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A numerical study of geometrical effects on solidification of a compound droplet on a cold flat surface

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Abstract

In this study, the solidification process of a compound droplet is numerically simulated by an axisymmetric front-tracking/finite difference technique. The compound droplet placed on a cold flat surface in a gas environment consists of an inner gas core surrounded by a concentric shell phase-change liquid that forms an outer droplet. The initial droplet shape assumed as a spherical cap is therefore determined by two wetting angles known as the inner wetting angle (ϕ0i for the inner core) and the outer wetting angle (ϕ0o for the outer droplet). During the solidification process, there is the presence of two three-junction points where a prescribed growth angle ε is specified. We analyze the solidification process undergoing the influence of the geometrical aspects of the compound droplet including the growth angle and the wetting angles. It is found that the outer wetting angle ϕ0o and the growth angle have a strong influence on the solidified droplet that the droplet height increases with an increase in ϕ0o or ε while the height increment decreases with an increase in ϕ0o or with a decrease in ε. On the contrary, changing the shape of the inner core, in terms of ϕ0i, does not affect the outer shape after complete solidification. The effects of these parameters on the solidification time are also considered.

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Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.03-2019.307.

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Authors and Affiliations

  1. Faculty of Vehicle and Energy Engineering, Phenikaa University, Hanoi, Vietnam

    Binh D. Pham, Truong V. Vu, Nang X. Ho, Cuong T. Nguyen, Hoe D. Nguyen & Vinh T. Nguyen

  2. Graduate University of Science and Technology, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

    Binh D. Pham, Lien V. T. Nguyen, Hoe D. Nguyen & Vinh T. Nguyen

  3. Faculty of Mechanical Engineering and Mechatronics, Phenikaa, Hanoi, Vietnam

    Truong V. Vu

  4. A&A Green Phoenix Group, Phenikaa Research and Technology Institute (PRATI), 167 Hoang Ngan, Hanoi, Vietnam

    Truong V. Vu & Cuong T. Nguyen

  5. School of Transportation Engineering, Hanoi University of Science and Technology, Hai Ba Trung, 01 Dai Co Viet, Hanoi, Vietnam

    Hung V. Vu

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  1. Binh D. Pham
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Pham, B.D., Vu, T.V., Nguyen, L.V.T. et al. A numerical study of geometrical effects on solidification of a compound droplet on a cold flat surface. Acta Mech 232, 3767–3779 (2021). https://doi.org/10.1007/s00707-021-03024-2

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