in this study. Mesh has been adopted with a position of solid front and validation test proved the correctness of modeling. The period for water is 1.36 times superior than that of NEPCM. The required time changes form 1144.04 s to 837.44 s with loading nanoparticles. As particles with greater shape factor have been utilized, the needed time declines around 6.98 %.