Simulation for performance of storage unit with analyzing water freezing in presence of nanoparticles

The influences of loading alumina with different range of diameter and concentration have been considered in this study. The single phase mixture for predicting the features of nanomaterial was incorporated and equations in unsteady form were presented. For deriving the solution of the model, Galerkin method was used incorpo-rating implicit technique. Validation tests have been provided and reasonable accuracy has been obtained. The geometry has tree shape fins which can help to accelerate the process. Although increasing size of powder can augment the interaction of them, the freezing time increases if the size of particles increases greater than 40 nm. Adding nano-powders can decrease the required time by about 41.26 %. With the changing size of nanoparticles, firstly, freezing time decreases about 20.02 % then it increases about 49.33 %. The minimum required time for freezing is 3991.58 s and this period happens when dp = 40 nm and & phi; = 0.04.