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An innovative approach to optimizing cold storage in elliptic containers has been pioneered by integrating tree-shaped fins and diverse nanoparticle shapes into the water. The use of a finite element method, deliberately excluding the velocity term, distinguishes this work and allows for a focused exploration of the efficacy of these elements on the unsteady freezing. Addressing a research gap in the understanding of such processes within elliptic containers, especially in conjunction with tree-shaped fins, a holistic approach is taken compared to prior publications. The increase in “m'' correlates with a significant 6.98 % decrease in the freezing period, reducing the process time from 335s to 245.23s with the inclusion of nano-powders. The outputs showed that incorporating powders decline the freezing time about 26.79 %.