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Numerical assessment of freezing of water in existence of nanoparticles inside container

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Abstract

In this article, utilizing curved wall for container and dispersing nanoparticles were utilized as method of promotion of efficacy of system. Container has two cold surfaces with shapes elliptic and sinusoidal. So, ice front has close curved form during the freezing. Alumina nanoparticles with three sizes have been exploited and efficacies of diameter of powders were involved. Galerkin’s approach for modeling the present problem has good accuracy and utilizing an adaptive grid may be one reason for such accuracy. As nanoparticle is added to the water, the requested time declines by 41.26%. The highest impact of concentration belongs to particles with a radius of 20 nm. Given ϕ = 0.04, as the diameter of particles alters from minimum to maximum values, the freezing time firstly declines about 20.01% then it increases around 49.3%.

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Acknowledgements

Authors appreciate and thank Taif University for the financial support for Taif University Researchers Supporting Project (TURSP-2020/07), Taif University, Taif, Saudi Arabia.

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Authors and Affiliations

  1. Department of Chemistry, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    Hosam A. Saad

  2. Department of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz, University, Al-Aflaj, 710-11912, Saudi Arabia

    Amira M. Hussin

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Correspondence to Amira M. Hussin.

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Saad, H.A., Hussin, A.M. Numerical assessment of freezing of water in existence of nanoparticles inside container. Eur. Phys. J. Plus 137, 1118 (2022). https://doi.org/10.1140/epjp/s13360-022-03274-6

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