Multiscale level-set method for accurate modeling of immiscible two-phase flow with deposited thin films on solid surfaces

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• 作者：Moataz O. Abu-Al-Saud ; ^{motaz@stanford.edu} ; Amir Riaz ; ^{ariaz@umd.edu} ; Hamdi A. Tchelepi ; ^{tchelepi@stanford.edu}
• 关键词：Level-set method ; Moving contact line ; Thin-film ; Lubrication approximation ; Multiscale
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：333
• 期：Complete
• 页码：297-320
• 全文大小：1751 K
• 卷排序：333

文摘

We developed a multiscale sharp-interface level-set method for immiscible two-phase flow with a pre-existing thin film on solid surfaces. The lubrication approximation theory is used to model the thin-film equation efficiently. The incompressible Navier–Stokes, level-set, and thin-film evolution equations are coupled sequentially to capture the dynamics occurring at multiple length scales. The Hamilton–Jacobi level-set reinitialization is employed to construct the signed-distance function, which takes into account the deposited thin-film on the solid surface. The proposed multiscale method is validated and shown to match the augmented Young–Laplace equation for a static meniscus in a capillary tube. Viscous bending of the advancing interface over the precursor film is captured by the proposed level-set method and agrees with the Cox–Voinov theory. The advancing bubble surrounded by a wetting film inside a capillary tube is considered, and the predicted film thickness compares well with both theory and experiments. We also demonstrate that the multiscale level-set approach can model immiscible two-phase flow with a capillary number as low as 10−610−6.