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    The effect of surface pattern property on the advancing motion of three-dimensional droplets

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    patternEffAdv_accepted manuscript.pdf
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    3.664Mb
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    PDF
    Description:
    Accepted manuscript
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    Type
    Article
    Authors
    Zhong, Hua
    Fan, Xiaolin
    Sun, Shuyu cc
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2021
    Embargo End Date
    2022-07-07
    Submitted Date
    2017-12
    Permanent link to this record
    http://hdl.handle.net/10754/670070
    
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    Abstract
    We investigate numerically the advancing motion of 3D droplets spreading on physically flat chemically heterogeneous surfaces with periodic structures. We use the Navier-Stokes-Cahn-Hilliard equations with the generalized Navier boundary conditions to model the motion of droplets. Based on a convex splitting scheme, we have done numerical simulations and compared the results between different surface patterns quantitatively. We study the effect of pattern property on the advancing motion of three phase contact lines, the critical volume at the contact line jump and the effective advancing angles. By increasing the volume of droplet slowly on heterogeneous surfaces with different pattern property, we find that the advancing contact line approaches an equiangular octagon for the patterned surface with periodic squares separated by channels and approaches a regular hexagon for the patterned surface with periodic circles in regular hexagonal arrays. The shape of three-phase contact line is much more determined by the macro structure of the pattern than the micro structure of the pattern in each period.
    Citation
    Zhong, H., Fan, X., & Sun, S. (2021). The effect of surface pattern property on the advancing motion of three-dimensional droplets. Discrete & Continuous Dynamical Systems - B, 26(10), 5551. doi:10.3934/dcdsb.2020366
    Sponsors
    This work was partially supported by National Natural Science Foundation of China (51969005,11701098) and partially supported by funding from King Abdullah University of Science and Technology (BAS/1/1351-01-01).
    Publisher
    American Institute of Mathematical Sciences (AIMS)
    Journal
    Discrete & Continuous Dynamical Systems - B
    DOI
    10.3934/dcdsb.2020366
    Additional Links
    https://www.aimsciences.org/article/doi/10.3934/dcdsb.2020366
    ae974a485f413a2113503eed53cd6c53
    10.3934/dcdsb.2020366
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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